The document provides an overview of computer graphics systems and their components. It discusses:
1) The four major applications of computer graphics: display of information, design, simulation and animation, and user interfaces.
2) The basic components of a graphics system including input devices, CPU, GPU, memory, frame buffer, and output devices.
3) Key graphics concepts such as pixels, resolution, color depth, and rasterization.
4) Examples of input devices like keyboards, mice, and tablets and their logical representation in programs.
Comprehensive coverage of fundamentals of computer graphics.
3D Transformations
Reflections
3D Display methods
3D Object Representation
Polygon surfaces
Quadratic Surfaces
Computer Graphics and its applications, Elements of a Graphics, Graphics Systems: Video Display Devices, Raster Scan Systems, Random Scan Systems, Input devices.
: Introduction of Rendering, Raytracing, Antialiasing, Fractals
An illumination model, also called a lighting model and sometimes referred to as a shading model, is used to calculate the intensity of light that we should see at a given point on the surface of an object.
Comprehensive coverage of fundamentals of computer graphics.
3D Transformations
Reflections
3D Display methods
3D Object Representation
Polygon surfaces
Quadratic Surfaces
Computer Graphics and its applications, Elements of a Graphics, Graphics Systems: Video Display Devices, Raster Scan Systems, Random Scan Systems, Input devices.
: Introduction of Rendering, Raytracing, Antialiasing, Fractals
An illumination model, also called a lighting model and sometimes referred to as a shading model, is used to calculate the intensity of light that we should see at a given point on the surface of an object.
Cohen-Sutherland Line Clipping Algorithm:
When drawing a 2D line on screen, it might happen that one or both of the endpoints are outside the screen while a part of the line should still be visible. In that case, an efficient algorithm is needed to find two new endpoints that are on the edges on the screen, so that the part of the line that's visible can now be drawn. This way, all those points of the line outside the screen are clipped away and you don't need to waste any execution time on them.
A good clipping algorithm is the Cohen-Sutherland algorithm for this solution.
By,
Maruf Abdullah Rion
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
Cohen-Sutherland Line Clipping Algorithm:
When drawing a 2D line on screen, it might happen that one or both of the endpoints are outside the screen while a part of the line should still be visible. In that case, an efficient algorithm is needed to find two new endpoints that are on the edges on the screen, so that the part of the line that's visible can now be drawn. This way, all those points of the line outside the screen are clipped away and you don't need to waste any execution time on them.
A good clipping algorithm is the Cohen-Sutherland algorithm for this solution.
By,
Maruf Abdullah Rion
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
Notes 2D-Transformation Unit 2 Computer graphicsNANDINI SHARMA
Notes of 2D Transformation including Translation, Rotation, Scaling, Reflection, Shearing with solved problem.
Clipping algorithm like cohen-sutherland-hodgeman, midpoint-subdivision with solved problem.
Data modeling is a process used to define and analyze data requirements needed to support the business processes within the scope of corresponding information systems in organizations.
Introduction, graphics primitives :Pixel, resolution, aspect ratio, a frame buffer. Display devices, and applications of computer graphics.
Scan conversion - Line drawing algorithms: Digital Differential Analyzer (DDA), Bresenham’s Circle drawing algorithms: DDA, Bresenham’s, and Midpoint.
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This PPT gives detailed information about Computer Graphics, Raster Scan System, Random Scan System, CRT Display, Color CRT Monitors, Input and Output Devices
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2. Computer Graphics
Computer Graphics: Use of computer in generating
images.
Computer graphics: concerned with all aspects of
producing pictures or images using a computer.
3. Applications of Computer Graphics
Can be roughly divided into four major areas
Display of Information
Design
Simulation and Animation
User Interfaces
4. 1. Display of Information
Classic graphics techniques
used as a medium of
conveying information
Human written/spoken
language
Historical era:
Babylonians used to display
floor plans on stones
Greeks used to display their
architectural plans and language
Today graphical
representation are generated
by Architects, Designers using
computers.
5. Display of Information (Contd…)
Statisticians
Uses CG to display plots/graphs
of a data set
Extract information from these
plots
Very useful in extracting info from
large datasets.
