3D Geometrical Transformations - Brandeis（3 d几何转换-布兰代斯）.pdf

3D Geometrical Transformations 3D Geometrical Transformations Foley Van Dam, Chapter 5 • 3D point representation • Translation • Scaling, reflection • Shearing • Rotations about x, y and z axis • Composition of rotations • Rotation about an arbitrary axis • Transforming planes 3D Coordinate Systems Reminder: Cross Product UxV Right-handed coordinate system: z V U y VxU x ˆ Left-handed coordinate system: U V n U V sin y ˆ ˆ ˆ x y z u y v z u z v y U V u u u u v u v