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Fractal generation method based on asymptote family of generalized Mandelbrot set and its application

2017; International Scientific Research Publications; Volume: 10; Issue: 03 Linguagem: Inglês

10.22436/jnsa.010.03.24

2008-1901

Shuai Liu, Zheng Pan, Weina Fu, Xiaochun Cheng,

Advanced Algorithms and Applications

Generalized Mandelbrot set (k-M set) is the basis of fractal analysis.This paper presents a novel method to generate k-M set, which generates k-M set precisely by constructing its asymptote family.Correctness of the proposed method is proved as well as computational complexity is researched.Further, application of the generation method is studied, which is used to analyze distribution of boundary points and periodic points of k-M set.Finally, experiments have been implemented to evaluate the theoretical results.