The Symmetry in the Noise-Perturbed Mandelbrot Set
AbstractThis 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. View Full-Text
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Sun, T.; Wang, D. The Symmetry in the Noise-Perturbed Mandelbrot Set. Symmetry 2019, 11, 577.
Sun T, Wang D. The Symmetry in the Noise-Perturbed Mandelbrot Set. Symmetry. 2019; 11(4):577.Chicago/Turabian Style
Sun, Tianwen; Wang, Da. 2019. "The Symmetry in the Noise-Perturbed Mandelbrot Set." Symmetry 11, no. 4: 577.
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