This document provides instructions for modeling a canal in VRML format using TIN in ArcGIS, including:
1. Creating polygons of different elevations in a shapefile
2. Creating a TIN from the shapefile
3. Exporting the TIN to a VRML file format
This document explains how to graph a line using the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept. It gives the example of the line with slope -2/3 and y-intercept 6, so the equation is y=-2/3x+6. To graph this line, you plot the y-intercept point (0,6) and then find the next point by moving down 2 units and right 3 units, and connect the two points with a straight line with arrows on the ends.
Here in this presentation we will be getting to know about Implicit Interpolation Analytical Curves related to Manufacturing and Designing, Design criteria, we'll be going through interpolating Curves and Equations, interpolating Matrices and Blending Functions
This document discusses different ways to mathematically represent curves, including polynomial representations and parametric forms. It focuses on cubic polynomials and parametric representations, explaining that parametric form solves problems with explicit and implicit forms by allowing representation of curves with infinite slopes or multiple y-values for a given x-value. Parametric form also makes it easier to combine curve segments continuously. The document then discusses spline curves, which use piecewise cubic polynomial functions to fit smooth curves through points, and cubic splines specifically, providing the equations used to define cubic splines.
This document summarizes different types of surfaces that are important from a CAD/CAM perspective. It discusses analytic surfaces like planes, ruled surfaces, tabulated surfaces, and surfaces of revolution which are defined by equations. It also discusses synthetic surfaces like Hermite bi-cubic surfaces, Bezier surfaces, B-spline surfaces, Coons surfaces, fillet surfaces, and offset surfaces which are defined by a set of data points and approximated with polynomials. The document provides examples and definitions of each surface type.
This document provides steps to calculate the standard deviation of a dataset. It includes a sample dataset of the number of train wrecks from 1950-1960. The steps are: 1) Find the average of the dataset; 2) Calculate the deviations from the average; 3) Square the deviations and sum them; 4) Divide the sum by the number of data points; 5) Take the square root of the result to obtain the standard deviation of 2.1489.
Fingerprints are the most popular and reliable biometric feature used for security applications due to their stability and uniqueness. There are over 120 fingerprint patterns classified, with the top five being arch, tented arch, left loop, right loop, and whorl. Fingerprint recognition involves enrollment, verification, and identification, with the main techniques being minutiae extraction and pattern matching. Minutiae extraction represents fingerprints by local ridge endings and bifurcations, while pattern matching compares basic fingerprint patterns between a stored template and candidate print.
This document provides instruction on writing and graphing linear equations in slope-intercept and standard form. It includes examples of finding the slope and y-intercept from an equation in slope-intercept form, writing an equation given the slope and y-intercept, graphing lines from their equations, finding x- and y-intercepts to graph in standard form, and transforming between the two forms. Students are provided practice problems to complete for homework.
This document discusses how to graph linear inequalities in two variables. It provides examples of graphing different types of inequalities, such as x < 2, y ≥ 3, and x + y < 3. The key steps are to first graph the corresponding equal sign equation, and then determine which side of the line to shade based on whether the inequality sign is <, >, ≤, or ≥. Shading goes to the left or below the line for < or ≤, and to the right or above the line for > or ≥.
This document explains how to graph a line using the slope-intercept form y=mx+b, where m is the slope and b is the y-intercept. It gives the example of the line with slope -2/3 and y-intercept 6, so the equation is y=-2/3x+6. To graph this line, you plot the y-intercept point (0,6) and then find the next point by moving down 2 units and right 3 units, and connect the two points with a straight line with arrows on the ends.
Here in this presentation we will be getting to know about Implicit Interpolation Analytical Curves related to Manufacturing and Designing, Design criteria, we'll be going through interpolating Curves and Equations, interpolating Matrices and Blending Functions
This document discusses different ways to mathematically represent curves, including polynomial representations and parametric forms. It focuses on cubic polynomials and parametric representations, explaining that parametric form solves problems with explicit and implicit forms by allowing representation of curves with infinite slopes or multiple y-values for a given x-value. Parametric form also makes it easier to combine curve segments continuously. The document then discusses spline curves, which use piecewise cubic polynomial functions to fit smooth curves through points, and cubic splines specifically, providing the equations used to define cubic splines.
This document summarizes different types of surfaces that are important from a CAD/CAM perspective. It discusses analytic surfaces like planes, ruled surfaces, tabulated surfaces, and surfaces of revolution which are defined by equations. It also discusses synthetic surfaces like Hermite bi-cubic surfaces, Bezier surfaces, B-spline surfaces, Coons surfaces, fillet surfaces, and offset surfaces which are defined by a set of data points and approximated with polynomials. The document provides examples and definitions of each surface type.
This document provides steps to calculate the standard deviation of a dataset. It includes a sample dataset of the number of train wrecks from 1950-1960. The steps are: 1) Find the average of the dataset; 2) Calculate the deviations from the average; 3) Square the deviations and sum them; 4) Divide the sum by the number of data points; 5) Take the square root of the result to obtain the standard deviation of 2.1489.
Fingerprints are the most popular and reliable biometric feature used for security applications due to their stability and uniqueness. There are over 120 fingerprint patterns classified, with the top five being arch, tented arch, left loop, right loop, and whorl. Fingerprint recognition involves enrollment, verification, and identification, with the main techniques being minutiae extraction and pattern matching. Minutiae extraction represents fingerprints by local ridge endings and bifurcations, while pattern matching compares basic fingerprint patterns between a stored template and candidate print.
This document provides instruction on writing and graphing linear equations in slope-intercept and standard form. It includes examples of finding the slope and y-intercept from an equation in slope-intercept form, writing an equation given the slope and y-intercept, graphing lines from their equations, finding x- and y-intercepts to graph in standard form, and transforming between the two forms. Students are provided practice problems to complete for homework.
This document discusses how to graph linear inequalities in two variables. It provides examples of graphing different types of inequalities, such as x < 2, y ≥ 3, and x + y < 3. The key steps are to first graph the corresponding equal sign equation, and then determine which side of the line to shade based on whether the inequality sign is <, >, ≤, or ≥. Shading goes to the left or below the line for < or ≤, and to the right or above the line for > or ≥.
