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Linear algebra and geometric transformations in 2D Computer Graphics CSE 167 Lecture 2 CSE 167: Computer Graphics Linear algebra –Vectors –Matrices Points as vectors Geometric transformations in 2D –Homogeneous coordinates CSE 167, Winter 2018 2 Vectors Represent magnitude and direction in multiple dimensions Examples –Translation of a point –Surface normal vectors (vectors orthogonal to surface) Based on slides courtesy of Jurgen Schulze CSE 167, Winter 2018 3 Vectors and arithmetic Examples using Vectors are 3‐vectors column vectors Vectors must be the same length CSE 167, Winter 2018 4
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