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《Journal of Engineering Graphics》 2005-03
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The Generation and Research of Quaternion Fractal

GUAN Ke, KONG Fan-rang, FENG Zhi-hua, LIU Zhi-gang, LIU Wei-lai (Precise Machinery and Precise Instrument Department, University of Science and Technology of China, Hefei 230027, China)  
To realize the 3D fractal, the quaternion is applied as the iteration variable to create the 4D Julia set. After introducing how to implement the 3D visualization and the choice of the iteration method, the paper demonstrates in detail the concrete process of the generation of the quaternion fractal, and shows the graphic examples. Because the judgment criteria on the escape time algorithm is improved, the object set is the boundary set. Finally, through the observation and analysis, some characters of the quaternion Julia set are generalized, and conclude the same and different by comparing them with the complex Julia sets,illustrating the relationship between them.
【Fund】: 全国高校博士点基金资助项目(20020358063)
【CateGory Index】: TP391.41
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