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《Journal of Northeastern University(Natural Science)》 2005-01
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Construction and Analysis of Quaternion Fractal Set in a Simplex Space

YU Hai, XU Zhe, ZHU Wei-yong(School of Information Science & Engineering, Northeastern University, Shenyang 110004, China. )  
Uses the escape-time algorithm to construct a series of M-J sets and estimates the boundary of the M set of the quaternion, based on the characteristics of quaternion in higher dimensional dynamic space. The corresponding relationship between 4-D Bannach space and 3-D Euclid space is given through a projection transform in simplex coordinate system and, further, the relationship is used to get the mapping of the M-J set of quaternion in a 3-D space. A constructive exploration and trial pre thus provided for the research and development of fractal theory in multidimensional dynamic space.
【Fund】: 教育部博士点专项科研基金资助项目(20030145030)
【CateGory Index】: O186
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1 LANG Fang-Nian ZHOU Ji-Liu YAN Bin SONG En-Bin ZHONG Fan 1.School of Electronic and Information Science,Sichuan University,Chengdu 610064 2.College of Computer Science,Sichuan University,Chengdu 610064 3.College of Automation,University of Electronic Science and Technology of China,Chengdu 610054 4.College of Mathematics,Sichuan University,Chengdu 610064;Obtain Method of Quaternion Matrix Orthogonal Eigenvector Set and Its Application in Color Face Recognition[J];Acta Automatica Sinica;2008-02
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