The Elucidation of Planar Aesthetic Curves
R. U. Gobithaasan, Jamaludin Md. Ali, Kenjiro Takai Miura · Digital Library (University of West Bohemia) · 2009
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.