C1-interpolation for vector field topology visualization
Gerik Scheuermann, Xavier Tricoche, Hans Hagen · 1999
An application of scalar interpolation for 2D vector field topology visualization is presented. Powell-Sabin and Nielson interpolants are considered which both make use of Nielson’s Minimum Norm Network for the precomputation of the derivatives in our implementation. A comparison of their results to the commonly used linear interpolant underlines their significant improvement of singularity location and topological skeleton depiction. Evalution is based upon the processing of polynomial vector fields with known topology containing higher order singularities.