Ray tracing deterministic 3-D fractals

John C. Hart, Daniel J. Sandin, Louis H. Kauffman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationProceedings of the 16th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1989
PublisherAssociation for Computing Machinery, Inc
Pages289-296
Number of pages8
ISBN (Electronic)0897913124, 9780897913126
DOIs
StatePublished - Jul 1 1989
Externally publishedYes
Event16th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1989 - Boston, United States
Duration: Jul 31 1989Aug 4 1989

Publication series

NameProceedings of the 16th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1989

Other

Other16th Annual Conference on Computer Graphics and Interactive Techniques, SIGGRAPH 1989
Country/TerritoryUnited States
CityBoston
Period7/31/898/4/89

Keywords

  • Distance estimate
  • Fractal
  • Quaternions
  • Ray tracing
  • Surface determination

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design
  • Human-Computer Interaction

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