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Geometric transformations in 3D and coordinate frames

Geometric transformations in 3D and coordinate framesComputer GraphicsCSE 167 Lecture 3 CSE 167: Computer Graphics 3D points as vectors Geometric transformations in 3D coordinate framesCSE 167, Winter 20182 Representing 3D points using vectors 3D point as 3 vector 3D point using affine homogeneous coordinates as 4 vectorCSE 167, Winter 20183 Geometric transformations Translation Linear transformations Scale Rotation 3D rotations Affine transformation Linear transformation followed by translation Euclidean transformation Rotation followed by translation Composition of transformations Transforming normal vectorsCSE 167.

Geometric transformations • Translation • Linear transformations – Scale – Rotation • 3D rotations • Affine transformation – Linear transformation followed by translation • Euclidean transformation – Rotation followed by translation • Composition of transformations • Transforming normal vectors CSE 167, Winter 2018 4

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