Bezier Curves and Surfaces (Redbook ch12)

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Review last time● Bump mapping theory Creating a texture in OpenGL● Texture objects: glBindTexture()● Loading image data: glTexImage2D() Using the framebuffer as a texture Applying a texture in OpenGL● Blending modes: glTexEnvf()● Texture coordinates: glTexCoord2f() Auto-generated texcoords: glTexGen() Spherical environmental mapping● Mip-mapsCMPT370: Bezier curves 27 Mar 20072
What's on for today Polynomial curves and surfaces Cubic polynomial curves:● Interpolating (4 points)● Hermite (2 points + 2 derivatives)● Bezier (2 interpolating end points + 2midpoints)● Using Bezier evaluators in OpenGLCMPT370: Bezier curves 27 Mar 20073
Page 1: Bezier Curves and Surfaces(Redbook
Page 5 and 6: Polynomial curves Restrict the func
Page 7 and 8: Geometry matrix Invert this matrix
Page 9 and 10: Hermite polynomial curves Another w
Page 11 and 12: Bezier curves Widely used, provided
Page 13 and 14: PR EFACIO.cuentran continuamente en

Bezier Curves and Surfaces (Redbook ch12)

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