Medical Imaging
Graphics used in Computed
Tomography (CT)
Medical Resonance Imaging
(MRI)
Ultrasound
Data Visualization
Understanding data by placing it
in visual context
6. 2. Design
Many fields concerned
with design. (Engineering
& Arch)
With set of specification, a
cost effective and esthetic
design is tried to achieve
using computer graphics.
Starting 40 years ago,
today Computer Aided
Design (CAD) pervades
many fields.
7. 3. Simulation and Animation
Simulation is the imitation of the
operation of a real-world process or
system over time.
Flight simulators - train pilots.
Safety and Cost reduction
Architectural designs are tested in many
weather conditions
Animation - illusion of motion
Became famous: After successful
simulations
Artistic effects are achieved.
Complete movies are made using CG
Photo-realistic images
Virtual Reality-replicates an
environment that simulates physical
presence in places in the real world or
imagined worlds and lets the user
interact in that world.
9. 4. User Interfaces
Interaction with computers
increased.
Desktops, Tablets, Smartphones.
Use of GUI has overcome CLI
Microsoft Windows, Mac OS, Linux
Android, iOS,
Internet usage increased
Webpages, applications all are
graphical
Resources are accessed through
graphical browsers.
Interaction with UI is so often, that
we have almost forgot that we’re
working with computer graphics.
10. A Graphics System
General view of a graphics system
Generally contains,
1. Input Devices
2. CPU
3. GPU (Graphics Processing Unit)
4. Memory
5. Frame Buffer
6. Output Devices
11. Pixels, Frame Buffer & Basic Terms
Pixel: Short for Picture element
The smallest addressable element of a
display device.
Basic unit of a digital image.
Each pixel corresponds to a location or
small area in the image.
Raster: Array of picture elements or
pixels
Images seen on displays are raters
produced by graphics sys.
A raster is a grid of x and y coordinates on
a display space.
12. Pixels, Frame Buffer & Basic Terms (Contd…)
Frame Buffer: portion of memory where pixels are
stored
Core element of graphics system.
Contains bitmap that is driven to video display
Resolution: No. of pixels in frame buffer
Resolution determines the details that can be seen in image
Higher the resolution Sharpen the image
Depth / Precision: No. of bits used per pixel to
determine its properties like color
1-bit-deep frame buffer allows only two colors
8-bit-deep frame buffer allows 28 (256) colors.
16-bit (High color) 216 Colors
24-bit (True color) 224 Colors
13. In Simple Sys: Frame Buffer only hold colored pixels that
are displayed
In most systems, The frame buffer holds far more
information,
depth information needed for creating images from 3D data.
In these systems, the frame buffer comprises multiple
buffers,
one or more of which are color buffers that hold the colored
pixels that are displayed.
Terms, frame buffer and color buffer can be used
synonymously.
Pixels, Frame Buffer & Basic Terms (Contd…)
14. CPU and GPU
In simple system there may be only one CPU
In early systems, frame buffer was the part of standard
memory
CPU is responsible for both Normal and Graphical
Processing
Main graphical processing of CPU is
Take graphical primitives from application program
Like (lines, polygons, circles)
Assign values to the pixels in frame buffer that best
represent those entities.
Rasterization: Conversion of geometrical entities to
pixel colors and locations in frame buffer. (a.k.a scan
15. CPU & GPU (Contd…)
Today, all graphics system are characterized by
special purpose graphics processing unit (GPU).
GPU: A processing unit custom-tailored to carry out
specific graphics functions
GPU can either be on the same system board or on
separate graphics card
Frame buffer usually resides on the same board as GPU
Frame buffer is accessed through GPU
16. Output Devices
Cathode Ray Tube (CRT)
Most dominant type of display (until, recently)
Basic Op: When electron strikes the phosphor coating,
light is emitted.
Deflection plates: to control the direction of the beam
Computer output is converted from digital(bits) to
analog(voltage) by converters across x and y deflection
plates.
When sufficiently intense beam of electrons is directed at
the phosphor, light appears on CRT surface
17. Output Devices (Contd…)
Refresh rate: No. of times per second the device
retrace the same path/image.
CRT emits light for short time (few milli seconds)
To see flickering-free image, same image must be retraced.
