Bounds on the dimensions of trivariate spline spaces

We derive upper and lower bounds on the dimensions of trivariate spline spaces defined on tetrahedral partitions. The results hold for general partitions, and for all degrees of smoothness r and polynomial degrees d.

• Type: Journal
• Year: 2008
• Where: ADCM
• Authors: Peter Alfeld, Larry L. Schumaker
• Keywords: ADCM 2007, ADCM 2008, Lower Bounds, Tetrahedral Partitions, Trivariate Spline