Geometry dependence of the dimension of spaces of piecewise polynomials on rectilinear partitions

DOI10.1016/S0167-8396(97)00020-9zbMath0900.68450MaRDI QIDQ1351016

Dwight Diener

Publication date: 27 February 1997

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

zbMATH Keywords

Bézier netsBivariate splinesDimensions

Mathematics Subject Classification ID

Spline approximation (41A15) Computing methodologies for text processing; mathematical typography (68U15)

Related Items

On the dimension of bivariate spline spaces on generalized quasi-cross- cut partitions ⋮ An explicit local basis for \(C^{1}\) cubic spline spaces over a triangulated quadrangulation

Cites Work

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• Bounds on the dimension of spaces of multivariate piecewise polynomials
• On minimal and quasi-minimal supported bivariate splines
• Dual bases for spline spaces on cells
• Super spline spaces of smoothness \(r\) and degree \(d\geq{} 3r+2\)
• Instability in the Dimension of Spaces of Bivariate Piecewise Polynomials of Degree $2r$ and Smoothness Order r