Generalized kronecker product and fractals

Donghui Xue; Yaoting Zhu; Guang-Xi Zhu; Xiong Yan

doi:10.1117/12.235499

22 March 1996 Generalized kronecker product and fractals

Donghui Xue, Yaoting Zhu, Guang-Xi Zhu, Xiong Yan

Proceedings Volume 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics; (1996) https://doi.org/10.1117/12.235499
Event: Fourth International Conference on Computer-Aided Design and Computer Graphics, 1995, Wuhan, China

Abstract

In this paper, we exploit the generation of images of approximations to fractals and fractal-like objects by using the generalized iterated Kronecker products and give several examples to show its application. After that, we propose a fast algorithm to estimate the fractals dimension which is generated by generalized Kronecker product under some conditions, and we also give the proof of it.

Citation Download Citation

Donghui Xue, Yaoting Zhu, Guang-Xi Zhu, and Xiong Yan "Generalized kronecker product and fractals", Proc. SPIE 2644, Fourth International Conference on Computer-Aided Design and Computer Graphics, (22 March 1996); https://doi.org/10.1117/12.235499

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