The Elucidation of Planar Aesthetic Curves

Date issued

2009

Journal Title

Journal ISSN

Volume Title

Publisher

Václav Skala - UNION Agency

Abstract

A compact formula for Logarithmic Curvature Histogram (LCH) and its gradient for planar curves have been proposed. Using these entities and the analysis of Generalized Cornu Spiral (GCS), the mathematical definition for a curve to be aesthetic has been introduced to overcome the ambiguity that occurs in measuring the beauty of a curve. In the last section, detailed examples are shown on how LCH and its gradient represented as a straight line equation can be used to measure the aesthetic value of planar curves.

Description

Subject(s)

logaritmická kurvatura, histogram, estetické křivky, měření estetické hodnoty

Citation

WSCG '2009: Full Papers Proceedings: The 17th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision in co-operation with EUROGRAPHICS: University of West Bohemia Plzen, Czech Republic, February 2 - 5, 2009, p. 183-190.
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