Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 30, Issue 8, Pages 778-794Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cagd.2013.06.004
Keywords
Locally refinable splines; Linear independence; Polynomial representation; Quasi-interpolant; Overlap
Funding
- European Research Council through the FP7 Ideas Starting Grant [205004]
- Italian MIUR through the FIRB Futuro in Ricerca [RBFR08CZOS]
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Recently a new approach to piecewise polynomial spaces generated by B-spline has been presented by T. Dokken, T. Lyche and H.F. Pettersen, namely Locally Refined splines. In their recent work (Dokken et al., 2013) they define the LR B-spline collection and provide tools to compute the space dimension. Here different properties of the LR-splines are analyzed: in particular the coefficients for polynomial representations and their relation with other properties such as linear independence and the number of B-splines covering each element. (C) 2013 Elsevier B.V. All rights reserved.
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