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arXiv · 2111.00804

Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae

Sebastian Elias Graiff Zurita·Kenji Kajiwara·Toshitomo Suzuki
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Abstract

We construct a method to fair a given discrete planar curve by using the integrable discrete analogue of Euler's elastica, which is a discrete version of the approximation algorithm presented by D. Brander, et al. We first give a brief review of the integrable discrete analogue of Euler's elastica proposed by A. I. Bobenko and Yu. B. Suris, then we present a detailed account of the fairing algorithm, and we apply this method to an architectural problem of characterizing the keylines of Japanese handmade pantiles.

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Sebastian Elias Graiff Zurita, Kenji Kajiwara, Toshitomo Suzuki. 2021-11-01. Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae. https://doi.org/10.1142/s2661335222500071

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