Transform Matrices, Viewing, Modelling

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Translation matrix Translate a point p by multiplying by T (=M T ): ● p' = Tp = 1 T 0 0 d x 0 1 0 d y 0 0 1 d z 0 0 0 1 CMPT370: transform matrices 19 Feb 2009 8
Scaling matrix = s S x 0 0 0 0 s y 0 0 0 0 s z 0 0 0 0 1 Scale a point p by multiplying by T: ● p' = Tp Fixed point of origin (scaling away from origin) Reflection is via negative scale factors CMPT370: transform matrices 19 Feb 2009 9
Page 1 and 2: Transform Matrices, Viewing, Modell
Page 3 and 4: What's on for today Math for 3D gr
Page 5 and 6: Changing coordinate systems Say we
Page 7: Change of frames Something similar
Page 13 and 14: Order of transformations C: curren
Page 15 and 16: Selecting a lens: Projection The p
Page 17 and 18: Perspective projection Consider a
Page 21 and 22: Inward/outward facing polygons The
Page 23 and 24: Edge lists If only drawing edges (
Page 25 and 26: Using OpenGL vertex arrays Use glD

Transform Matrices, Viewing, Modelling

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