Pythagorean-hodograph ovals of constant width

Authors:
Rachid Ait-Haddou;Walter Herzog;Luc Biard
Affiliations:
Human Performance Laboratory, University of Calgary, Canada;Human Performance Laboratory, University of Calgary, Canada;Laboratoire Jean Kuntzmann, Université Joseph Fourier, Grenoble, France
Venue:
Computer Aided Geometric Design
Year:
2008

Citing 5
Cited 0

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Abstract

A constructive geometric approach to rational ovals and rosettes of constant width formed by piecewise rational PH curves is presented. We propose two main constructions. The first construction, models with rational PH curves of algebraic class 3 (T-quartics) and is based on the fact that T-quartics are exactly the involutes of T-cubic curves. The second construction, models with rational PH curves of algebraic class m4 and is based on the dual control structure of offsets of rational PH curves.