TY - JOUR
T1 - Fairing of planar curves to log-aesthetic curves
AU - Graiff Zurita, Sebastián Elías
AU - Kajiwara, Kenji
AU - Miura, Kenjiro T.
N1 - Funding Information:
This work was supported by JSPS Kakenhi JP21K03329 and JST CREST Grant Number JPMJCR1911. We would like to thank Mr. Kentaro Takechi at Shizuoka University for providing the 3D data of the scale model car and helping on sampling the keylines from the 3D model.
Publisher Copyright:
© 2023, The Author(s).
PY - 2023
Y1 - 2023
N2 - We 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.
AB - We 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.
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U2 - 10.1007/s13160-023-00567-w
DO - 10.1007/s13160-023-00567-w
M3 - Article
AN - SCOPUS:85149065168
SN - 0916-7005
JO - Japan Journal of Industrial and Applied Mathematics
JF - Japan Journal of Industrial and Applied Mathematics
ER -