https://github.com/MathOnco/Curvogram

Method for plotting histograms on a curve using a West Transform
https://github.com/MathOnco/Curvogram

Last synced: 11 days ago
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Method for plotting histograms on a curve using a West Transform

• Host: GitHub
• URL: https://github.com/MathOnco/Curvogram
• Owner: MathOnco
• License: bsd-3-clause
• Created: 2022-04-25T15:09:15.000Z (over 2 years ago)
• Default Branch: main
• Last Pushed: 2022-04-26T19:53:29.000Z (over 2 years ago)
• Last Synced: 2024-08-01T16:46:22.444Z (3 months ago)
• Language: Jupyter Notebook
• Size: 1.74 MB
• Stars: 10
• Watchers: 2
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md
  • License: LICENSE

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README

        
# Curvogram

Envisioned by Ryan Schenck with development of method from Jeffrey West.

Method for plotting histograms on a curve using a West Transform. Originally, the term 'histo' means mast, as in a sailboat mast that holds the luff of a sail. Here we call these a curvogram, which is a histogram on a curve that is given by a user defined function. The transformed coordinates are a conformal mapping to the curve/function defined by the user, termed the West Coordinate Transform.

Together, the West Coordinate Transform and the Curvogram represent a fun way to visualize high density information that is often plotted separately for sake of accuracy. However, this separation, may not be necessary if the take away for a plot is easily understood using a curvogram or the curvogram is supplemented with the original histogram elsewhere.

## Examples

Here are two versions with matlab and python code.

### Matlab

[![View Curvogram on File Exchange](https://www.mathworks.com/matlabcentral/images/matlab-file-exchange.svg)](https://www.mathworks.com/matlabcentral/fileexchange/110645-curvogram)

Here we show the functions for a normal distribution whose mean is 1.5 and variance of 0.5. The curve functions are f(x)=sin(x), f(x)=cos(x), and f(x)=x^2.

![](/MATLAB/MATLAB_example.png?raw=true)

### Python

Here we show the same curve functions: f(x)=sin(x), f(x)=cos(x), and f(x)=x^2.

![](/python/Python_example.png?raw=true)

### Important considerations:

1. The curve cannot be that complex. So simple x/y relationships work best.

2. The distributions that you plot on the curve needs to be clear, but how clear depends entirely on the steepness of the curve.

3. The ***plotting area must be square***.