Algebra-geometry of piecewise algebraic varieties

DOI10.1007/s10114-012-9552-1zbMath1257.14038OpenAlexW2032847817MaRDI QIDQ1928120

Chun-Gang Zhu, Ren-Hong Wang

Publication date: 2 January 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-012-9552-1

zbMATH Keywords

partitionalgebraic geometrymultivariate splinepiecewise algebraic variety

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Spline approximation (41A15) Computational aspects in algebraic geometry (14Q99)

Related Items (2)

Semialgebraic splines ⋮ The correspondence between multivariate spline ideals and piecewise algebraic varieties

Cites Work

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• The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations
• Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition
• A practical guide to splines
• 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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