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Rotation Transforms for Computer Graphics 1st Edition by John Vince ISBN 085729153X 978-0857291530

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Colloid Science 2ed Edition Cosgrove T. (Ed.) Digital Instant Download

Author(s): Cosgrove T. (ed.)
ISBN(s): 9781444320190, 144432019X
Edition: 2ed
File Details: PDF, 5.11 MB
Year: 2010
Language: english
SKU: EB-2042126 Category: Tag:

Rotation Transforms for Computer Graphics 1st Edition by John Vince – Ebook PDF Instant Download/Delivery: 085729153X, 978-0857291530

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Product details:

ISBN 10: 085729153X 

ISBN 13: 978-0857291530

Author:  John Vince 

Rotation transforms are used everywhere in computer graphics from rotating pictures in editing software, to providing an arbitrary view of a 3D virtual environment. Although the former is a trivial operation, the latter can be a challenging task.

Rotation Transforms for Computer Graphics covers a wide range of mathematical techniques used for rotating points and frames of reference in the plane and 3D space. It includes many worked examples and over 100 illustrations that make it essential reading for students, academics, researchers and professional practitioners.

The book includes introductory chapters on complex numbers, matrices, quaternions and geometric algebra, and further chapters on how these techniques are employed in 2D and 3D computer graphics. In particular, matrix and bivector transforms are developed and evaluated to rotate points in a fixed frame of reference, and vice versa.

Table of contents:

  1. Introduction

  2. Complex Numbers

  3. Vectors

  4. Matrices

  5. Quaternions

  6. Multivectors

  7. Rotation Transforms in the Plane

  8. Frames of Reference in the Plane

  9. Rotation Transforms in Space

  10. Frames of Reference in Space

  11. Quaternion Transforms in Space

  12. Bivector Rotors

  13. Conclusion

  14. Appendix A: Composite Point Rotation Sequences

  15. Appendix B: Composite Frame Rotation Sequences

  16. Appendix C: The Four n-Square Algebras

  17. Index

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Tags: John Vince, Rotation Transforms, Computer Graphics