Hypercomplex iterations : distance estimation and higher dimensional fractals /
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Book |
| Language: | English |
| Published: |
River Edge, NJ :
World Scientific,
©2002.
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| Series: | K & E series on knots and everything ;
v. 17 |
| Subjects: | |
| Online Access: | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210623 |
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.