Rendering, OpenGL, and Lighting - Caltech

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Transformations• Matrix multiplication for object, world, cameratransformations• Take V = (x, y, z, 1) We use the 4th dimension (1) to make translations easy– Set up a stack of matrix transformations O 1 , O 2 , …O n– Multiply together in reverse order to applytransformation• That is, V final = O 1 O 2 …O n V– Note: rotation <strong>and</strong> scaling commute; translationdoes NOT commute• TRS = TSR; TRS != RTS != RST
Transformations• All transformations realized as 4x4 matrices• Translation by (x, y, z):– See why the 4thcoordinate is useful?• Scaling by (a, b, c):– Scale x by a, y by b,z by c, that is
Page 3: Spaces• Object space (also called
Page 6 and 7: Spaces• (Clipped) Normalized Devi
Page 8 and 9: SpacesNominally, the spaces are rel
Page 12 and 13: Transformations• Rotation is more
Page 14 and 15: Transformations• Projection trans
Page 16 and 17: Rasterization• Draw triangles fro
Page 18 and 19: OpenGL• So what does OpenGL do?-
Page 20 and 21: OpenGL transformation stacks• Sta
Page 22 and 23: OpenGL transformations• Function
Page 24 and 25: OpenGL geometry/rendering• How do
Page 26 and 27: How to render with OpenGL• Initia
Page 28 and 29: Simple lighting models• Flat, Gou
Page 30 and 31: Simple lighting models• The rende
Page 32 and 33: Specular lighting• Specular compo
Page 34 and 35: Homework 1• Implement per-pixel l
Page 36 and 37: Recitation contents• Explanation
Page 38 and 39: Simple lighting models• Diffuse c
Page 40 and 41: Simple lighting models• Overall l
Page 42 and 43: Blinn shading
Page 44 and 45: Phong shading (pixels)
Page 46 and 47: Default OpenGL pipelineVertex dataW
Page 48 and 49: Notes on GLSL pipeline• The verte
Page 50 and 51: Fragment shaders• Fragment shader
Page 52 and 53: GLSL syntax and programming• GLSL
Page 54 and 55: GLSL built-in variables• Handy re
Page 56 and 57: Fragment shader built-in variables
Page 58 and 59: Built-in functions• dot() - takes
Page 60 and 61:
Sample vertex shaderuniform int amb
Page 62 and 63:
Using shaders• Example included i
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Rendering, OpenGL, and Lighting - Caltech

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