Real intersection points of piecewise algebraic curves

DOI10.1016/j.aml.2011.11.032zbMath1251.65019OpenAlexW1983348982MaRDI QIDQ452913

Jinming Wu

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.11.032

zbMATH Keywords

algorithmnumerical exampleinterval polynomialinterval zerospiecewise algebraic curvesreal intersection points

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) General methods in interval analysis (65G40)

Related Items (3)

The maximum number and its distribution of singular points for parametric piecewise algebraic curves ⋮ Real root classification of parametric spline functions ⋮ An upper bound of the Bézout number for piecewise algebraic curves

Cites Work

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• Solving parametric piecewise polynomial systems
• Zeros of univariate interval polynomials
• Isolating the real roots of the piecewise algebraic variety
• Intersection points algorithm for piecewise algebraic curves based on Groebner bases
• Real zeros of the zero-dimensional parametric piecewise algebraic variety
• The Bézout number for piecewise algebraic curves
• Cayley-Bacharach theorem of piecewise algebraic curves.
• Piecewise algebraic curve
• The Nöther and Riemann-Roch type theorems for piecewise algebraic curve
• Nöther-type theorem of piecewise algebraic curves

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