THU-Splines: Highly Localized Refinement on Smooth Unstructured Splines

  title={THU-Splines: Highly Localized Refinement on Smooth Unstructured Splines},
  author={Xiaodong Wei},
  • Xiaodong Wei
  • Published 31 March 2021
  • Computer Science, Mathematics
  • ArXiv
We present a novel method named truncated hierarchical unstructured splines (THU-splines) that supports both local h-refinement and unstructured quadrilateral meshes. In a THU-spline construction, an unstructured quadrilateral mesh is taken as the input control mesh, where the degenerated-patch method [18] is adopted in irregular regions to defineC1-continuous bicubic splines, whereas regular regions only involve C2 B-splines. Irregular regions are then smoothly joined with regular regions… 

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