3D transformations

10/22/99


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Table of Contents

3D transformations

Uses of transformations

Review of vectors

Vectors in 3D

Homogeneous coordinates

Points vs. vectors

Translation and scaling

Rotations around coord axes

General rotations

General rotations

General rotations

Composition of transformations

Transformation order

Building the arm

Building the arm

Hierarchical transformations

Hierarchical transformations

Hierarchical transformations

Hierarchical transformations

Transformation stack

Transformation stack example

Transformation stack example

Transformation stack example

Transformation stack example

Animation

Author: Denis Zorin

Email: dzorin@mrl.nyu.edu