complex_magnitude_surface.cpp File Reference

Complex magnitude surface with coloring. More...

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Detailed Description

Complex magnitude surface with coloring.

Author

Mitch Richling http://www.mitchr.me/

Date

2024-07-13

Standards

C++23

Copyright

Copyright (c) 2024, Mitchell Jay Richling http://www.mitchr.me/ All rights reserved.

Redistribution and use in source and binary forms, with or without modification, are permitted provided that the following conditions are met:

1. Redistributions of source code must retain the above copyright notice, this list of conditions, and the following disclaimer.
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Details

One popular way to plot complex functions is to use a surface plot of \(\vert f(z)\vert\) and color the surface with \(\arg(f(z))\). This way we can simultaneously represent the magnitude and phase over the complex plain. There are several ways to color the plots, and we will be following the method described by Richardson in 1991. In this example, we demonstrates several techniques:

• Alternate ways to do an initial sample (grid vs recursive)
• Sample near a point in the domain
• Sample below a level in the range
• Sample near level curves
• Sample based on a data value that is not part of the geometry
• Sample near domain axis
• Use MRaster to compute colors for complex numbers
• Directly attach colors to geometric points
• Do rough clipping with high sampling and cell filtering.
  
• Precision clipping by folding & culling.

Definition in file complex_magnitude_surface.cpp.