基于超复数系的分形准全息图象生成认领

Fractal QuasiHologram Synthesis Based on Hypercomplex Number System

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摘要提出了一种新型分形准全息图象，并采用基于复数系分形图象的生成方法进行了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的良好的应用前景。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。 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. 

作者曹汉强朱光喜 Cao Hanqiang,Zhu Guangxi,Zhu Yaoting (Dept.of Electronics & Information Engineering, Huazhong University of Science and Technology,Wuhan 430074)

机构地区华中理工大学电信系

出处《中国图象图形学报：A辑》 CSCD 1998年第8期 637-640,共4页

基金国家自然科学基金

关键词准全息图象超复数系图象生成分形几何学 Fractal,Quasihologram,Hypercomplex number system ,Image synthesis

分类号 TB877 [一般工业技术—摄影技术] TP391.41 [自动化与计算机技术—计算机应用技术][自动化与计算机技术—计算机科学与技术]

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3Pentland A P. Fractal-based description of natural scense. IEEE Tran. PatternAnal. Mach. Intell. 1984:661-674. 被引量：1
4Kantor I L, Solodovnikov. Hypercomplex number. An Elementary Introduction to Algebras. Springer-Verlag, New York:1989. 被引量：1