Old systems: Refresh rate = frequency of power system
50 Hz in US and 60 Hz in most of the world
Raster System (Fundamental ways of displaying
pixels)
Non-interlaced: Pixels are displayed row by row at refresh
rate
Interlaced Display: Odd and even rows are refreshed,
alternatively. 30 Hz instead of 60 Hz.
18. Output Devices (Contd…)
Colored CRTs
Phosphors of three different colors (Red,
Green, Blue)
Phosphors arranged in small groups.
Phosphors in triangular groups are called
triads
Have three electron beams.
Shadow Mask: a metal sheet with small
holes
Used to ensure the excitation of proper color
phosphor.
19. Output Devices (Contd…)
Flat-panel Technology.
Flat-panels are inherently raster based.
Mostly used flat panels are LCD, LED and Plasma
Generic flat-panel display have
2-outside plate: containing parallel
grids of wires, oriented
perpendicular to each other.
Middle plate contains different
material depending upon the
technology.
20. Output Devices (Contd…)
Flat-panel Display
By sending electrical signal to proper wire on both plates.
Electric field is produced at the point of intersection of two
wires
Electric field is used to control the corresponding element on
the middle plate.
Electric field produced can be used in,
LED, to turn corresponding led on or off
LCD, to control polarization of liquid crystals to pass light
Plasma, to energize gases in order to glow or not.
21. Input Devices
Input Devices: Devices used for input purposes.
Common input device Keyboard, mouse
Other input devices include joy stick, track ball, space ball
Input Devices (Perspective)
Physical Device
Logical Device (application / programmer perspective)
Their properties are specified in terms of “what they do” from
application perspective.
For example: cout in C++ outputs the string, the output device
could be printer, display/terminal or a disk file.
Even the “cout” output could be input for another program.
22. Input Devices (Physical)
Two primary types of Input Devices
Keyboard Devices
Pointing Devices
Keyboard generally include physical keyboards or
devices that return character codes.
ASCII code is used to represent characters.
ASCII assigns a single unsigned byte to each character.
Internet application use multiple bytes to represent each
char.
Mouse & Trackball:
A mechanical mouse and trackball works on same
principal.
Motion of the ball is converted to signals by converters.
23. Input Devices (Physical)
Signals from encoders might be interpreted as
position (Not necessarily)
Driver/Program can interpret the signals as two
velocities.
The Computer can integrate velocities to obtain
position.
When ball rotates position
changes, otherwise not.
In this mode, positioning is
relative.
Motion sensing devices are known as Relative
positioning devices
24. Input Devices (Physical)
Data Tablets:
Absolute positioning
Position is determined using electromagnetic
interactions between signals traveling through the
wires and sensors in the stylus
Position sensing devices are known as absolute
positioning devices
READING: Space ball and Joy stick
25. Input Devices (Logical)
Logical Input Devices:
Addressing of physical input devices as abstract data
types
ADT: data type defined by its behavior from user view
Two major characteristics describe logical
behavior of input device:
1. The measurements that the device returns to the
user program
2. The time when the device returns those
measurements.
26. Input Devices (Logical)
Logical Input Devices:
String: Return string of characters from Keyboard, File,
etc
Locator: Returns a position (in x, y coordinates)
Pick: Returns a segment name & pick identifier of object
pointed by the user.
Choice: Represents a choice from a selection of several
possibilities.
Valuator: Returns a real/analogue value, for example, to
control some sort of analogue device.
Stroke: series of locations. (Tablets/Touch inputs)
27. Input Modes
Input is provided in terms of two entities
Measure: The returned data from input devices.
Ex: Data stream from keyboard OR location of pointer from
mouse
Trigger: Physical input to signal the computer.
Ex: Pressing of Return (Enter) Key / Esc Key OR clicking the
mouse button.
Measure of device can be obtained in three (03)
distinct modes
Each mode is defined by: Relationship b/w measure &
trigger.
28. Request Mode – Input Modes
The measure of the device is not returned to the
program until the device is triggered.
Ex: cin / scanf in C++/C language. (Input Statements)
Program waits for trigger when input statement is
encountered.
Take as long as the user wants.
