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旋转对称加速算法绘制Mandelbrot集和Julia集

A Rotation Symmetry Accelerative Algorithm for Constructing Mandelbrot Set and Julia Set
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摘要 通过大量计算机数学实验,利用Mandelbrot集和Julia集不同的旋转对称性,在传统逃逸时间算法的基础上,提出了针对于M集和J集的特定的旋转对称加速算法,提高了绘图速度。并且引入不同判敛标准和收敛半径等其它条件,构造了美丽、奇异的分形图案。 Through lots of computer - mathematics experiments, using different of M set and J set's rotation symmetry, based on the escape time algorithm, specifically rotation symmetry accelerative algorithm aimed at M set and J set were advanced. This algorithm reduces the time of drawing, and constructs a lot of beautiful, fantastic fractal images through importing other conditions such as different criterion for convergence and convergence radius.
作者 冯玲 张桂兰
出处 《信息技术与信息化》 2007年第5期73-74,140,共3页 Information Technology and Informatization
关键词 M集 J集 逃逸时间算法 旋转对称性 M set J set Escape time algorithm Rotation symmetry
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  • 11, Barnsley M F. Fractal Everywhere. Boston: Academic Press Professional, 1993
  • 22, Peitgen, Heinz-Otto, Richter P H. The Beauty of Fractals. Berlin: Springer-Verlag, 1986. 54-57
  • 33, Heinz-Otto Peitgen, Dietmar Saupe. The Science of Fractal Images. Berlin: Springer-Verlag, 1988
  • 44, Bodil Barnner. The Mandelbrot set. Robert L Devaney, Linda Keen eds., Chaos and Fractal, The Mathematics Behind the Computer Graphics, AMSP, Proceedings of Symposia in Applied Mathematics, 1988, 39:75-104
  • 55, C A Pickover. Mathematics & beauty V: Turbulent complex curls. Computer & Graphics, 1987, 11(4):499-508
  • 66, C A Pickover, E Khorasni. Computer graphics generated from the iteration of algebraic transformations in the complex plane. Computer & Graphics, 1985, 9(2):147-151
  • 7Mandelbort B B. The fractal geometry of nature[M]. San Fransisco: Freeman W H, 1982.1-15.
  • 8Chen N, Zhu W Y. Bad-sequence conjecture on M fractal image and M-J conjecture between c and z planes from Z←Zw+c(w=α+βi)[J]. Computers & Graphics, 1998,22(4):537-546.
  • 9Yan D J, Liu X D, Zhu W Y. An Investigation of Mandelbrot set and Julia sets generated from a general complex cubic iteration[J]. Fractal, 1999,7(4):433-437.
  • 10Rojas Raul. A tutorial on efficient computer graphic representation of the Mandelbrot set[J]. Computers & Graphics, 1991,15(1):91-100.

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