THB-splines: The truncated basis for hierarchical splines

@article{Giannelli2012THBsplinesTT,
  title={THB-splines: The truncated basis for hierarchical splines},
  author={Carlotta Giannelli and Bert J{\"u}ttler and Hendrik Speleers},
  journal={Comput. Aided Geom. Des.},
  year={2012},
  volume={29},
  pages={485-498}
}
The construction of classical hierarchical B-splines can be suitably modified in order to define locally supported basis functions that form a partition of unity. We will show that this property can be obtained by reducing the support of basis functions defined on coarse grids, according to finer levels in the hierarchy of splines. This truncation not only decreases the overlapping of supports related to basis functions arising from different hierarchical levels, but it also improves the… 
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