cmap2d: RGB Colormaps for 2D

This is a python package, cmap2d, which provides tools for generating colormaps for 2 dimensions. In other words, while typical colormaps map from a single (1D) value to a single color value, a 2D colormap maps from 2 values (2D) to a single color value. These 2D colormaps are useful for visualizing 2 variables at once.

The package contains several different ColorMap implementations. A ColorMap is initialized with a set of 2D points (coords) and associated color values (colors). The coords define the domain of your input, while the colors defines the range of the desired output colors. Then, when invoked with a sample point from the 2D data, the initialized ColorMap will return a color interpolated from the colorspace defined by colors. Each ColorMap class in the package corresponds to a different approach for computing the interpolation.

The package also contains several utility functions for visualizing the colormaps. These utilities use matplotlib.

You can see the package in use and get a better feel for the different classes and how to use them here.

Limitations and Notes

• Input coordinates should be the vertices of a convex polygon, defined in clockwise or counterclockwise order. I haven't tested providing random or un-ordered points at all, and do not expect it to work.
• Only tested with RGB values. I think the ColorMaps should work with any color representation, but the plotting utilities only seem to work with RGB (limitation in matplotlib?)
• Only tested with 2D input values. Conceptually, there's no reason these shouldn't work with higher-dimensional inputs, but I just haven't spent any time testing it.
• All ColorMaps 3+ colors to map. For exactly 3 colors, the mapping is unique, and so most ColorMaps will produce the same or nearly the same mapping. For 4+, there are many possible mappings, and that is why there are several different ColorMaps. If you want to map 4+ colors, I recommend testing several maps and seeing which you like the most.
• One of the benefits of not assuming constraints on the input domain (many 1D colormaps map from the range [0,1) to colors) is being able to potentially gracefully handle inputs outside the specified range. Many of the ColorMaps included in cmap2d support this.
• Documentation is currently poor - best reference is the worked example in this jupyter notebook
• The utility functions for plotting and comparing ColorMaps are somewhat brittle, and might not work well if your colormap isn't defined over at least [0,100] range in all dimensions.

Meta Comment

This package is something I built quickly to satisfy a need as part of a separate exploration. I had a problem (mapping US Presidential election results), for which I was exploring better ways to visualize the outcomes. I built this little package as an exercise, and have decided to open source it, in case anyone else finds it useful.

In other words, this is definitely provided AS IS, and not something I plan on spending much further time on. That said, please enjoy and do let me know if you have any questions or feedback!

Future Directions

• Are there existing, quantitative metrics for testing/scoring discernability of colormaps? Intuitively, I want to score a generated colormap for (A) how well it separates the given extrema while (B) remaining continuous and (C) evenly spreading out the change (derivative is near constant).
• Extend to using CMYK and possibly other, higher dimensional, representations of colors, to better handle maps of 4+ colors.
• Test with N dimensional input?
• Could extend with a composite mapper, which combines results from several colormaps? Alternatively, could deconstruct input params into non-overlapping triangles and delegate to TernaryColorMap
• Support other color values (RGBA, HSV, etc.)
• Support mapping arrays of points in one call