Curves with rational chord-length parametrization

DOI10.1016/j.cagd.2007.11.003zbMath1172.65345OpenAlexW2116785854MaRDI QIDQ735465

Javier Sánchez-Reyes, Leonardo Fernández-Jambrina

Publication date: 22 October 2009

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

Full work available at URL: http://oa.upm.es/2188/

zbMATH Keywords

bipolar coordinateslemniscate of BernoulliBézier circlechord-length parametrizationequilateral hyperbola

Mathematics Subject Classification ID

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

Related Items

Complex rational Bézier curves ⋮ Conics in rational cubic Bézier form made simple ⋮ Spherical quadratic Bézier triangles with chord length parameterization and tripolar coordinates in space

Cites Work

• Rational quadratic circles are parametrized by chord length
• Rational space curves are not ``unit speed
• Degenerate parametric curves
• Improperly parametrized rational curves
• Real rational curves are not `unit speed'
• The uniqueness of Bézier control points
• Generalizing rational degree elevation
• Bézier representation of epitrochoids and hypotrochoids.
• Higher order Bézier circles
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