Pythagorean-hodograph ovals of constant width

DOI10.1016/j.cagd.2007.10.008zbMath1172.65317OpenAlexW2086584403WikidataQ114202394 ScholiaQ114202394MaRDI QIDQ735471

Rachid Ait-Haddou, Walter Herzog, Luc Biard

Publication date: 22 October 2009

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2007.10.008

zbMATH Keywords

constant widthoffset curveovalPH curvedual Bézier curveevolute and involuterosette

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (7)

Algebraic equations for constant width curves and Zindler curves ⋮ Sparse Pythagorean hodograph curves ⋮ Interpolation of \(G^1\) Hermite data by \(C^1\) cubic-like sparse Pythagorean hodograph splines ⋮ Generalized plane offsets and rational parameterizations ⋮ Geometric Hermite interpolation by rational curves of constant width ⋮ Pythagorean hodograph spline spirals that match \(G^3\) Hermite data from circles ⋮ Mellish theorem for generalized constant width curves

Cites Work

• Rational curves and surfaces with rational offsets
• On rosettes and almost rosettes
• Rational geometric splines
• Some global properties and constructions for closed curves in the plane
• Minkowski isoperimetric-hodograph curves
• Curve design with rational Pythagorean-hodograph curves
• The rosettes.
• Curvature continuity and offsets for piecewise conics
• Pythagorean Triples in Uniquef Factorization Domains
• Planar Line Families. II
• Constant Breadth Curves in the Plane
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