This document provides an introduction and overview of fractals. It begins by defining fractals as rough or fragmented geometric shapes that are self-similar and scale-independent. The first fractals were discovered by Gaston Julia in the early 20th century, and the term "fractal" was coined by Benoit Mandelbrot in 1975. Key properties of fractals are described, including self-similarity across scales, formation through iteration, and fractional dimension. Examples like the Koch snowflake and Sierpinski triangle are shown and their fractal dimensions are calculated. Real-world examples of fractals in nature and animation movies are also briefly mentioned.
Slope is a measure of steepness that represents the rate of change between two points on a line. It is commonly represented by the letter m. The formula for calculating slope given two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1). Slope can be found from an equation by rewriting it in slope-intercept (y = mx + b) or standard (Ax + By = C) form and calculating m as -A/B. Slope can also be determined graphically by calculating the rise over run between two points.
The Cohen-Sutherland algorithm divides the plane into 9 regions and uses 4-bit codes to encode whether each endpoint of a line segment is left, right, above, or below the clipping window. It then uses the endpoint codes to either trivially accept or reject the line segment, or perform clipping by calculating the intersection point of the line with the window boundary and replacing the outside endpoint. The main steps are to assign codes to endpoints, AND the codes to check for trivial acceptance or rejection, clip by replacing outside endpoints if needed, and repeating for other line segments.
This document discusses slope, y-intercept, and how to find and graph linear equations. It defines slope as the ratio that describes a line's tilt and explains how to calculate slope using rise over run between two points on a line. It also discusses how to find the y-intercept, and then use slope and y-intercept to write the equation of a line in y=mx+b form. Examples are provided for finding slope from tables of values and graphing linear equations on a coordinate plane.
1) The document describes how to construct a tri-hexa-flexagon, which is a paper model that can reveal 6 unique patterns.
2) It provides detailed instructions on cutting and folding a template to create the flexagon, including diagrams to illustrate each step.
3) Flexagons can help students visualize geometric figures and discover their characteristics in a hands-on way. They can also be used to conceal and reveal hidden messages or designs.
Bezier surfaces are parametric surfaces used in computer graphics and CAD/CAM. They are based on Bernstein polynomials and control points. A Bezier surface is defined by a grid of control points that determine the shape of the surface. Changing control points modifies the shape globally. B-spline surfaces allow for more local control and ensure continuity between patches. Coons patches interpolate between four boundary curves to generate a smooth surface. Sculptured surfaces are used for complex, free-form shapes and consist of blended parametric surface patches.
This document discusses synthetic curves used in mechanical CAD. Synthetic curves are needed to model complex curved shapes and allow manipulation by changing control point positions. There are three main types of synthetic curves: Hermite cubic splines, Bezier curves, and B-spline curves. Bezier curves use control points to influence the curve path without requiring the curve to pass through the points. The curve is defined by a polynomial equation involving blending functions. Bezier curves have tangent lines at the start and end points and maintain tangency when control points are moved.
Slope is a measure used to describe the steepness of a line and can be positive, negative, or zero. It is calculated by taking the rise over the run between two points (x1, y1) and (x2, y2) using the formula m = (y2 - y1) / (x2 - x1). The letter m is used to represent slope. Examples are provided to demonstrate calculating slope between two points and to show what a slope of zero or undefined slope would mean.
This document describes experiments conducted to evaluate color conformance of an offset printing process according to ISO 12647-2. It involves preparing test forms, qualifying inks and paper, and printing using linear and curved plates. Results for color, tone value and gray balance reproduction are analyzed. Conformance is improved when using curved plates which better reproduce tone value curves through adjustments made during printing. The experiments provide insight into implementing tone value control methods to achieve color standards compliance in offset printing.
This document discusses different types of surface modelling techniques. Parametric surfaces and implicit surfaces are the two main types used in modelling systems. Parametric surfaces are defined by a set of coordinate functions, while implicit surfaces are defined by a polynomial equation. Common parametric surfaces include planes, ruled surfaces, surfaces of revolution, and B-splines. Multiple parametric surface patches can be joined to model more complex shapes. Surface modelling allows representing complex object geometries and is useful for mass properties calculation, interference detection, and finite element analysis.
This document discusses different types of surface models used in computer graphics, including:
- Plane, ruled, surface of revolution, tabulated, bilinear, Coons patch, and bicubic surfaces. Plane and ruled surfaces are linear, while surfaces of revolution and tabulated surfaces are axisymmetric. Bilinear surfaces are generated by interpolating 4 endpoints and are useful for finite element analysis. Coons patches interpolate 4 edge curves. Bicubic surfaces use parametric curves and interpolation of control points to define smooth surfaces.
This document discusses two common parametric surface representations: Hermite bi-cubic surfaces and Bezier surfaces.
Hermite bi-cubic surfaces connect four corner points and eight tangent vectors at the corners, requiring 16 vectors (48 scalars) to determine the surface coefficients. The parametric equation uses polynomials of the parameters u and v.
Bezier surfaces are defined by a set of control points and basic functions of the parameters u and v. The surface passes through the boundary control points but not necessarily through all interior points. Properties include partition of unity and the surface lying within the convex hull of control points.
This document discusses algorithms for clipping circles and curves to a bounding region. It describes a fast circle clipping algorithm that uses an accept/reject test to determine whether points are inside or outside the clipping region. It also discusses a midpoint circle algorithm that uses incremental steps to scan convert circles. Finally, it explains that curved objects can be clipped by first testing if their bounding rectangles overlap the clipping region before solving nonlinear equations to find curve-window intersection points.
This document discusses two types of parametric surfaces: Hermite bi-cubic surfaces and Bezier surfaces.
For Hermite bi-cubic surfaces, it describes that they connect four corner data points and eight tangent vectors at the corners, requiring 16 vectors (48 scalars) to determine the coefficients. The parametric equation uses polynomials and parameters u and v between 0 and 1.
For Bezier surfaces, it explains they are defined by a network of control points and basic polynomial functions of the parameters u and v. Key properties include passing through the first and last control points, convex hull containment, and affine invariance when transformations are applied to the control points.
