Lecture Notes in Computer Science vol:5862 pages:419-433
Mathematical Methods for Curves and Surfaces location:Tønsberg, Norway date:June 26 - July 1, 2008
Quasi-hierarchical Powell-Sabin (QHPS) splines are quadratic splines with a global C1-continuity. They are defined on a locally refined hierarchical triangulation, and they admit a compact representation in a normalized B-spline basis. We show that sufficiently smooth functions and their derivatives can be approximated up to optimal order by a Hermite interpolating QHPS spline.