Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition

DOI10.1007/s11425-008-0134-8zbMath1177.14076OpenAlexW2022661802MaRDI QIDQ1041516

Ren-Hong Wang, Chun-Gang Zhu

Publication date: 2 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0134-8

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Curves in algebraic geometry (14H99)

Related Items (6)

Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces ⋮ The maximum number and its distribution of singular points for parametric piecewise algebraic curves ⋮ Algebra-geometry of piecewise algebraic varieties ⋮ The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations ⋮ An upper bound of the Bézout number for piecewise algebraic curves over a rectangular partition ⋮ The correspondence between multivariate spline ideals and piecewise algebraic varieties

Cites Work

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• Multivariate spline spaces
• Estimation of the Bezout number for piecewise algebraic curve
• Least squares fitting of piecewise algebraic curves
• The Bézout number for piecewise algebraic curves
• Cayley-Bacharach theorem of piecewise algebraic curves.
• Multivariate spline and algebraic geometry
• Nöther-type theorem of piecewise algebraic curves on triangulation
• Lagrange interpolation by bivariate splines on cross-cut partitions
• Nöther-type theorem of piecewise algebraic curves
• Piecewise algebraic varieties

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