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={Computer Aided Geometric Design},
  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… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 20 references

Polynomial splines over hierarchical T-meshes

Graphical Models • 2008
View 4 Excerpts
Highly Influenced

Adaptive and linearly independent multilevel B–splines

R. Kraft
Surface Fitting and Multiresolution Methods, • 1997
View 4 Excerpts
Highly Influenced

Local refinement of analysis-suitable T-splines

M. A. Scott, X. Li, T. W. Sederberg, T.J.R. Hughes
Comput. Methods Appl. Mech. Engrg., • 2012
View 2 Excerpts

Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids

N. Nguyen-Thanh, H. Nguyen-Xuan, S.P.A. Bordas, T. Rabczuk
Comput. Methods Appl. Mech. Engrg., • 2011
View 1 Excerpt

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