A multivariate Powell-Sabin interpolant

We consider the problem of constructing a C1 piecewise quadratic interpolant, Q, to positional and gradient data defined at the vertices of a tessellation of n-simplices in IRn . The key to the interpolation scheme is to appropriately subdivide each simplex to ensure that certain necessary geometric constraints are satisfied by the subdivision points. We establish these constraints using the Bernstein

• Type: Journal
• Year: 2008
• Where: ADCM
• Authors: Tatyana Sorokina, Andrew J. Worsey
• Keywords: ADCM 2008, Bernstein­Bézier Form, Necessary Geometric Constraints, Piecewise Quadratic Interpolant