An algorithm for optimizing a unique bean sculpture that best fits existing architecture.

Chicago's status as a world-class city is cemented by its iconic bean sculpture. Other cities, wanting to replicate the success, have muddied the bean waters by introducing their own bean variations: New York City has a bean sharing similar properties, and Ottawa has a sphere, dubbed the "Ottawa bean" by locals. Our economic analysis proves their worth, so naturally other cities will want their own. We present a mathematical model of the space of all bean sculptures, and an algorithm to help cities replace existing landmarks with beans.

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A super serious use of differentiable rendering.

For years, society has been plagued by the lack of a conclusive answer to the question of how arbitrary things would wear jeans, if they wore jeans. This paper proposes a jalgorithm to determine the mathematically optimal configuration of pants on a silhouette, leveraging recent insights in the fields of computer vision and differentiable rendering.

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Tired of doing math to get normals in your vertex shader? Same. Use this library to write your function once and generate derivatives automatically!

Sometimes, I want to displace mesh vertices in a vertex shader. After doing this, the normals of a surface should change. However, per-vertex normals don't automatically update! Manual updating of vertex normals requires you to take the derivative of your displacement function. This library automates that process so that it takes less time and is less prone to user error.

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