Pythagorean-hodograph ovals of constant width
| Autor: | Luc Biard, Walter Herzog, Rachid Ait-Haddou |
|---|---|
| Přispěvatelé: | Laboratory of Human Performance, University of Calgary, Modélisation Géométrique & Multirésolution pour l'Image (MGMI), Laboratoire Jean Kuntzmann (LJK), Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS)-Université Pierre Mendès France - Grenoble 2 (UPMF)-Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP )-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2008 |
| Předmět: |
Pure mathematics
PH curve Aerospace Engineering Bézier curve Geometry 02 engineering and technology Oval [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG] 01 natural sciences Rosette Constant width Parametric surface Rational point 0202 electrical engineering electronic engineering information engineering Dual Bézier curve 0101 mathematics Algebraic number Evolute and involute Mathematics 010102 general mathematics 020207 software engineering Computer Graphics and Computer-Aided Design Modeling and Simulation Automotive Engineering Family of curves Piecewise Offset curve Algebraic curve Constant (mathematics) |
| Zdroj: | Computer Aided Geometric Design Computer Aided Geometric Design, Elsevier, 2008, 25 (4-5), pp.258-273. ⟨10.1016/j.cagd.2007.10.008⟩ |
| ISSN: | 0167-8396 |
| DOI: | 10.1016/j.cagd.2007.10.008 |
| Popis: | Special Issue: Pythagorean-Hodograph Curves and Related Topics; International audience; 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 m>4 and is based on the dual control structure of offsets of rational PH curves. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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