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Gouraud Shading Algorithm •Find average normal at each vertex •Apply Phong reflection model at each vertex •Linearly interpolate vertex shades (<strong>color</strong>s) across each polygon I 1 (x 1 , y 1 ) I I I a b s y y x 1 1 b 1 y 1 y 1 x 2 4 a I y y I y y 1 I y y I y y 1 I x x I x x a DCP4516 Introduction to Computer Graphics 40 s s b 2 4 s 2 4 b 1 1 s s s a I a (x a , y s ) I 2 (x 2 , y 2 ) I s (x s , y s ) I 3 (x 3 , y 3 ) I b (x b , y s ) I 4 (x 4 , y 4 )
Phong Shading •Interpolate normals rather than <strong>color</strong>s •Significantly more expensive •Mostly done off-line (not supported in OpenGL) DCP4516 Introduction to Computer Graphics 42
Page 1 and 2: Lighting and Shading Steve Lin Depa
Page 3 and 4: Why Do We Need Shading •Suppose w
Page 5 and 6: Factors that affect the“color”o
Page 7 and 8: Rendering Equation •The infinite
Page 9 and 10: Local vs Global Illumination •Cor
Page 11 and 12: Light Sources •General light sour
Page 13 and 14: Surface Types •The smoother a sur
Page 15 and 16: Ambient Light •The result of mult
Page 17 and 18: Specular Surfaces •Most surfaces
Page 19 and 20: The Shininess Coefficient α •Val
Page 21 and 22: Adding up the Components •A primi
Page 23 and 24: Modified Phong Model •Problem: In
Page 25 and 26: Using the Halfway Angle •Replace
Page 27 and 28: Example Teapots with different para
Page 29 and 30: Plane Normals •Equation of plane:
Page 31 and 32: Parametric Form •For sphere x = x
Page 33 and 34: Polygonal Shading •Curved surface
Page 35 and 36: Flat Shading Assessment •Inexpens
Page 37 and 38: DCP4516 Introduction to Computer Gr
Page 39: Gouraud Shading •Special case of
Page 43: Polygonal Shading Summary •Gourau

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