Bernstein-Bezoutian matrices and curve implicitization

DOI10.1016/j.tcs.2007.02.008zbMath1117.68077OpenAlexW2065271753MaRDI QIDQ884463

Ana Marco, José-Javier Martıńez

Publication date: 6 June 2007

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.tcs.2007.02.008

zbMATH Keywords

interpolationcurveimplicitizationtotal positivityBernstein basisBezoutian matrices

Mathematics Subject Classification ID

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

Related Items (1)

Accurate polynomial interpolation by using the Bernstein basis

Uses Software

• mctoolbox

Cites Work

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• Comparison of interval methods for plotting algebraic curves
• Improved algorithms for computing determinants and resultants
• Shape preserving representations and optimality of the Bernstein basis
• On the stability of transformations between power and Bernstein polynomial forms
• Optimal properties of the uniform algebraic trigonometric B-splines
• A generalized Kronecker product and linear systems
• Accuracy and Stability of Numerical Algorithms
• Displacement Structure: Theory and Applications
• The Accurate and Efficient Solution of a Totally Positive Generalized Vandermonde Linear System
• Solution of Vandermonde systems of equations
• Using polynomial interpolation for implicitizing algebraic curves
• Tracing index of rational curve parametrizations

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