Interactive visualization of quaternion Julia sets

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

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

Abstract

The first half of a two-step quaternion Julia set visualization system is described. This step uses a quaternion square root function to adapt the classic inverse iteration algorithm to the quaternions. The augmented version produces a 3-D Julia set defined by a point cloud that can be interactively manipulated on a graphics workstation. Several cues are assigned to the point cloud to increase depth perception. Finally, a short theorem is proven that extends the domain of the inverse iteration method to a rotational family of quadratic quaternion Julia sets.

Original languageEnglish (US)
Title of host publicationProc First 90 IEEE Conf Visualization Visualization 90
PublisherPubl by IEEE
Pages209-218, 47
ISBN (Print)0818620838
StatePublished - Dec 1 1990
Externally publishedYes
EventProceedings of the First 1990 IEEE Conference on Visualization - Visualization '90 - San Francisco, CA, USA
Duration: Oct 23 1990Oct 26 1990

Publication series

NameProc First 90 IEEE Conf Visualization Visualization 90

Other

OtherProceedings of the First 1990 IEEE Conference on Visualization - Visualization '90
CitySan Francisco, CA, USA
Period10/23/9010/26/90

ASJC Scopus subject areas

  • Engineering(all)

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  • Cite this

    Hart, J. C., Kauffman, L. H., & Sandim, D. J. (1990). Interactive visualization of quaternion Julia sets. In Proc First 90 IEEE Conf Visualization Visualization 90 (pp. 209-218, 47). (Proc First 90 IEEE Conf Visualization Visualization 90). Publ by IEEE.