Recent researches on multivariate spline and piecewise algebraic variety

DOI10.1016/j.cam.2007.10.056zbMath1152.41009OpenAlexW2052685660MaRDI QIDQ950195

Ren-Hong Wang

Publication date: 22 October 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.10.056

zbMATH Keywords

Computational geometryMultivariate splinePiecewise algebraic variety

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (4)

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

Cites Work

• The Bézout number for piecewise algebraic curves
• Cayley-Bacharach theorem of piecewise algebraic curves.
• Multivariate spline and algebraic geometry
• Multivariate weak spline function space
• The Bézout number of piecewise algebraic curves
• Multivariate spline space over cross-cut partition
• Dimensions of spline spaces over T-meshes
• Structure and dimension of multivariate spline space of lower degree on arbitrary triangulation
• Lagrange interpolation by bivariate splines on cross-cut partitions
• Nöther-type theorem of piecewise algebraic curves
• Piecewise algebraic varieties
• Cayley-Bacharach theorems and conjectures
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