Mandelbrot set: Difference between revisions
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m →Normalized Iteration Count, Distance Estimation and Mercator Maps: The Mandelbrot set is printed with smooth colors only. |
→Normalized Iteration Count, Distance Estimation and Mercator Maps: Corrected reference |
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===Normalized Iteration Count, Distance Estimation and Mercator Maps=== |
===Normalized Iteration Count, Distance Estimation and Mercator Maps=== |
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The Mandelbrot set is printed with smooth colors. |
The Mandelbrot set is printed with smooth colors. |
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The ''e^(-|z|)-smoothing'', ''normalized iteration count'' and ''exterior distance estimation'' algorithms are used with NumPy and complex matrices (see |
The ''e^(-|z|)-smoothing'', ''normalized iteration count'' and ''exterior distance estimation'' algorithms are used with NumPy and complex matrices (see Javier Barrallo & Damien M. Jones: [http://www.mi.sanu.ac.rs/vismath/javier/index.html ''Coloring Algorithms for Dynamical Systems in the Complex Plane''] and Mikael Hvidtfeldt Christensen: [http://blog.hvidtfeldts.net/index.php/2011/09/distance-estimated-3d-fractals-v-the-mandelbulb-different-de-approximations ''Distance Estimated 3D Fractals (V): The Mandelbulb & Different DE Approximations'']). |
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Finally, the Mandelbrot set is also printed with a scatter plot |
Finally, the Mandelbrot set is also printed with a scatter plot that is later misused for zoom images. |
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<lang python>import numpy as np |
<lang python>import numpy as np |
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import matplotlib.pyplot as plt |
import matplotlib.pyplot as plt |
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