基于超复数系的分形准全息图象生成

曹汉强; 朱光喜; 朱耀庭

doi:10.11834/jig.199808199

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专辑

基于超复数系的分形准全息图象生成
Fractal Quasi-Hologram Synthesis Based on Hypercomplex Number System
1998年3卷第8期页码：637
纸质出版：1998
DOI： 10.11834/jig.199808199
稿件说明：

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曹汉强, 朱光喜, 朱耀庭. 基于超复数系的分形准全息图象生成[J]. 中国图象图形学报, 1998,3(8):637. DOI： 10.11834/jig.199808199.

Fractal Quasi-Hologram Synthesis Based on Hypercomplex Number System[J]. Journal of Image and Graphics, 1998, 3(8): 637. DOI： 10.11834/jig.199808199.

摘要

提出了一种新型分形准全息图象，并采用基于超复数系分形图象的生成方法进行分形准全息图象序列的生成，生成的分形准全息图象在激光防伪等领域有着良好的应用前景。文中还给出了超复数系中分形三维图象生成的快速算法和生成结果。

Abstract

The conventional iteration algorithm for generareing fractal images is in the complex plane.In this paper we define a fractal quasi-hologram and present a rendering method based on the hypercomplex number system for generating fractal quasi-holograms in more than four dimensions. The results indicate that the Mandelbrot and Julia sets are fractal and symmetrical in these higher dimensions. The fractal quasi-holograms can also be used in laser anti-counterfeiting field.