Analysis of z-plane fractal images from z ← zα + c for α < 0

Dhurandhar, Sanjeev V. ; Bhavsar, Virendra C. ; Gujar, Uday G. (1993) Analysis of z-plane fractal images from z ← zα + c for α < 0 Computers & Graphics, 17 (1). pp. 89-94. ISSN 0097-8493

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/009784...

Related URL: http://dx.doi.org/10.1016/0097-8493(93)90056-F

Abstract

The z-plane fractal images generated from the generalized transformation function z ← zα+ c, α < 0, are analyzed. The fractal images consist of planetary structures with a central planet surrounded by satellite structures. The positions and sizes of the planet and satellite structures are analytically estimated. The partial structures arising for non-integer values of α are also analysed. For α greater than a critical value drastic changes occur in the images; these changes are explained.

Item Type:Article
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Deposited On:02 Nov 2010 04:08
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