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
Dimensions of spline spaces over T-meshes
Journal of Computational and Applied Mathematics
Surface modeling with polynomial splines over hierarchical T-meshes
The Visual Computer: International Journal of Computer Graphics
Polynomial splines over hierarchical T-meshes
Graphical Models
Isogeometric Analysis: Toward Integration of CAD and FEA
Isogeometric Analysis: Toward Integration of CAD and FEA
On the instability in the dimension of splines spaces over T-meshes
Computer Aided Geometric Design
On linear independence of T-spline blending functions
Computer Aided Geometric Design
THB-splines: The truncated basis for hierarchical splines
Computer Aided Geometric Design
Hierarchical bases of spline spaces with highest order smoothness over hierarchical T-subdivisions
Computer Aided Geometric Design
Approximation power of polynomial splines on T-meshes
Computer Aided Geometric Design
Bases and dimensions of bivariate hierarchical tensor-product splines
Journal of Computational and Applied Mathematics
Dimension of spline spaces with highest order smoothness over hierarchical T-meshes
Computer Aided Geometric Design
Polynomial splines over locally refined box-partitions
Computer Aided Geometric Design
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In this paper we propose a strategy for generating consistent hierarchical T-meshes which allow local refinement and offer a way to obtain spline basis functions with highest order smoothness incrementally. We describe the required ordering of line-segments during refinement and the construction of spline basis functions. We give our strategy for generating consistent hierarchical T-meshes over any shape of a two-dimensional domain.