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Advanced Graphics Intro_Part_2

Advanced Graphics Intro_Part_2 - Rasterizer Stage(cont I I...

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Rasterizer Stage (cont) implemented in hardware performs: hidden surface removal texturing compositing stenciling accumulation output is image on screen Summary application stage what to draw and how to draw it geometry stage computes 3D appearance of scene from viewer/camera point of view rasterizer stage draws 2D screen image
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Mathematics for Computer Graphics in this course we rely mostly on simple linear algebra more advanced graphics techniques also rely on calculus, statistics, numerical methods most of polygon-based computer graphics uses vectors and points defined in 3-dimensional real Cartesian space most common family of transformations represented by 4x4 matrix Vectors R 3 is the 3-dimensional real Euclidean space vector in R 3 is a 3-tuple of real numbers [ ] T v v v v v v v v v v 2 1 0 2 1 0 2 1 0 ) , , ( = ú ú ú û ù ê ê ê ë é = = H [ ] T w 1 1 1 1 1 1 ) 1 , 1 , 1 ( = ú ú ú û ù ê ê ê ë é = = H
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Drawing Vectors
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