3.3 a writing systems of linear inequalitiesfthrower
The document discusses how to graph and write systems of linear inequalities. It explains how to graph systems by determining whether lines should be dotted or solid based on the inequality symbols, and whether shading should be above or below lines based on 'y >' or 'y <'. It also explains how to write the system of inequalities given a graph by writing equations for each line and changing the equations to inequalities based on whether lines are dotted or solid and whether shading is above or below lines. Examples of these processes are provided.
This document discusses different types of surface entities used in CAD/CAM systems. It describes analytic surface entities like planes, ruled surfaces, surfaces of revolution, and tabulated cylinders. It also covers synthetic surface entities, including bicubic Hermite spline surfaces, B-spline surfaces, rectangular and triangular Bezier patches, rectangular and triangular Coons patches, and Gordon surfaces. Plane surfaces are defined by three points, ruled surfaces interpolate between two boundary curves, and surfaces of revolution rotate a curve around an axis. Bezier and B-spline surfaces can approximate input data without passing through all points.
BFS uses a queue to perform a traversal of a graph, visiting all adjacent unvisited vertices of the vertex at the front of the queue and adding them to the queue. This produces a spanning tree without loops as the final result, where each vertex in the graph can be reached from the starting vertex without cycles. The queue, which has a maximum size of the total number of vertices, ensures a breadth-first search where all vertices at each level are explored before moving to the next level out.
The document discusses four main types of dimensioning systems: 1) Chain dimensioning where dimensions are placed directly adjacent without gaps, 2) Parallel dimensioning where dimensions are measured from a common feature and shown parallel, 3) Superimposed dimensioning which simplifies parallel dimensions by using a small circle to indicate the common origin, and 4) Combined dimensioning which is a combination of parallel and other dimensioning types where dimensions are arranged in a straight line.
Curve clipping involves using polygon clipping to test if a curved object's bounding rectangle overlaps a clipping window. If there is no overlap, the object is discarded. If there is overlap, the simultaneous curve and boundary equations are solved to find intersection points. Special cases like circles are considered, such as discarding a circle if its center is outside the clipping window plus/minus the radius. Bezier and spline curves can also be clipped by approximating them as polylines or using their convex hull properties.
A frequently used class of objects are the quadric surfaces, which are described with second-degree equations (quadratics). They include spheres, ellipsoids, tori, paraboloids, and hyperboloids.
Quadric surfaces, particularly spheres and ellipsoids, are common elements of graphics scenes
This document contains a list of common bathroom items including bathing supplies like soap, shampoo and towels; grooming items such as razors, shaving cream and toothbrushes; as well as fixtures and appliances commonly found in bathrooms such as sinks, toilets and showers.
This document provides an introduction and overview of fractals. It begins by defining fractals as rough or fragmented geometric shapes that are self-similar and scale-independent. The first fractals were discovered by Gaston Julia in the early 20th century, and the term "fractal" was coined by Benoit Mandelbrot in 1975. Key properties of fractals are described, including self-similarity across scales, formation through iteration, and fractional dimension. Examples like the Koch snowflake and Sierpinski triangle are shown and their fractal dimensions are calculated. Real-world examples of fractals in nature and animation movies are also briefly mentioned.
Slope is a measure of steepness that represents the rate of change between two points on a line. It is commonly represented by the letter m. The formula for calculating slope given two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1). Slope can be found from an equation by rewriting it in slope-intercept (y = mx + b) or standard (Ax + By = C) form and calculating m as -A/B. Slope can also be determined graphically by calculating the rise over run between two points.
The Cohen-Sutherland algorithm divides the plane into 9 regions and uses 4-bit codes to encode whether each endpoint of a line segment is left, right, above, or below the clipping window. It then uses the endpoint codes to either trivially accept or reject the line segment, or perform clipping by calculating the intersection point of the line with the window boundary and replacing the outside endpoint. The main steps are to assign codes to endpoints, AND the codes to check for trivial acceptance or rejection, clip by replacing outside endpoints if needed, and repeating for other line segments.
This document discusses slope, y-intercept, and how to find and graph linear equations. It defines slope as the ratio that describes a line's tilt and explains how to calculate slope using rise over run between two points on a line. It also discusses how to find the y-intercept, and then use slope and y-intercept to write the equation of a line in y=mx+b form. Examples are provided for finding slope from tables of values and graphing linear equations on a coordinate plane.
1) The document describes how to construct a tri-hexa-flexagon, which is a paper model that can reveal 6 unique patterns.
2) It provides detailed instructions on cutting and folding a template to create the flexagon, including diagrams to illustrate each step.
3) Flexagons can help students visualize geometric figures and discover their characteristics in a hands-on way. They can also be used to conceal and reveal hidden messages or designs.
Bezier surfaces are parametric surfaces used in computer graphics and CAD/CAM. They are based on Bernstein polynomials and control points. A Bezier surface is defined by a grid of control points that determine the shape of the surface. Changing control points modifies the shape globally. B-spline surfaces allow for more local control and ensure continuity between patches. Coons patches interpolate between four boundary curves to generate a smooth surface. Sculptured surfaces are used for complex, free-form shapes and consist of blended parametric surface patches.
This document discusses synthetic curves used in mechanical CAD. Synthetic curves are needed to model complex curved shapes and allow manipulation by changing control point positions. There are three main types of synthetic curves: Hermite cubic splines, Bezier curves, and B-spline curves. Bezier curves use control points to influence the curve path without requiring the curve to pass through the points. The curve is defined by a polynomial equation involving blending functions. Bezier curves have tangent lines at the start and end points and maintain tangency when control points are moved.
Slope is a measure used to describe the steepness of a line and can be positive, negative, or zero. It is calculated by taking the rise over the run between two points (x1, y1) and (x2, y2) using the formula m = (y2 - y1) / (x2 - x1). The letter m is used to represent slope. Examples are provided to demonstrate calculating slope between two points and to show what a slope of zero or undefined slope would mean.
This document describes experiments conducted to evaluate color conformance of an offset printing process according to ISO 12647-2. It involves preparing test forms, qualifying inks and paper, and printing using linear and curved plates. Results for color, tone value and gray balance reproduction are analyzed. Conformance is improved when using curved plates which better reproduce tone value curves through adjustments made during printing. The experiments provide insight into implementing tone value control methods to achieve color standards compliance in offset printing.
