Join Copernicus Academic and get access to over 12 million papers authored by 7+ million academics.

Related Articles:

• Comparison of ELISA and dual stage real time RT-PCR to differentiate Sabin like and non-Sabin like p Read more...

• Modeling spatial trajectories in dynamics testing using basis splines: application to tracking human Read more...

• Evaluation of the genetic stability of Sabin strains and the consistency of inactivated poliomyeliti Read more...

• Estimating and Interpreting Effects from Nonlinear Exposure-Response Curves in Occupational Cohorts Read more...

• Rebuttal From Dr Powell.

A normalized basis for quintic Powell–Sabin splines

Hendrik Speleers - No affiliation found

2010/08/01 Full-length article DOI: 10.1016/j.cagd.2010.05.001 Journal: Computer Aided Geometric Design

Abstract:

AbstractWe construct a suitable normalized B-spline representation for C2-continuous quintic Powell–Sabin splines. The basis functions have a local support, they are nonnegative, and they form a partition of unity. The construction is based on the determination of a set of triangles that must contain a specific set of points. We are able to define control points and cubic control polynomials which are tangent to the spline surface. We also show how to compute the Bézier control net of such a spline in a stable way.