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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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