Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae
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arXiv
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| Format: | Preprint |
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2021
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| _version_ | 1866913491111116800 |
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| author | Zurita, Sebastian Elias Graiff Kajiwara, Kenji Suzuki, Toshitomo |
| author_facet | Zurita, Sebastian Elias Graiff Kajiwara, Kenji Suzuki, Toshitomo |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2111_00804 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae Zurita, Sebastian Elias Graiff Kajiwara, Kenji Suzuki, Toshitomo Exactly Solvable and Integrable Systems 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. |
| title | Fairing of Discrete Planar Curves by Integrable Discrete Analogue of Euler's Elasticae |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2111.00804 |