Curvature entropy for curved profile generation

Yoshiki Ujiie, Takeo Kato, Koichiro Sato, Yoshiyuki Matsuoka

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

In a curved surface design, the overall shape features that emerge from combinations of shape elements are important. However, controlling the features of the overall shape in curved profiles is difficult using conventional microscopic shape information such as dimension. Herein two types of macroscopic shape information, curvature entropy and quadrature curvature entropy, quantitatively represent the features of the overall shape. The curvature entropy is calculated by the curvature distribution, and represents the complexity of a shape (one of the overall shape features). The quadrature curvature entropy is an improvement of the curvature entropy by introducing a Markov process to evaluate the continuity of a curvature and to approximate human cognition of the shape. Additionally, a shape generation method using a genetic algorithm as a calculator and the entropy as a shape generation index is presented. Finally, the applicability of the proposed method is demonstrated using the side view of an automobile as a design example.

Original languageEnglish
Pages (from-to)533-558
Number of pages26
JournalEntropy
Volume14
Issue number3
DOIs
Publication statusPublished - 2012 Mar

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curvature
entropy
profiles
quadratures
cognition
calculators
Markov processes
curved surfaces
automobiles
continuity
genetic algorithms

Keywords

  • Curves
  • Information theory
  • Shape generation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Curvature entropy for curved profile generation. / Ujiie, Yoshiki; Kato, Takeo; Sato, Koichiro; Matsuoka, Yoshiyuki.

In: Entropy, Vol. 14, No. 3, 03.2012, p. 533-558.

Research output: Contribution to journalArticle

Ujiie, Yoshiki ; Kato, Takeo ; Sato, Koichiro ; Matsuoka, Yoshiyuki. / Curvature entropy for curved profile generation. In: Entropy. 2012 ; Vol. 14, No. 3. pp. 533-558.
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