The Symmetry in the Noise-Perturbed Mandelbrot Set
Keyword(s):
The Core
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This paper investigates the destruction of the symmetrical structure of the noise-perturbed Mandelbrot set (M-set). By applying the “symmetry criterion” method, we quantitatively compare the damages to the symmetry of the noise-perturbed Mandelbrot set resulting from additive and multiplicative noises. Because of the uneven distribution between the core positions and the edge positions of the noise-perturbed Mandelbrot set, the comparison results reveal a paradox between the visual sense and quantified result. Thus, we propose a new “visual symmetry criterion” method that is more suitable for the measurement of visual asymmetry.
2018 ◽
1978 ◽
Vol 36
(2)
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pp. 522-523
1972 ◽
Vol 30
◽
pp. 660-661
Keyword(s):
1990 ◽
Vol 48
(3)
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pp. 600-601