Quadratic spline quasi-interpolants on Powell-Sabin partitions

• DOI: 10.1007/s10444-006-9025-0
• Publication Date: 2007-01-05T14:47:09Z
• Authors: Carla Manni; Paul Sablonnière
• Keywords: Spline (mechanical); Box spline

In this paper we address the problem of constructing quasi-interpolants in the space of quadratic Powell-Sabin splines on nonuniform triangulations. Quasi-interpolants of optimal approximation order are proposed and numerical tests are presented.