Lifted Domain Coloring | Syntopia
This year, one of the pictures at the International Science & Engineering Visualization Challenge, caught my interest. Poelke and Polthier’s Lifted Domain Coloring is a coloring scheme for visualizing properties of complex functions: it maps numbers in the complex plane stereographically to the Riemann sphere, and assigns a hue based on the inclination angle (though I’m not sure that much is gaine
Complex Domain Coloring
Complex Domain Coloring was introduced to me by Jan Hlavacek as a way of visualizing a function of a complex variable by associating a complex number with a color. The basic idea is to express the color in its HSV representation, where the phase of the complex number determines the color's hue, and the modulus of the complex number gives the color's saturation and value. With built-in support for
Domain coloring - Wikipedia
Domain coloring plot of the function f(x) = (x2 − 1)(x − 2 − i)2/x2 + 2 + 2i, using the structured color function described below. In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane. By assigning points on the complex plane to different colors and brightness, domain coloring allows for
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http://www.mathe.tu-freiberg.de/~wegert/visual/BirkAbout.pdf