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arXiv · 1208.4427

Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids

Wayne Rossman·Masashi Yasumoto
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Abstract

We give a Weierstrass type representation for semi-discrete minimal surfaces in Euclidean 3-space. We then give explicit parametrizations of various smooth, semi-discrete and fully-discrete catenoids, determined from either variational or integrable systems principles. Finally, we state the shared properties that those various catenoids have.

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Wayne Rossman, Masashi Yasumoto. 2012-08-22. Weierstrass representation for semi-discrete minimal surfaces, and comparison of various discretized catenoids. https://arxiv.org/abs/1208.4427

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