Fairing of planar curves to log-aesthetic curves-Reference-Cited by-同舟云学术

Fairing of planar curves to log-aesthetic curves

Published:2023-03-02 Issue:2 Volume:40 Page:1203-1219
ISSN:0916-7005
Container-title:Japan Journal of Industrial and Applied Mathematics
language:en
Short-container-title:Japan J. Indust. Appl. Math.

Author:

Graiff Zurita Sebastián Elías^ORCID,Kajiwara Kenji,Miura Kenjiro T.

Abstract

AbstractWe present an algorithm to fair a given planar curve by a log-aesthetic curve (LAC). We show how a general LAC segment can be uniquely characterized by seven parameters and present a method of parametric approximation based on this fact. This work aims to provide tools to be used in reverse engineering for computer-aided geometric design. Finally, we show an example of usage by applying this algorithm to the data points obtained from 3D scanning a model-car roof.

Funder

JSPS Kakenhi

JST CREST

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,General Engineering

Link

https://link.springer.com/content/pdf/10.1007/s13160-023-00567-w.pdf

Reference18 articles.

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3. Gobithaasan, R.U., Miura, K.T.: Aesthetic spiral for design. Sains Malaysiana 40, 1301–1305 (2011)

4. Gobithaasan, R.U., Siew Wei, Y., Miura, K.T.: Log-aesthetic curves for shape completion problem. J. Appl. Math. 2014, 960302 (2014)

5. Graiff Zurita, S.E., Kajiwara, K., Suzuki, T.: Fairing of discrete planar curves by integrable discrete analogue of Euler’s elasticae, preprint, arXiv:2111.00804v1 (2021)

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