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University of Balamand > Academics > Research > Seminars > Abdulwahed Abbas

T-Splines: a closer look

Thursday, December 18, 2008 from 12:30 PM till 2:00 PM at the Jacobo Auditorium

SUBMITTED BY: Dr. Abdulwahed Abbas
University of Balamand
Department of Computer Science
abbas@balamand.edu.lb


ABSTRACT: This paper presents a variation of T-splines obtained without the need for explicit presence of edges in the T-mesh, and without sacrificing the consistency or the purpose of the local refinement process. This brings T-splines one step closer to the more liberal notion of PB-splines. Along the way, this paper offers a tutorial exposition of T-splines, recalling background and algorithmic material that is largely left implicit in the first two publications on the subject. This has the benefit of making T-splines more readily accessible and closer to analysis and implementation.

Keywords: B-Splines, NURBS, T-Splines, Knot Vectors, Basis Functions, Knot Insertion, Local Refinement.

References
  1. Abbas A., A Generic Rule-Based Formulation of Knot Insertion across CAD Applications, under review, The Journal of Computer-Aided Design and Applications, 2008.
  2. Abbas A., T-splines Local Refinement: an implementation, Technical Report 121-2007/2008, Department of Computer Science, The University of Balamand, 2008.
  3. Goldman, R. and Lyche, T. (editors), Knot Insertion and Deletion Algorithms for B-Spline Curves and Surfaces, SIAM Publication, 1993.
  4. Piegl, L. and Tiller, W., The NURBS Book, Second Edition, Springer Velag, 1997.
  5. Roger, D. F., An Introduction to NURBS with Historical Perspective, Morgan Kaufmann Publishers 2001.
  6. Sederberg, T. W., Cardon, D. L., Finnigan, G. T., North, N. S., Zheng, J., and Lyche, T., T-spline Simplification and Local Refinement, ACM Transactions on Graphics, 23(3), 2004.
  7. Sederberg, T. W., Zheng, J., Bakenov, A., and Nasri, A., T-splines and T-NURCCS, ACM Transactions on Graphics, 22(3), pp. 477-484, 2003.
  8. tsplines.com
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Lebanon

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