| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 441169 | Computer Aided Geometric Design | 2013 | 17 Pages |
•A polynomial representation formula for the LR B-spline collection is shown.•The number of functions of the LR B-spline collection whose support contains a point is studied.•The close relation between the above properties is asserted.
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.
