Hypercomplex iterations : distance estimation and higher dimensional fractals /
This book is based on the authors' research on rendering images of higher dimensional fractals by a distance estimation technique. It is self-contained, giving a careful treatment of both the known techniques and the authors' new methods. The distance estimation technique was originally ap...
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
River Edge, NJ :
World Scientific,
©2002.
|
| Series: | K & E series on knots and everything ;
v. 17. |
| Subjects: | |
| Online Access: | CONNECT |
Table of Contents:
- pt. 1. Introduction. ch. 1. Hypercomplex iterations in a nutshell
- ch. 2. Deterministic fractals and distance estimation
- pt. 2. Classical analysis: complex and quaternionic. ch. 3. Distance estimation in complex space
- ch. 4. Quaternion analysis
- ch. 5. Quaternions and the Dirac string trick
- pt. 3. Hypercomplex iterations. ch. 6. Quaternion Mandelbrot sets
- ch. 7. Distance estimation in higher dimensional spaces
- pt. 4. inverse iteration, ray tracing and virtual reality. ch. 8. Inverse iteration: an interactive visualization
- ch. 9. Ray tracing methods by distance estimation
- ch. 10. Quaternion deterministic fractals in virtual reality.
