Fairing of planar curves to log-aesthetic curves

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

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)1203-1219
Number of pages17
JournalJapan Journal of Industrial and Applied Mathematics
Volume40
Issue number2
DOIs
Publication statusPublished - May 2023

All Science Journal Classification (ASJC) codes

  • General Engineering
  • Applied Mathematics

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