Average is beautiful

For details, please refer to the YouTube video. It is suitable for both script and live script.
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Updated 20 May 2023

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This script was inspired by the following Japanese paper.
The paper states that "taking the average of handwritten hiragana characters makes them more beautiful."
In the paper, they fold the stroke data to create closed curves and expand them to a degree where the difference from the original becomes sufficiently small.
Since it seemed easier to process using the Discrete Cosine Transform (DCT), I chose that method. (DCT is equivalent to taking the DFT of an even extension of the input and is a reversible transformation.)
You can click and drag to draw one stroke, and when you release the click, it will move on to the second stroke. Press any key (e.g., space key, arrow keys) to move to the second try.
Since the determination of each stroke's similarity is based on simple normalization and distance calculation, there may be some mistakes.
This script is not intended for practical use but rather for enjoyment and experimentation.

Cite As

Hiroshi Iwamura (2024). Average is beautiful (https://www.mathworks.com/matlabcentral/fileexchange/129864-average-is-beautiful), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2023a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes
1.0.1

Added a YouTube link to the Description.

1.0.0