Logarithmic curvature and torsion graphs

Authors:
Norimasa Yoshida;Ryo Fukuda;Takafumi Saito
Affiliations:
Nihon University, Chiba, Japan;Nihon University, Chiba, Japan;Tokyo University of Agriculture and Technology, Tokyo, Japan
Venue:
MMCS'08 Proceedings of the 7th international conference on Mathematical Methods for Curves and Surfaces
Year:
2008

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Abstract

This paper introduces logarithmic curvature and torsion graphs for analyzing planar and space curves. We present a method for drawing these graphs from any differentiable parametric curves and clarify the characteristics of these graphs. We show several examples of theses graphs drawn from planar and 3D Bézier curves. From the graphs, we can see some interesting properties of curves that cannot be derived from the curvature or torsion plots.