GENERATING DIMENSION FORMULAS FOR MULTIVARIATE SPLINES. Academic Article

abstract

• Dimensions of spaces of multivariate splines remain unknown in general. A computational method to obtain explicit formulas for the dimension of spline spaces on simplicial partitions is described. The method is based on Hilbert series and Hilbert polynomials. It is applied to conjecture the dimension formulas for splines on the Alfeld split of a simplex and on several other partitions. [ABSTRACT FROM AUTHOR]

authors

• Foucart, Simon

author list (cited authors)

• FOUCART, S., & SOROKINA, T.

complete list of authors

• FOUCART, S||SOROKINA, T

publication date

• January 2013

publisher

• Aulona Press  Publisher

published in

• Albanian Journal of Mathematics  Journal

keywords

• Alfeld Split
• Dimension
• Dimensions
• Generating Functions
• Hilbert Polynomial
• Hilbert Series
• Mathematical Formulas
• Multivariate Analysis
• Multivariate Splines
• Simplicial Partition
• Spline Theory

start page

• 25

end page

• 35

volume

• 7

issue

• 1