computer graphics introduction · text books •foley, van dam, feiner and hughes, computer...
TRANSCRIPT
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Computer Graphics
Introduction
Taku Komura
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What’s this course all about?
Lecture 1
We will cover…
Graphics programming and algorithms Graphics data structures Applied geometry, modeling and rendering Not covering : how to use software like Maya, 3D Studio Max, etc.
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Other important thing:
• You need to know about math
• We will use basic linear algebra
– Dot product, cross product, matrix calculations
– Basic calculus, solving linear systems
• Please don’t take the course if you don’t like
math
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Outline for Today • Classic streams of computer graphics
• Application areas of computer graphics
• Overview of the course • Topics in the graphics pipeline • Other topics
• Some terms
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Classic streams of computer graphics
• 2D/3D modeling (aircraft, car manufacturing)
• Interactive applications (computer games, design)
• Realistic rendering (Lots of work at University of Utah)
• Computer art (many people)
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2D / 3D modeling
• Designing curved surfaces was important for car
and aircraft manufacturers in the old days
• Such modeling requires a lot of mathematics
• Lots of mathematicians join the graphics research
community nowadays too
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Interactive applications
• Sketchpad (1958, Ivan Sutherland)
• Head mount display (1968, Ivan
Sutherland)
• Tennis game (1958), Space war (1962)
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Realistic Rendering
(University of Utah) Gouraud shading (Gouraud, 1971)
Phong shading (Phong, 1975)
Phong illumination model (Phong 1973)
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Realistic Rendering
(University of Utah)
• Bump mapping (1978)
– Jim Blinn
• Subdivision surface
(Catmull, Clark 1978)
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Computer Art (1967-)
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The Application Areas of Computer Graphics
? ? ? ? ? ?
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The Application Areas of Computer Graphics
Computer Animation Computer Games Virtual Reality Computer Aided Design Scientific Visualization Human Computer Interactions
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Computer Graphics is about animation (films)
Lecture 1
Major driving force now
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What are the Challenges? • Realistic Lighting and Reflections:
• Need to make the lighting condition appear like real
• Need to make objects reflect the light realistically
• Physical simulations: • Fluids (liquid, fire), rigid bodies
• Realistic movements of the faces, bodies, etc. • Need to make the imaginary characters
appear as if they are really in the environment
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Realistic Lighting and Reflections:
• Need to make the lighting condition appear
like real • Need to make objects reflect the light
realistically (modeling the reflection model)
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Physical Simulation
• Fluids (liquid, fire), deformable objects (cloth) rigid bodies
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Games are very important in Computer Graphics
Lecture 1
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What are the Challenges? • Everything altogether must run in real-time (30 frames per second) • Rendering (drawing the scene) • character control (player characters + non player
characters) • Physical simulation (object collision, deformations) • user input
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User Input • Recognizing the action from the sensor
data, selecting the appropriate action to launch
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Character Control
• Controlling the NPCs intelligently • For the PC, launching an action that
satisfies the user requirement
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Virtual Reality, Medical Imaging is another driving force
Lecture 1
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Computer Aided Design, 3D modelling
Lecture 1
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3D modelling
Modelling a cup by Maya http://vimeo.com/5423236
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Scientific Visualisation
Lecture 1
To view below and above our visual range
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What are the challenges?
• Converting the numbers into something that easy to understand
• Making use of human's visual perception
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Volume rendering
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Human Computer Interactions
• Sketch-based interfaces • Story telling, puppetry • Design
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Overview of the Course
• Graphics Pipeline (Today) o Object representatioins o 3D transformations o (Local lighting effects) Illumination, lighting,
shading, mirroring, shadowing o Hidden surface removal o Rasterization o Ray tracing
• Global illumination • Curves and Surfaces
Lecture 1
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Graphics Pipeline
• Graphics processes generally execute sequentially
• Pipelining the process means dividing it into stages
• Especially when rendering in real-time, different hardware resources are assigned for each stage
19/09/11 Lecture 1
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Graphics Pipeline
• There are three stages o Application Stage o Geometry Stage o Rasterization Stage
Lecture 1
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Application stage • Entirely done in software by the CPU • Load Data
o the world geometry database, o User’s input by mice, trackballs, trackers, or
sensing gloves
• In response to the user’s input, the application stage change the view or scene
19/09/11 Lecture 1
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Geometry Stage
• Applying transformations to the object vertices (scaling, rotating, translating)
• View transformation (viewing from the camera)
• Illumination and shading (for Gouraud shading)
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Rasterization Stage
• Converting the continuous representation (curves
and lines) into the discrete representation (pixels)
• Anti-aliasing
• Texture mapping
• Bump mapping
• Illumination and shading (for Phong shading)
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An example thro’ the pipeline…
Lecture 1
The scene we are trying to represent:
Images courtesy of Picture Inc.
