The NURBS book
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
On linear independence of T-spline blending functions
Computer Aided Geometric Design
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Local refinement is widely applied in surface modeling. This paper proposes the concept of influence knot set, and uses it to establish a new algorithm for the local refinement of T-spline surfaces, whose effectiveness is demonstrated by several examples. Compared with existing algorithms, the present one may have two advantages: (a) it does not produce excessive propagation of control points because the number of additional control points is reduced; (b) it simplifies the process of judging whether an additional control point needs to be added or not, and so the final T-mesh topology can be obtained more easily.