NURBS-compatible subdivision surfaces
Related publications
- NURBS with Extraordinary Points: High-degree, Non-uniform, Rational Subdivision Schemes
Thomas J. Cashman, Ursula H. Augsdörfer, Neil A. Dodgson and Malcolm A. Sabin
The project page contains a sample implementation, video, and other auxiliary materials.
PDF (7.0 MB). ACM Digital Library
ACM Transactions on Graphics 28(3), pp. #46, 1-9, Proc. SIGGRAPH 2009. - Selective knot insertion for symmetric, non-uniform refine and smooth B-spline subdivision
Thomas J. Cashman, Neil A. Dodgson and Malcolm A. Sabin
PDF (preprint) (151.3 KB). ScienceDirect
Computer Aided Geometric Design 26(4), pp. 472-479, 2009. - A symmetric, non-uniform, refine and smooth subdivision algorithm for general degree B-splines
Thomas J. Cashman, Neil A. Dodgson and Malcolm A. Sabin
PDF (preprint) (378.9 KB). ScienceDirect
Computer Aided Geometric Design 26(1), pp. 94-104, 2009. - Numerical Checking of C1 for Arbitrary Degree Quadrilateral Subdivision Schemes
Ursula H. Augsdörfer, Thomas J. Cashman, Neil A. Dodgson and Malcolm A. Sabin
Springer LNCS Online
E. Hancock, R. Martin, M. Sabin (Eds.): Mathematics of Surfaces 2009, LNCS 5654, pp. 45–54, 2009. © Springer-Verlag Berlin Heidelberg 2009 - Non-uniform B-Spline Subdivision Using Refine and Smooth
Thomas J. Cashman, Neil A. Dodgson and Malcolm A. Sabin
PDF (preprint) (637.9 KB). Springer LNCS Online
R. Martin, M. Sabin, J. Winkler (Eds.): Mathematics of Surfaces 2007, LNCS 4647, pp. 121–137, 2007. © Springer-Verlag Berlin Heidelberg 2007
Talks
- NURBS with Extraordinary Points
Workshop on Industry Challenges in Geometric Modeling, CAD and Simulation
Fraunhofer IGD, Darmstadt, 12th March 2009
PDF (1.6 MB) - Towards NURBS-Compatible Subdivision
Workshop on Subdivision and Refinability, Siena, 1st – 4th May 2008
PDF (2.4 MB) - Non-uniform B-Spline Subdivision Using Refine and Smooth
Mathematics of Surfaces XII, 4th September 2007
PDF (1022.4 KB)
As presented to the Numerical Analysis Group at DAMTP, 8th November 2007
PDF (4.0 MB) (these slides contain more background and mathematical detail)