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Preparing Shape Models (Lecture 2)
Lecture 1
Designed by polygons, parametric curves/surfaces, implicit surfaces and etc.
Defined in its own coordinate system
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Model Transformation (Lecture 3)
19/09/11 Lecture 1
• Objects put into the scene by applying translation, scaling and rotation
• Linear transformation called homogeneous transformation is used
• The location of all the vertices are updated by this transformation
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Perspective Projection (Lecture 4)
Lecture 1
• We want to create a picture of the scene viewed from the camera
• We apply a perspective transformation to convert the 3D coordinates to 2D coordinates of the screen
• Objects far away appear smaller, closer objects appear bigger
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Hidden Surface Removal (Lecture 7)
Lecture 1
• Objects occluded by other objects must not be drawn
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Shading and Lighting (Lecture 6)
Lecture 1
• Now we need to decide the colour of each pixels taking into account the object’s colour, lighting condition and the camera position
Object
point light source
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Shading : Constant Shading - Ambient
Lecture 1
• Objects colours by its own colour
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Shading – Flat Shading
Lecture 1
• Objects coloured based on its own colour and the lighting condition
• One colour for one face
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Gouraud shading, no specular highlights
19/09/11 Lecture 1
• Lighting calculation per vertex
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Specular high lights added
Lecture 1
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Rasterization (Lecture 5) • Converts the vertex information output
by the geometry pipeline into pixel information needed by the video display
• Aliasing: distortion artifacts produced when representing a high-resolution signal at a lower resolution.
• Anti-aliasing : technique to remove aliasing
Lecture 1
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Anti-aliasing
Lecture 1
Aliased polygons (jagged edges)
Anti-aliased polygons
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Lecture 1
• How is anti-aliasing done? Each pixel is subdivided
(sub-sampled) in n regions, and each sub-pixel has a color; • Compute the average color value
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Texture mapping (Lecture 8)
Lecture 1
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Other effects: Bump mapping (Lecture 9)
Reflections(Lecture 10), shadows (Lecture 11)
Lecture 1
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Other covered topics: Global Illumination (Lecture 12,13)
Lecture 1
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Other covered topics:
Polynomial Curves, Surfaces (Lecture 14,15)
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Graphics Definitions
• Point o a location in space, 2D or 3D o sometimes denotes one pixel
• Line o straight path connecting two points o infinitesimal width, consistent density o beginning and end on points
Lecture 1
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Graphics Definitions • Vertex
o point in 3D
• Edge o line in 3D connecting two vertices
• Polygon/Face/Facet o arbitrary shape formed by connected vertices o fundamental unit of 3D computer graphics
• Mesh • set of connected polygons forming a surface
(or object)
Lecture 1
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Graphics Definitions
• Rendering : process of generating an image from the model
• Framebuffer, colorbuffer : a video output device that drives a video display from a memory containing the color for every pixel
• Fragment : a surface area that corresponds to a pixel
Lecture 1
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Course support resources
• Graphics course website • http://www.inf.ed.ac.uk/teaching/course
s/cg o lecture material, o recommended reading, o Links to support material for lectures and projects, o Practical description and resources
Lecture 1
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Summary
• The course is about algorithms, not applications o Lots of mathematics
• Graphics have many applications • Graphics execution is a pipelined
approach • Basic definitions presented • Some support resources indicated
Lecture 1
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Text books
• Foley, van Dam, Feiner and Hughes, Computer
Graphics--Principles and Practice, 2nd ed.,
Prentice Hall 1997 . (some topics are outdated)
• Tomas Akenine-Moller, Eric Haines Real-time
Rendering, 2nd ed. , A K Peters 2002 or 3rd ed.
2008
• The Cg tutorial
http://http.developer.nvidia.com/CgTutorial/cg_t
utorial_chapter01.html
• Others shown in the course website