This document discusses different types of surface modelling techniques. Parametric surfaces and implicit surfaces are the two main types used in modelling systems. Parametric surfaces are defined by a set of coordinate functions, while implicit surfaces are defined by a polynomial equation. Common parametric surfaces include planes, ruled surfaces, surfaces of revolution, and B-splines. Multiple parametric surface patches can be joined to model more complex shapes. Surface modelling allows representing complex object geometries and is useful for mass properties calculation, interference detection, and finite element analysis.
This document discusses different types of surface models used in computer graphics, including:
- Plane, ruled, surface of revolution, tabulated, bilinear, Coons patch, and bicubic surfaces. Plane and ruled surfaces are linear, while surfaces of revolution and tabulated surfaces are axisymmetric. Bilinear surfaces are generated by interpolating 4 endpoints and are useful for finite element analysis. Coons patches interpolate 4 edge curves. Bicubic surfaces use parametric curves and interpolation of control points to define smooth surfaces.
This document discusses two common parametric surface representations: Hermite bi-cubic surfaces and Bezier surfaces.
Hermite bi-cubic surfaces connect four corner points and eight tangent vectors at the corners, requiring 16 vectors (48 scalars) to determine the surface coefficients. The parametric equation uses polynomials of the parameters u and v.
Bezier surfaces are defined by a set of control points and basic functions of the parameters u and v. The surface passes through the boundary control points but not necessarily through all interior points. Properties include partition of unity and the surface lying within the convex hull of control points.
This document discusses algorithms for clipping circles and curves to a bounding region. It describes a fast circle clipping algorithm that uses an accept/reject test to determine whether points are inside or outside the clipping region. It also discusses a midpoint circle algorithm that uses incremental steps to scan convert circles. Finally, it explains that curved objects can be clipped by first testing if their bounding rectangles overlap the clipping region before solving nonlinear equations to find curve-window intersection points.
This document discusses two types of parametric surfaces: Hermite bi-cubic surfaces and Bezier surfaces.
For Hermite bi-cubic surfaces, it describes that they connect four corner data points and eight tangent vectors at the corners, requiring 16 vectors (48 scalars) to determine the coefficients. The parametric equation uses polynomials and parameters u and v between 0 and 1.
For Bezier surfaces, it explains they are defined by a network of control points and basic polynomial functions of the parameters u and v. Key properties include passing through the first and last control points, convex hull containment, and affine invariance when transformations are applied to the control points.
3.3 a writing systems of linear inequalitiesfthrower
The document discusses how to graph and write systems of linear inequalities. It explains how to graph systems by determining whether lines should be dotted or solid based on the inequality symbols, and whether shading should be above or below lines based on 'y >' or 'y <'. It also explains how to write the system of inequalities given a graph by writing equations for each line and changing the equations to inequalities based on whether lines are dotted or solid and whether shading is above or below lines. Examples of these processes are provided.
This document discusses different types of surface entities used in CAD/CAM systems. It describes analytic surface entities like planes, ruled surfaces, surfaces of revolution, and tabulated cylinders. It also covers synthetic surface entities, including bicubic Hermite spline surfaces, B-spline surfaces, rectangular and triangular Bezier patches, rectangular and triangular Coons patches, and Gordon surfaces. Plane surfaces are defined by three points, ruled surfaces interpolate between two boundary curves, and surfaces of revolution rotate a curve around an axis. Bezier and B-spline surfaces can approximate input data without passing through all points.
BFS uses a queue to perform a traversal of a graph, visiting all adjacent unvisited vertices of the vertex at the front of the queue and adding them to the queue. This produces a spanning tree without loops as the final result, where each vertex in the graph can be reached from the starting vertex without cycles. The queue, which has a maximum size of the total number of vertices, ensures a breadth-first search where all vertices at each level are explored before moving to the next level out.
The document discusses four main types of dimensioning systems: 1) Chain dimensioning where dimensions are placed directly adjacent without gaps, 2) Parallel dimensioning where dimensions are measured from a common feature and shown parallel, 3) Superimposed dimensioning which simplifies parallel dimensions by using a small circle to indicate the common origin, and 4) Combined dimensioning which is a combination of parallel and other dimensioning types where dimensions are arranged in a straight line.
Curve clipping involves using polygon clipping to test if a curved object's bounding rectangle overlaps a clipping window. If there is no overlap, the object is discarded. If there is overlap, the simultaneous curve and boundary equations are solved to find intersection points. Special cases like circles are considered, such as discarding a circle if its center is outside the clipping window plus/minus the radius. Bezier and spline curves can also be clipped by approximating them as polylines or using their convex hull properties.
A frequently used class of objects are the quadric surfaces, which are described with second-degree equations (quadratics). They include spheres, ellipsoids, tori, paraboloids, and hyperboloids.
Quadric surfaces, particularly spheres and ellipsoids, are common elements of graphics scenes
This document contains a list of common bathroom items including bathing supplies like soap, shampoo and towels; grooming items such as razors, shaving cream and toothbrushes; as well as fixtures and appliances commonly found in bathrooms such as sinks, toilets and showers.
This document lists various bathroom items including bathing supplies like a bath, shower, and sink; hygiene products such as a hair dryer, razor, shaving cream, toothpaste, and toothbrush; cleaning items like a comb, brush, soap, and laundry basket; as well as furniture including a towel rack and scales.
This document contains 237 English proverbs. It was edited by Atiqa Ijaz Khan and contains short, commonly used sayings and phrases that offer advice or describe common experiences. Many of the proverbs convey messages about human behavior and nature, relationships, work, and life experiences through brief, often metaphorical sayings.
The document discusses attributes in GIS, which are non-spatial data associated with geographic features that define how they are displayed and labeled. It provides examples of attribute types for vectors like names and populations, and for rasters like rainfall and temperature. It then describes common attribute data types like numbers, text, dates, and geometry, and how they are structured and stored in GIS software.
