A characterization theorem of multivariate splines in blossoming form

DOI10.1016/0167-8396(91)90034-9zbMath0745.41010OpenAlexW2008774817MaRDI QIDQ1183543

Ming-Jun Lai

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-8396(91)90034-9

zbMATH Keywords

multivariate splinessmoothness conditionsblossoming form

Mathematics Subject Classification ID

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

Related Items

Burnett coefficients and laminates, A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation, Cell reducing and the dimension of the C1 bivariate spline space, On multivariate polynomials in Bernstein-Bézier form and tensor algebra, Raising the approximation order of multivariate quasi-interpolants, Multivariate Bernstein operators and redundant systems, New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant

Cites Work

• Multivariate vertex splines and finite elements
• De Boor-Fix functionals and polar forms
• Blossoms are polar forms
• A note on blossoming
• Knot insertion from a blossoming point of view
• A new multiaffine approach to B-splines