Knot removal for parametric B-spline curves and surfaces
Computer Aided Geometric Design
The NURBS book
ACM SIGGRAPH 2003 Papers
T-spline simplification and local refinement
ACM SIGGRAPH 2004 Papers
Proceedings of the 2007 ACM symposium on Solid and physical modeling
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Computer-Aided Design
Technical Section: Geometry-aware domain decomposition for T-spline-based manifold modeling
Computers and Graphics
Converting an unstructured quadrilateral mesh to a standard T-spline surface
Computational Mechanics
Proceedings of the 10th International Conference on Virtual Reality Continuum and Its Applications in Industry
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This paper discusses the problem of removing control points from a T-spline control grid while keeping the surface unchanged. An algorithm is proposed to detect whether a specified control point can be removed or not and to compute the new control points if the point is removable. The algorithm can be viewed as a reverse process of the T-spline local knot insertion algorithm. The extension of the algorithm to remove more control points is also discussed.