Quaternion Julia Set Shape Optimization

We present the first 3D algorithm capable of answering the question: what would a Mandelbrot‐like set in the shape of a bunny look like? More concretely, can we find an iterated quaternion rational map whose potential field contains an isocontour with a desired shape? We show that it is possible to...

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Bibliographic Details
Published in:	Computer graphics forum Vol. 34; no. 5; pp. 167 - 176
Main Author:	Kim, Theodore
Format:	Journal Article
Language:	English
Published:	Oxford Blackwell Publishing Ltd 01.08.2015
Subjects:	3-D graphics Algorithms Analysis and object representations Categories and Subject Descriptors (according to ACM CCS) Convergence I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling-Curve I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling—Curve, surface, solid, and object representations Image processing systems Optimization Potential fields Quaternions Shape optimization solid Strategy Studies surface Transformations Translations
ISSN:	0167-7055, 1467-8659
Online Access:	Get full text
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