This document is an assignment submission that discusses and compares various image processing commands and edge detection techniques in MATLAB. It provides examples and descriptions of the 'imshow', 'geoshow', and 'mapshow' commands for displaying images and their differences. It also examines the 'edge' command for edge detection and compares the Sobel, Prewitt, Roberts, Laplacian of Gaussian, and Canny edge detection methods. Finally, it defines what a world file is, its structure and extensions, and how to read and write world files in MATLAB using the 'worldfileread' and 'worldfilewrite' commands.
This document contains an assignment submitted by Atiqa Ijaz Khan to Sir. Imran Ali at the Institute of Geology, University of the Punjab on March 15, 2014. The assignment contains 7 questions related to a Matlab assignment, but the questions themselves are not included.
The six main characters of Friends are Rachel, Monica, Phoebe, Joey, Chandler, and Ross. They are all friends living in Manhattan. Rachel moves in with Monica after ending an engagement. Throughout the series, Rachel and Ross have an on-again, off-again romantic relationship. Monica is known as the motherly friend and works as a chef, later marrying Chandler. Phoebe works as a masseuse and musician and marries Mike Hannigan. Ross struggles in his relationships and marriages but ends up with Rachel by the end of the series. Joey is a struggling actor who becomes famous on a soap opera and is a womanizer. Chandler works in statistics but later becomes a copywriter, marrying Monica.
I’m a believer - Smash Mouth - English with songs - ESLAnna Breslavskaya
The document contains lyrics from the song "I'm a Believer" by Smash Mouth. The lyrics tell a story of love and how the singer used to think love was only true in fairytales but not for him, and that love was out to get him. However, after seeing her face, he became a believer - with not a trace of doubt in his mind and being completely in love, he couldn't leave her even if he tried. The document also contains repeated phrases and lines from the chorus of the song.
This document outlines the scheme of studies and aims and objectives for the Higher Secondary School Certificate (HSSC) in Pakistan. It provides details on the compulsory and optional subject groups students can choose from for the science, humanities, commerce, and medical technology streams. The compulsory subjects include English, Urdu, Islamic Education/Civics, and Pakistan Studies. For the science group, students select one of three pre-medical, pre-engineering, or general science subject combinations. The humanities group allows selecting three subjects from various language, social science, and computer science options. The commerce group outlines the accounting, economics, and business related subjects over two years. Finally, the medical technology group lists various paramed
Rachel Green es el personaje principal femenino de la serie Friends. Nacida el 5 de mayo de 1969, trabaja como camarera en el Central Perk antes de perseguir una carrera en moda. Tiene una hija llamada Emma con su ex novio Ross Geller. A lo largo de la serie su personalidad se vuelve menos egocéntrica a medida que madura.
The sitcom revolves around a group of friends living in Manhattan who occasionally share living expenses. It was created by David Crane and Marta Kauffman. The main characters are Rachel, a fashion enthusiast and Monica's best friend; Monica, a chef who marries Chandler; Phoebe, a formerly homeless woman known for being ditzy; Joey, an actor who loves food and women; Chandler, who likes jokes but gets teased for his gay father; and Ross, Monica's brother who has had feelings for Rachel since high school.
The document provides an overview of the 5th grade music curriculum in the PCSD school district. It discusses the objectives, values, advocacy, instruction time, and highlights of the curriculum standards, strategies used, and links to core subjects. The curriculum aims to give students opportunities to create, perform and value music while preparing them for secondary music programs through developing the voice, playing instruments, creating music, and listening/analyzing music.
The document describes various bathroom items and their uses, including a boy taking a bubble bath, a man showering, a bathroom sink with running water, soap for washing hands, a plunger for unclogging drains, a faucet with hot and cold water, a mirror above the sink, a toilet with the lid up, toilet paper, a towel on a rack, toothbrushing supplies, dental floss, a wastebasket, a hair dryer, curling iron, makeup and mirror, and a scale displaying a man's weight.
What are you waiting for? Doesn't EVERYONE have at least one problem area on their body? Well, you don't have to wait anymore. With just 1 wrap and 45 minutes you can achieve results similar to the real life pictures posted here. These are NOT doctored pictures- they're the real deal!
In addition, for those of you who could you a little (or a lot) of extra money, this is a great business opportunity! Especially since it is relatively new to this area. Translation - ground floor ladies and gentlemen!!! So check it out and act soon. Who knows how fast this will catch on and there are only so many distributors needed in an area! ·
Blackmore's Night - Home again - English with songsAnna Breslavskaya
A task for an ESL lesson based on a beautiful song by Blackmore's night. Fits the topic of home city and home.
Students learn new vocabulary, do the gap-fill exercise, learn english proverbs about home and discuss what home means to them. It's also a chance to review Present and Past Perfect.
Someone like you - Adele - Study English with songs - ESL Anna Breslavskaya
A lesson plan based on a great Adele's song "Someone like you". Fits best the topic "Relatioships". Students describe a picture, think of love relatioships issues, do the gap-fill task while listening to the song, learn new expressions, and talk about the song's story.
Ka-ching Shania Twain - ESL- Learn English with SongsAnna Breslavskaya
The document provides vocabulary related to money and finances, including definitions of words like "greedy", "earn", "spend", "blow money", "be broke", "get a loan", and "mortgage". It also includes a song filled with missing words related to desires for more money and things, shopping, credit cards, and living like a king. The document encourages discussion of the song's message and topics around personal spending habits, credit use, saving vs. spending tendencies, thoughts on rich vs. poor happiness, and the effects of money.
This document provides an overview of topics related to engineering graphics and geometric constructions including:
1. Engineering curves such as involutes, cycloids, trochoids, spirals, and helices.
2. Loci of points including definitions, basic locus cases, and problems involving oscillating and rotating links.
3. Orthographic projections including basics, types of drawings and views, planes of projection, and methods.
4. Converting pictorial views to orthographic views using first and third angle methods with illustrations.
5. Projecting points, lines, planes, and solids including their definitions, notations, procedures, examples, and problem sets.
6. Sections
This document contains a table of contents for an engineering drawing course covering topics such as scales, engineering curves, orthographic projections, sections and developments, intersections of surfaces, and isometric projections. It includes definitions, methods, examples and practice problems for each topic. The objective stated is to use video effects to help visualize concepts in 3D and correctly solve problems through practice of drawing by hand with guidance from illustrations and notes provided throughout.
