Multivariate spline and algebraic geometry

DOI10.1016/S0377-0427(00)00344-7zbMath0960.41008WikidataQ127774215 ScholiaQ127774215MaRDI QIDQ1587399

Ren-Hong Wang

Publication date: 14 May 2001

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

Mathematics Subject Classification ID

Multidimensional problems (41A63) Spline approximation (41A15)

Related Items (17)

The Nöther and Riemann-Roch type theorems for piecewise algebraic curve ⋮ The maximum number and its distribution of singular points for parametric piecewise algebraic curves ⋮ Algebra-geometry of piecewise algebraic varieties ⋮ The Bézout number of piecewise algebraic curves ⋮ The Cayley-Bacharach theorem for continuous piecewise algebraic curves over cross-cut triangulations ⋮ The correspondence between multivariate spline ideals and piecewise algebraic varieties ⋮ Cayley-Bacharach theorem of piecewise algebraic curves. ⋮ On structure of bivariate spline space of lower degree over arbitrary triangulation ⋮ Nöther-type theorem of piecewise algebraic curves on triangulation ⋮ Recent researches on multivariate spline and piecewise algebraic variety ⋮ The Bézout number for linear piecewise algebraic curves ⋮ Structure and dimension of multivariate spline space of lower degree on arbitrary triangulation ⋮ Lagrange interpolation by bivariate splines on cross-cut partitions ⋮ Counting positive solutions for polynomial systems with real coefficients ⋮ Adaptive thinning algorithm of nonsingular triangulation ⋮ Nöther-type theorem of piecewise algebraic curves on quasi-cross-cut partition ⋮ Splines, lattice points, and arithmetic matroids

Cites Work

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• The dimension and basis of spaces of multivariate splines
• Spaces of bivariate cubic and quartic splines on type-1 triangulations
• The singularity of Morgan-Scott triangulation
• Lectures on the finite element method. Notes by S. Kesavan, Akhil Ranjan, M. Vanninathan
• A practical guide to splines
• The Bézout number for piecewise algebraic curves
• A dimension series for multivariate splines
• Multivariate spline and its applications in science and technology
• Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang

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