The measure is only returned upon trigger. (e.g upon
pressing enter/return)
29. Sample Mode (Input Modes)
Sample-Mode: Input is immediate. Measure is
returned as the function is encountered in App.
Position the device or Enter data before the function call.
Program retrieves “measure” immediately from the
buffer/file/location.
For example, your application can obtain the location
of the screen cursor at any point in time, through the
use of SAMPLE mode input.
30. Event Mode – Input Modes
Case: Multi input devices each with its own measure &
trigger.
For Example: Flight simulators with multiple inputs.
Event Mode:
Application Program & Devices work independently of each other.
Each time listed device is triggered: measure + id is stored in event
queue
App. Prog. Retrieves input from event queue whenever required.
Event Mode (Callback Approach):
Associate a function call (callback) with events specifically.
OS queries event queue and calls the associated function.
Efficient approach in client-server scenarios.
31. Images – Physically & Synthetic
Elements of Image Formation
Basic entities of Image Formation
Objects
Viewers
Light
32. Object(s)
The object exists in space independent of any
image-formation process and of any viewer.
Computer Graphics: deals with synthetic objects
Objects are formed by specifying positions of
geometric primitives(basic shapes) in space like
triangle, polygons etc
Mostly, set of spatial positions (vertices) are used to
define objects
For Ex: line can be defined by two vertices
Triangle can be defined by three vertices.
33. Viewer(s)
To form an image, there must be someone or
something that is viewing our objects. Like human, a
camera, etc.
It is the viewer that forms the image of our objects.
Human Visual System: Image is formed at back of eye
Camera: Image is formed in the film plane
Objects are usually seen from different perspectives.
34. Light
Be it physical or synthetic images are in complete
without light.
No light = dark objects = no image formation
Light is electromagnetic radiation.
Light Spectrum: Radio + Infrared + Visual spectrum
Visual spectrum: 350 – 780 nm
Around 520 nm: Green
Near 450 nm: Blue
Near 650 nm: Red
Except from recognizing that which frequency
is for which color CG doesn’t deal with light
36. Imaging Systems
Physical imaging systems to understand imaging in
computers.
Pin-hole Camera
Human Visual System
Pin-hole: To understand basic working principles of
camera.
Human visual system is complex but obeys the
physical principles of other imaging systems
37. Pin-hole Camera
A pinhole camera is a box with a small hole in the
center of one side of the box
film is on the side opposite the pinhole.
Hole is so small that only a single ray of light can
enter (assumption)
For Example: We have point in scene (x, y, z)
At Image: z = -d
y = yp
x = xp (In top view)
(xp, yp, -d) is called
projection of (x,y,z)
38. Pin-hole Camera
Color: In idealized mode, color of the image will be
same as in scene
Field/Angle of View: is the extent of the observable
world that is seen at any given moment.
If h is the height of camera (film) then
Angle is formulated using basic
Trigonometry.
39. Pin-hole Camera
Depth of Field: Every object in angle of view is in
focus i.e appears sharply.
In Ideal pinhole camera depth of field is infinite.
(Assumed)
Disadvantages of Pinhole camera
It admits only single ray – almost no light.
Camera cannot be adjusted to have different angle of
view.
By replacing hole with lens; problems can be
eliminated
With proper lens more light can be entered (larger
aperture)
40. Human Visual System
Human Visual System is extremely complex.
Light enters through cornea and lens
Iris opens/shuts to adjust the amount of light
Image is formed at retina (back of the eye)
Cells (Rods and Cones) are sensors
They excites/responds when light enters eye (350-780
nm)
Rods: 1 type; Low light sensors; Night vision, not color
sensitive
Cones: 3 types; responsible for color vision
Resolution of Visual System
Resolution: Measure of what size objects can we see.
Technically: it is a measure of how close we can place
41. Human Visual System
Brightness: Brightness is an overall measure of how
we react to the intensity of light
HVS reacts differently to different wavelengths of light
HVS is more sensitive to green and less sensitive to red &
blue
HVS only reacts to three colors instead of whole
visual spectrum due to three types of cones.
These colors are called primary colors.
Primary colors are Red, Blue and Green.
