Partial derivatives of rational Bézier surfaces

DOI10.1016/S0167-8396(96)00033-7zbMath0906.68164OpenAlexW2075399211MaRDI QIDQ1392267

Thomas W. Sederberg, Takafumi Saito, Guo-Jin Wang

Publication date: 23 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(96)00033-7

zbMATH Keywords

derivativeboundrational Bézier curvemoving curverational Bézier surface

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (11)

New minimal bounds for the derivatives of rational Bézier paths and rational rectangular Bézier surfaces ⋮ On NURBS algorithms using tangent cones ⋮ Improved derivative bounds of the rational quadratic Bézier curves ⋮ Minimizing the maximal ratio of weights of rational Bézier curves and surfaces ⋮ The proof of Hermann's conjecture. ⋮ Some improvements on the derivative bounds of rational Bézier curves and surfaces ⋮ An improvement on the upper bounds of the magnitudes of derivatives of rational triangular Bézier surfaces ⋮ Computation of lower derivatives of rational triangular Bézier surfaces and their bounds estimation ⋮ On the derivative formula of a rational Bézier curve at a corner ⋮ New bounds on the magnitude of the derivative of rational Bézier curves and surfaces ⋮ Judging or setting weight steady-state of rational Bézier curves and surfaces

Cites Work

• Hodographs and normals of rational curves and surfaces
• Rational hodographs
• Derivatives of rational Bézier curves
• Unnamed Item

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