Modified PHT-splines
Incremental improvement for geometric modeling and isogeometric analysis practitioners dealing with anisotropic features.
The authors modified PHT-splines to reduce superfluous control points by allowing split-in-half refinement, improving flexibility for anisotropic surface fitting and isogeometric analysis.
The local refinement of PHT-splines (polynomial splines over hierarchical T-meshes) is achieved by a simple cross insertion, which may introduce superfluous control points or coefficients. By allowing split-in-half in mesh refinement, modified hierarchical T-meshes are defined. Using this approach, polynomial splines defined over the modified hierarchical T-meshes (modified PHT-splines) are introduced to increase the flexibility of PHT-splines. Numerical examples demonstrate the advantages of our new splines when applied to surface fitting and isogeometric analysis problems with anisotropic features.