42. Synthetic Camera Model
The paradigm of emulating image formation by
optical system in computer is known as Synthetic
Camera Model
Basic Principles:
As Object & Viewer are independent of each, so CG (API)
should have separate functions for specifications.
Images can be computed using simple geometric
calculation like in pin hole camera.
43. Synthetic Camera Model
In pin hole camera image formed is
flipped.
In computer, image is retain; by
moving the plane to front (Virtual
image plane)
A line is drawn called projector from
center of lens/projection (COP) to
the object/point.
All the light originates from COP
This virtual image plane is called
projection plane
44. Synthetic Camera Model
There is always limitation to the size of the image. In optical
system; field of view expresses the limitation
Synthetic Camera Model places a Window/Rectangle in
projection plane to cope with the limitation.
This window / rectangle through which a viewer at COP sees the
world called Clipping window/rectangle
Given the following
Location of COP
Orientation of Projection plane
Size of clipping window
We can determine that which
objects will appear in image
45. Programmer’s Interface
User interact with graphics system in different ways
like using CAD modules, paint programs etc.
Programmers interact with GS using graphics library
(API)
Graphics API: Interface b/w programmer and Graphics
system specified through set of functions.
Programmers don’t see h/w related details.
Software Drivers interpret the output of API to the
form that is understood by the specific hardware.
46. Three Dimensional API
As per synthetic camera model, 3D API must provide
functions to specify,
Objects
Viewer
Light Sources
Material properties.
Objects are specified using vertices.
Objects are usually specified using geometric
primitives like lines, polygons, triangles etc
Complex objects may involve multiple ways of
specification.
47. Three Dimensional API
Camera can be defined in variety of ways.
APIs differ in camera selection and methods
Four types of specification for Camera
Position: Camera location (COP)
Orientation: Rotation of camera in axes.
Focal length: Size of the image/ Angle of view
Film plane: height & width
Specifications can be satisfied in various ways
Most used way is coordinate system transformation
Transformations convert object positions
represented in coordinate system.
48. Three Dimensional API
Light Sources
Light sources are specified by their
location, strength, color and direction
These properties are specified for each light sources
used.
Material Properties:
Characteristics or attributes of the objects
These attributes are specified when the objects are
defined
Both light and material properties depend upon the
light-material model API supports.
49. The Modeling–Rendering Paradigm
Model: Mathematical/Geometrical description of
shapes
Rendering: Process of generating images from
models
Modeling can be separated from Rendering.
Helpful in generating complex images.
The file/data produced by the modeler is used by the
Renderer.
This File could be simple; containing info in specific
format
50. The Modeling–Rendering Paradigm
Different hardware and software at both blocks.
Modeler, as well as Rendered are both
customizable
Use diff: modeler with same renderer
Use same modeler with diff: renderer
Most popular approach now a days.
Models, lights, camera etc are place in special data
structure called scene graph
Scene graph is then passed to renderer or game
engine.
51. Graphics Architectures
Early graphics system: general-purpose computer of
von Neumann architecture
Single processor system (Single instruction
Execution)
Calligraphic CRT display
Generate a line segment by connecting two points.
Host used to Run app & compute end points and
send them to CRT
Info needs to be sent at high speed (to avoid flicker)
Refreshing was slow that even small image
would burden expensive computer.
52. Display Processors
Earliest special purpose graphics system
To separate the process of continuous display of
refreshing
Display processor included instruction to display
CRT primitives
Host generate image (Using instructions)
Send to Display processor
Display processor store program in memory
(as display file / display list)
Display processor runs
program iteratively
54. Graphics Pipeline
Sets of Object Objects (Set of primitives)
vertices
Complex objects may contain millions of vertices
To make process of imaging fast we use pipeline
Graphical pipeline consists of
Vertex Processing
Clipping and Primitive Assembly
Rasterization
Fragment Processing
55. 1. Vertex Processing
Two major functions of this block
Coordinate transformation
Compute color of each vertex
56. Clipping and Primitive Assembly
Vertices are assembled into primitives (shapes)
No camera can see the whole world
Clipping must be done.
Clipping window/volume is considered
Clipping is done primitive by primitive.
Output: set of primitives which will appear in clipping
image.