Ray tracing deterministic 3-D fractals-Reference-Cited by-同舟云学术

Ray tracing deterministic 3-D fractals

Published:1989-07 Issue:3 Volume:23 Page:289-296
ISSN:0097-8930
Container-title:ACM SIGGRAPH Computer Graphics
language:en
Short-container-title:SIGGRAPH Comput. Graph.

Author:

Hart J. C.¹,Sandin D. J.²,Kauffman L. H.²

Affiliation:

1. Electronic Visualization Laboratory, University of Illinois at Chicago

2. Dept, of Mathematics, Statistics and Computer Science, University of Illinois at Chicago

Abstract

As shown in 1982, Julia sets of quadratic functions as well as many other deterministic fractals exist in spaces of higher dimensionality than the complex plane. Originally a boundary-tracking algorithm was used to view these structures but required a large amount of storage space to operate. By ray tracing these objects, the storage facilities of a graphics workstation frame buffer are sufficient. A short discussion of a specific set of 3-D deterministic fractals precedes a full description of a ray-tracing algorithm applied to these objects. A comparison with the boundary-tracking method and applications to other 3-D deterministic fractals are also included.

Publisher

Association for Computing Machinery (ACM)

Subject

Computer Graphics and Computer-Aided Design,General Computer Science

Link

https://dl.acm.org/doi/pdf/10.1145/74334.74363

Reference20 articles.

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2. Ray tracing deformed surfaces

3. Blanchard P. Disconnected Julia sets. Chaotic Dynamics and Frac~als (1986) 181-201. Blanchard P. Disconnected Julia sets. Chaotic Dynamics and Frac~als (1986) 181-201.

4. Bounding ellipsoids for ray-fractal intersection

5. The iteration of cubic polynomials, Part I: The global topology of the parameter space;Branner B.;Acta Mathema~ica

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