This document provides an overview of various topics related to engineering graphics including scales, engineering curves, loci of points, orthographic projections, projections of points/lines/planes/solids, sections and developments, intersections of surfaces, and isometric projections. It describes the key concepts, methods, and example problems for each topic. Plain scales, diagonal scales, vernier scales, and comparative scales are introduced for measuring distances with different levels of precision. Engineering curves like ellipses, parabolas, hyperbolas, involutes, and spirals are defined along with methods for drawing tangents and normals. Orthographic projections convert between pictorial and multi-view drawings. Projections determine how points, lines, planes and
This document contains information about various topics related to engineering graphics including scales, engineering curves, loci of points, orthographic projections, projections of points and lines, projections of planes, projections of solids, sections and development, intersection of surfaces, and isometric projections. It provides definitions, classifications, methods of construction, and example problems for each topic. The goal of the document is to help the reader visualize concepts in engineering graphics and provide practice problems to aid in learning and solving problems related to these topics.
This presentation is very useful for students who are just beginning their journey to learn Engineering graphics.
It has a very basic explanation with simple to complex example strategy
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Engineering graphics..
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Okay, let's solve this step-by-step:
1) Given: Actual area of plot = 1.28 hectares = 12800 sqm
Area shown on map = 8 sqcm
2) To calculate RF:
RF = Actual Dimension / Shown Dimension
RF = 12800 sqm / 8 sqcm
RF = 12800 / 8 = 1600
RF = 1/1600
3) Length of scale = RF x Maximum length to be measured
Maximum length = 100m
Length of scale = 1/1600 x 100m = 6.25cm = 6cm (approx.)
4) Draw a line 6cm long divided into 10 equal parts to read up to 10m
5)
Okay, let's solve this step-by-step:
1) Given: Actual area of plot = 1.28 hectares = 12800 sqm
Area shown on map = 8 sqcm
2) To calculate RF:
RF = Actual Dimension / Shown Dimension
RF = 12800 sqm / 8 sqcm
RF = 12800 / 8 = 1600
RF = 1/1600
3) Length of scale = RF x Maximum length to be measured
Maximum length = 100m
Length of scale = 1/1600 x 100m = 6.25cm = 6cm (approx.)
4) Draw a line 6cm long divided into 10 equal parts to read up to 10m
5)
Okay, let's solve this step-by-step:
1) Given: Actual area of plot = 1.28 hectares = 12800 sqm
Map area = 8 sqcm
2) To calculate RF:
RF = Map Area / Actual Area
= 8 sqcm / 12800 sqm
= 8 / 12800
= 1/1600
3) Length of scale = RF x Maximum length
= 1/1600 x 100m (let's take max length as 100m)
= 100/1600 cm = 6.25 cm
4) Draw a line 6.25 cm long and divide it into 10 equal parts to read up to 1 decimal place.
5) Draw a perpendicular line
This document contains information about various topics related to engineering drawing including scales, curves, orthographic projections, sections, developments, and intersections of surfaces. It provides definitions, classifications, methods of construction, and example problems for each topic. The objective of the document is to help the observer visualize engineering drawings and concepts through illustrations and examples so they can correctly solve related problems on their own. It emphasizes the importance of practicing drawing techniques by hand with guidance from instructors to achieve success.
this is the ppt on engineering graphics,. ..
with all problem solution. .this is not made by me. .
but i think this is the best ppt for engineering graphics.. .the whole engineering graphics is cover in this ppt
Engineering graphics Sheet for BE StudentsJimit Rupani
This document provides an overview of topics related to engineering graphics and projections. It includes sections on scales, engineering curves, loci of points, orthographic projections, projections of points and lines, projections of planes, projections of solids, sections and development, intersection of surfaces, and isometric projections. Each section provides definitions, methods, and example problems related to the specific topic. The objective is to use illustrations and examples to help the reader visualize concepts and reach correct solutions through practice of the techniques.
Two Dimensional Shape and Texture Quantification - Medical Image ProcessingChamod Mune
1. The document discusses various methods for quantifying two-dimensional shapes and textures in medical images, including statistical moments, spatial moments, radial distance measures, chain codes, Fourier descriptors, thinning, and texture measures.
2. Compactness, calculated using perimeter and area, quantifies how close a shape is to a circle. Spatial moments provide quantitative measurements of point distributions and shapes. Radial distance measures analyze boundary curvature. Chain codes represent boundary points.
3. Fourier descriptors and thinning/skeletonization reduce shapes to descriptors and graphs for analysis. Texture is quantified using statistical moments, co-occurrence matrices, spectral measures, and fractal dimensions.
This document provides information on various topics related to engineering drawing, including scales, engineering curves, loci of points, orthographic projections, projections of points and lines, projections of planes, projections of solids, sections and development, intersection of surfaces, and isometric projections. It contains definitions, explanations, methods of construction, and example problems for each topic. The document aims to help readers visualize concepts in engineering drawing and provide practice through example problems to gain proficiency in applying techniques and reaching correct solutions. Interactive features like illustrations, notes, and tips are included throughout to aid understanding and learning.
This document provides an overview of topics related to engineering graphics and projections. It includes sections on scales, engineering curves, loci of points, orthographic projections, projections of points and lines, projections of planes, projections of solids, sections and development, intersection of surfaces, and isometric projections. Each section provides definitions and explanations of concepts, as well as example problems and solutions. The document serves as a comprehensive reference guide for learning different techniques in engineering graphics.
This document contains information about an engineering graphics course including:
1. The course details such as unit number, name, faculty information and contents.
2. An outline of the 14 topics covered in the course including scales, engineering curves, orthographic projections, intersections of surfaces and isometric projections.
3. Examples of scales including plain, diagonal, vernier and comparative scales and how to construct and use them to measure distances.
The document provides an overview of topics related to engineering graphics and orthographic projections. It contains 14 sections that cover various concepts such as scales, engineering curves, loci of points, orthographic projections, projections of points and lines, projections of planes and solids, sections and developments, intersections of surfaces, and isometric projections. For each section, it lists the subtopics that will be covered along with brief explanations and examples. The document serves as a table of contents or syllabus for an engineering graphics course, outlining the key concepts and methods that will be taught.
