Simplex Spline Bases on the Powell-Sabin 12-Split: Part I

Abstract

We review the construction and a few properties of the S-basis, a simplex spline basis for the $C^1$ quadratic splines on the Powell-Sabin 12-split.

Oberwolfach report for the conference Multivariate Splines and Algebraic Geometry

References in corpus (2)

• A Hermite interpolatory subdivision scheme for $C^2$-quintics on the Powell-Sabin 12-split
• Stable simplex spline bases for $C^3$ quintics on the Powell-Sabin 12-split