TY - JOUR
T1 - Fairing of discrete planar curves to integrable discrete analogue of Euler's elasticae
AU - Zurita, Sebastián Elías Graiff
AU - Kajiwara, Kenji
AU - Suzuki, Toshitomo
N1 - Publisher Copyright:
© 2022 The Author(s).
PY - 2022/12/1
Y1 - 2022/12/1
N2 - We construct a method for fairing a given discrete planar curve by using the integrable discrete analog of Euler's elastica, which is a discrete version of the approximation algorithm presented by Brander et al. We first give a brief review of the integrable discrete analog of Euler's elastica proposed by Bobenko and 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.
AB - We construct a method for fairing a given discrete planar curve by using the integrable discrete analog of Euler's elastica, which is a discrete version of the approximation algorithm presented by Brander et al. We first give a brief review of the integrable discrete analog of Euler's elastica proposed by Bobenko and 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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U2 - 10.1142/S2661335222500071
DO - 10.1142/S2661335222500071
M3 - Article
AN - SCOPUS:85150767242
SN - 2661-3352
VL - 14
JO - International Journal of Mathematics for Industry
JF - International Journal of Mathematics for Industry
IS - 1
M1 - 2250007
ER -