English Urdu Font in Windows 10 KeyboardAtiqa khan
This document shows the mapping of English letters to their Urdu equivalents both with and without using the shift key on a keyboard configured for the Urdu language in Windows 10. It provides a table with 26 rows listing each English letter and its corresponding Urdu letter representation both with and without using the shift key.
1) The document provides 8 solutions for frequent sleep screens on Windows 10 computers.
2) The solutions include adjusting power settings like sleep timeout values, updating Windows, performing a clean boot, and contacting Microsoft support.
3) Additional suggestions involve checking for updates, restoring power plan defaults, running troubleshooting tools, and disabling startup programs.
This document is a thesis check list that collects author information and details about the thesis such as the title, author, expected completion date, study area, academic discipline, and keywords. It also includes a dataset overview section to indicate whether the thesis includes vector layers, raster layers, imagery, digital elevation models, triangulated irregular networks, contours, or topographic sheets as well as details about them.
This document defines and distinguishes various types of human settlements including villages, towns, cities, metropolises, and megalopolises. It provides definitions for de jure and de facto cities. A town is larger than a village but smaller than a city, usually having 2,500-20,000 people. A city is a large permanent settlement with a high population and importance. Metropolitan areas are economic and cultural hubs within cities. When two or more metropolitan areas merge due to growth, they form a megalopolis. Urban areas are defined by buildings and infrastructure within city boundaries, while rural areas have lower populations and are less developed.
This document discusses various key differences between concepts in geography information systems (GIS) and remote sensing (RS). It defines important terms like latitude and longitude, isolines, digital elevation models, and coordinate systems. It also explains the differences between GIS data types like DEMs, DSMs, and DTMs as well as map projections like chorochromatic maps. Overall, the document provides a visual guide to understanding important conceptual differences between GIS and RS.
This document provides guidance on how to write an effective response letter to reviewers of a journal article. It discusses disagreeing politely with reviewers while providing evidence, organizing the response clearly by reviewer comment, and maintaining a positive tone. Sample response letters are included that thank the editor, address each comment, and confirm revisions have been made. The goal is to persuade the editor to reconsider or publish the article after revisions.
2017 How to write Author Biography for JournalAtiqa khan
The document provides guidelines for writing an author biography for a journal publication. It recommends including an author's name, qualifications, current position, research interests, and a short list of achievements. The biography should be written in the third person and be concise, typically no more than 50-200 words. Examples of short author biographies from various journals and publications are also provided.
The document provides information about undergraduate admissions to engineering programs at the National University of Sciences and Technology (NUST) in Pakistan. It details the paper pattern and marking scheme for the NUST entry test, required marks and potential programs for various score ranges. It also lists engineering and other programs offered at NUST institutions, eligibility criteria including required marks in previous qualifications, dates for the entry test series, and other admission requirements.
This document provides definitions for various mapping and surveying terms. It includes over 40 terms related to accuracy, datums, mapping projections, surveying instruments, map features, and more. Some key terms defined include accuracy, adjustment, azimuth, bathymetry, benchmark, boundary survey, cartography, contour, coordinate, culture, and datum.
This document defines and describes the major types of orbits used for satellites, including:
Low Earth orbit (LEO), polar orbits, and sun-synchronous orbits which are below 225 minutes in period. Geostationary orbit is a special case of geosynchronous orbit with zero inclination and eccentricity. Geosynchronous orbit matches Earth's sidereal day but can have inclination and eccentricity. Mid-Earth orbit is also called semi-synchronous. High-Earth orbit is above geosynchronous. Transfer orbits are used to change between orbit types and geosynchronous transfer orbit is used specifically for geosynchronous orbit.
2017 IST Undergraduates Admission Guide for FallAtiqa khan
The document provides information about undergraduate admissions to the Institute of Space Technology for the Fall 2017 semester. It outlines the admission schedule, department seats, entry test requirements, eligibility criteria for local and foreign students, selection process, scholarships, fee structure, and references for more information. The deadline for applications is June 25, 2017 and classes are scheduled to begin in September 2017.
This document provides instructions for creating a fillable PDF form from a Word document or existing PDF. It outlines converting the file to PDF, using the Adobe PDF form creation tool to make fields editable, adjusting field properties, and distributing the form for responses. Key steps include creating the form, editing fields, checking properties, previewing the form, saving it, and options for compiling and managing response data. An example thesis checklist document is provided to demonstrate the process.
GIS (Geographic Information Systems) allows users to collect, store, analyze and present spatial or geographic data. It can be used for applications like change detection over time, transport route planning, habitat mapping, flood risk assessment, site selection, and weed/pest management. GIS is used widely in sectors like government, retail, emergency response, utilities and more. It can be used on desktops, online/web-based platforms, and mobile devices. Both commercial software options and open source platforms are available to get started with GIS.
This document provides guidelines for using tenses in different sections of a research paper. It recommends using future tense for proposals, past tense for methodology and results, and either past or present tense for introductions and literature reviews depending on whether facts are still true. Present perfect can be used for unknown time frames. The conclusion and future work sections typically use present perfect or future tense. Past perfect is used for citing past work no longer true.
This document provides information about different types of orbits that Earth-observing satellites can have. It describes low Earth orbit, medium Earth orbit, and high Earth orbit, and gives examples of specific orbits within each category, such as polar orbits, sun-synchronous orbits, and Molniya orbits. It also discusses orbital characteristics like height, speed, eccentricity, and inclination that determine a satellite's path. Maintaining the proper orbit is important for satellites to collect desired data and observations of Earth.
This document provides templates and samples for submitting a thesis on CD, including:
1. Two CD envelope templates for printing student information on both sides of an A4 sheet.
2. A sample with tabular fields for including metadata about the thesis on the CD.
3. A template for printing student information directly on a regular CD.
4. A declaration statement for the student to sign verifying the work is their own and can be accessed electronically.
5. Logos of the University of the Punjab that can be included. The templates are intended as examples and following them is not compulsory for thesis submission.
