Surfaces
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The document discusses different types of surfaces that can be represented with polygonal meshes, including: 1) Discretely swept surfaces of revolution which are created by rotating a base polygon or profile around an axis. 2) Implicit and parametric representations of surfaces using functions of x, y, and z coordinates. 3) Ruled surfaces where every point lies on a straight line on the surface, such as cones, cylinders, and surfaces swept by a moving line. 4) Quadric surfaces which are 3D analogs of conic sections and have traces that are conic sections when cut by a plane.
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Projection of solidsProjection of solidsProjection of solids
1. The document discusses different types of solids and their classification into two groups - Group A solids having top and base of same shape, and Group B solids having base of some shape and just a point as a top.
2. It provides steps to solve problems involving solids, which involves assuming the solid standing on the plane it is inclined to, drawing the front and top views, and then considering additional inclinations to draw the final views.
3. Sample problems are given involving solids like cubes, pyramids, cylinders and cones in different orientations to the planes. Dimensional parameters, positions of solids, and techniques to determine hidden and visible lines are also described.
09transformation3d
This document discusses various 3D geometric transformations including translation, scaling, rotation, and coordinate transformations. It provides details on:
1) How translation, uniform scaling, and relative scaling transformations work in 3D space.
2) How rotations around the x, y, z axes as well as arbitrary axes are performed using transformation matrices.
3) How rotations can also be represented using quaternion algebra and how this relates to transformation matrices.
4) How objects can be transformed between different coordinate systems through sequences of translation, rotation, and scaling transformations.
transformation 3d
This document discusses various 3D geometric transformations including translation, scaling, rotation, and coordinate transformations. It provides details on:
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2) How rotations around the x, y, z axes as well as general 3D rotations around arbitrary axes are performed.
3) How quaternions can be used to represent rotations and how rotation matrices are derived from quaternions.
4) How reflections, shears, and different coordinate systems require coordinate transformations between systems.
CS 354 Graphics Math
- The lecture covered graphics math topics including homogeneous coordinates and projective transformations.
- Homework 2 was due and an in-class quiz was given. Details on Project 1 were announced.
- The final exam date was moved and last class will be a review session. Daily quiz solutions will be provided.
- Office hours and last lecture topics were reviewed to introduce the current lecture on further graphics math concepts.
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Two ill men shared a hospital room, one by the window and one confined to his bed. Each afternoon, the man by the window described the beautiful scenery outside to his roommate, who lived vicariously through the descriptions. After some time, the man by the window passed away, and the other man asked to move by the window. However, when he looked outside, he saw only a blank wall. The nurse informed him that the deceased man had been blind and could not see outside at all - he had simply been trying to encourage and broaden the perspective of his roommate.
My Presentation On Ajax
AJAX allows for updating portions of a web page without reloading the entire page. It uses a combination of technologies including HTML, CSS, XML, JavaScript, and the XMLHttpRequest object. This improves responsiveness by reducing unnecessary data transfer and allowing asynchronous data retrieval and updating of specific elements after page load. Some benefits are more desktop-like interfaces, reduced bandwidth usage, and improved productivity by eliminating full page reloads between user actions. Potential disadvantages include increased development complexity and debugging challenges.
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The document discusses exponential decay functions related to drug excretion from the bloodstream over time. It provides an example where an initial 300mg dosage of a drug is half excreted from the bloodstream every 4 hours. It asks the reader to determine the exponential function that models the drug amount A over time t measured in 4 hour increments, and uses that function to calculate the remaining drug amounts after specific time periods.
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This document discusses representing functions graphically and introduces the vertical line test. It focuses on graphical representation of functions and how the vertical line test is used to determine if a relation is a function or not by ensuring that each x-value has only one y-value.
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This document discusses quadratic and polynomial functions. It provides examples of quadratic functions, their graphical representations, intercepts, and the quadratic formula. It examines when the coefficient a is greater than or less than 0. Examples are given to demonstrate finding the intercepts and using the quadratic formula to solve quadratic equations. Exercises are included at the end to practice these concepts.
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This document discusses quadratic and polynomial functions. It provides examples of quadratic functions, their graphical representations, intercepts, and the quadratic formula. It examines when the coefficient a is greater than or less than 0. Examples are given to demonstrate finding the intercepts and using the quadratic formula to solve quadratic equations. Exercises are included at the end to practice these concepts.
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This document provides an overview of chapter 1 of a computer networks course. It introduces key topics that will be covered, including network hardware, network software, reference models (OSI and TCP/IP), example networks (Novell Netware, ARPANET, NSFNET, Internet), and example data communication services. It discusses concepts like layers, protocols, interfaces, services, and connection-oriented vs connectionless networks at a high level.
Network Layer
The network layer is responsible for routing packets from source to destination using a routing algorithm. The routing algorithm must deal with issues of correctness, stability, fairness, and optimality. The network layer also handles congestion when more packets enter an area than can be processed. When connecting different network technologies, the same problems are present but are worse as packets may travel through many different networks with different formats and technologies.
Control Structures
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Input And Output
The document discusses input and output functions in C programming. It describes getchar() and putchar() for character input/output, printf() and scanf() for formatted input/output, and gets() and puts() for string input/output. It provides examples of using these functions to read input from the keyboard and display output to the screen.
Vector Tools
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Drawing Figures
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Computer Graphics Introduction
This document summarizes the contents of Chapter 1 from the book "Computer Graphics Using OpenGL" by F. Hill. The chapter introduces computer graphics, describing where it is used in fields like art, entertainment and publishing. It outlines some basic elements of pictures created in CG like polylines, text, filled regions and raster images. It also discusses graphics display and input devices, covering line drawing, raster displays, color depth, video monitors, flat panel displays and hard-copy printers.
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