The uniqueness of Bézier control points

DOI10.1016/S0167-8396(97)00016-2zbMath0897.65011OpenAlexW1495899685MaRDI QIDQ1389459

Richard R. Patterson, Thomas G. Berry

Publication date: 30 June 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(97)00016-2

zbMATH Keywords

control pointsBézier curve

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (8)

The conditions for the coincidence or overlapping of two Bézier curves ⋮ The uniqueness of the rational Bézier polygon is unique ⋮ Necessary and sufficient conditions for rational quartic representation of conic sections ⋮ Parameter estimation for models of chemical reaction networks from experimental data of reaction rates ⋮ Conics in rational cubic Bézier form made simple ⋮ On the conditions for the coincidence of two cubic Bézier curves ⋮ Curves with rational chord-length parametrization ⋮ Detecting symmetries in polynomial Bézier curves

Cites Work

• On computing the intersection of a pair of algebraic surfaces
• Vector elimination: A technique for the implicitization, inversion, and intersection of planar parametric rational polynomial curves
• Improperly parametrized rational curves
• Projective transformations of the parameter of a Bernstein-Bézier curve
• Automatic parameterization of rational curves and surfaces IV: algebraic space curves
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