ISO/IEC 27001, ISO/IEC 42001, and GDPR: Best Practices for Implementation and...PECB
Denis is a dynamic and results-driven Chief Information Officer (CIO) with a distinguished career spanning information systems analysis and technical project management. With a proven track record of spearheading the design and delivery of cutting-edge Information Management solutions, he has consistently elevated business operations, streamlined reporting functions, and maximized process efficiency.
Certified as an ISO/IEC 27001: Information Security Management Systems (ISMS) Lead Implementer, Data Protection Officer, and Cyber Risks Analyst, Denis brings a heightened focus on data security, privacy, and cyber resilience to every endeavor.
His expertise extends across a diverse spectrum of reporting, database, and web development applications, underpinned by an exceptional grasp of data storage and virtualization technologies. His proficiency in application testing, database administration, and data cleansing ensures seamless execution of complex projects.
What sets Denis apart is his comprehensive understanding of Business and Systems Analysis technologies, honed through involvement in all phases of the Software Development Lifecycle (SDLC). From meticulous requirements gathering to precise analysis, innovative design, rigorous development, thorough testing, and successful implementation, he has consistently delivered exceptional results.
Throughout his career, he has taken on multifaceted roles, from leading technical project management teams to owning solutions that drive operational excellence. His conscientious and proactive approach is unwavering, whether he is working independently or collaboratively within a team. His ability to connect with colleagues on a personal level underscores his commitment to fostering a harmonious and productive workplace environment.
Date: May 29, 2024
Tags: Information Security, ISO/IEC 27001, ISO/IEC 42001, Artificial Intelligence, GDPR
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Training: ISO/IEC 27001 Information Security Management System - EN | PECB
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Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.
A review of the growth of the Israel Genealogy Research Association Database Collection for the last 12 months. Our collection is now passed the 3 million mark and still growing. See which archives have contributed the most. See the different types of records we have, and which years have had records added. You can also see what we have for the future.
How to Build a Module in Odoo 17 Using the Scaffold MethodCeline George
Odoo provides an option for creating a module by using a single line command. By using this command the user can make a whole structure of a module. It is very easy for a beginner to make a module. There is no need to make each file manually. This slide will show how to create a module using the scaffold method.
LAND USE LAND COVER AND NDVI OF MIRZAPUR DISTRICT, UPRAHUL
This Dissertation explores the particular circumstances of Mirzapur, a region located in the
core of India. Mirzapur, with its varied terrains and abundant biodiversity, offers an optimal
environment for investigating the changes in vegetation cover dynamics. Our study utilizes
advanced technologies such as GIS (Geographic Information Systems) and Remote sensing to
analyze the transformations that have taken place over the course of a decade.
The complex relationship between human activities and the environment has been the focus
of extensive research and worry. As the global community grapples with swift urbanization,
population expansion, and economic progress, the effects on natural ecosystems are becoming
more evident. A crucial element of this impact is the alteration of vegetation cover, which plays a
significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
How to Fix the Import Error in the Odoo 17Celine George
An import error occurs when a program fails to import a module or library, disrupting its execution. In languages like Python, this issue arises when the specified module cannot be found or accessed, hindering the program's functionality. Resolving import errors is crucial for maintaining smooth software operation and uninterrupted development processes.
How to Manage Your Lost Opportunities in Odoo 17 CRMCeline George
Odoo 17 CRM allows us to track why we lose sales opportunities with "Lost Reasons." This helps analyze our sales process and identify areas for improvement. Here's how to configure lost reasons in Odoo 17 CRM
it describes the bony anatomy including the femoral head , acetabulum, labrum . also discusses the capsule , ligaments . muscle that act on the hip joint and the range of motion are outlined. factors affecting hip joint stability and weight transmission through the joint are summarized.
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.
2. Model a Canal using TIN in VRML Format
A canal can be modeled using following methods:
1. Create a new shape file of Polygon.
2. Edit it, with 2-3 polygons.
3. But of different dimensions.
4. Add a field of Z with Short Integer.
5. Enter a value of elevation, differently for each polygon.
6. Create TIN, using 3D Analyst Tool.
7. Open it in Arc Scene.
8. Export to scene 3D to VRML file format.
Arrangement_01:
3. Arrangement_02:
Attribute Table_01:
For elevation, add
1. “0” for small polygon, and
2. “50” for larger polygon.
Attribute Table_02:
For elevation, add
1. “0” for Polygon 1, and
2. “100” for Polygon 2.
5. Calculate the Elevation
The given figure is as follows:
Solution:
The elevation at point P(z), according to my understanding is:
P(z) = B + a(AB) + b(BC) …{in terms of Point}
P(z) = Z2 + a(Z2-Z1) + b(Z2-Z3) …{in terms of Elevation}
P(z) = Z2 + a(D-D4) + b(D2-D1) …{in terms of Distance}
Compare the coefficient of x,y,z values of P(z) to calculate its unknown value (z).
Where,
a,b are any two real numbers
D = D3 + D4
6. Break Lines
As the name implies they are linear features that are used to define and control the
behavior of them in terms of smoothness and discontinuity.
Difference between soft and hard break lines:
Serial
No.
Soft Break Lines Hard Break Lines
01. They are used to define the areas that
show no or less interruption in the
terrain.
They are used to define the areas
that show interruption in the
terrain.
02. They are generally not representing the
physical features.
They are generally representing the
physical features.
03. They are used to maintain the linear
features within the TIN
They are used to maintain the
boundary
04. They can have constant or varying z-
values
They have constant z-values
05. No sudden slope Used in sudden slope
06. Examples:
Political boundary, soil types etc
Examples:
Ridges, streams, shorelines etc
Soft Break Lines Hard Break Lines
LinLines
7. Delaunay Triangulation
The main points for this concept include:
1. This is used to create contiguous, non-overlapping triangles.
2. Avoid long and thin triangles by maximizing all the interior angles.
3. No vertex lies in the interior of any other triangle.
4. It is a proximal method.
5. Maximizes the smallest interior angle.
6. The circle must pass through all 3 vertices of triangle.
7. It is a set of points satisfying the condition of empty circle.
8. Outer polygon is always a convex hull.
8. 9. For those points that lie on the same line there is no Delaunay triangle.
10. Triangles are kept equi-angular as possible so to ease the calculations.