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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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
River Edge, NJ :
World Scientific,
©2002.
|
| Colección: | K & E series on knots and everything ;
v. 17. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.