### 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 language | English (US) |
---|---|

Title of host publication | Proc First 90 IEEE Conf Visualization Visualization 90 |

Publisher | Publ by IEEE |

Pages | 209-218, 47 |

ISBN (Print) | 0818620838 |

State | Published - Dec 1 1990 |

Externally published | Yes |

Event | Proceedings of the First 1990 IEEE Conference on Visualization - Visualization '90 - San Francisco, CA, USA Duration: Oct 23 1990 → Oct 26 1990 |

### Publication series

Name | Proc First 90 IEEE Conf Visualization Visualization 90 |
---|

### Other

Other | Proceedings of the First 1990 IEEE Conference on Visualization - Visualization '90 |
---|---|

City | San Francisco, CA, USA |

Period | 10/23/90 → 10/26/90 |

### ASJC Scopus subject areas

- Engineering(all)

## Fingerprint Dive into the research topics of 'Interactive visualization of quaternion Julia sets'. Together they form a unique fingerprint.

## 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.