Hierarchical B-spline refinement
SIGGRAPH '88 Proceedings of the 15th annual conference on Computer graphics and interactive techniques
ACM SIGGRAPH 2003 Papers
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
Polynomial splines over hierarchical T-meshes
Graphical Models
Isogeometric Analysis: Toward Integration of CAD and FEA
Isogeometric Analysis: Toward Integration of CAD and FEA
Some estimates for h–p–k-refinement in Isogeometric Analysis
Numerische Mathematik
On linear independence of T-spline blending functions
Computer Aided Geometric Design
Isogeometric Discrete Differential Forms in Three Dimensions
SIAM Journal on Numerical Analysis
Polynomial splines over locally refined box-partitions
Computer Aided Geometric Design
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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.