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

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。

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. 