T-splines and T-NURCCs

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Permanent URL	http://hdl.lib.byu.edu/1877/2547
Title	T-splines and T-NURCCs
BYU Creator	Sederberg, Thomas W. Zheng, Jianmin
Creator	Bakenov, Almaz Nasri, Ahmad
Keywords	B-spline surfaces; subdivision surfaces; local refinement
Description/Abstract	This paper presents a generalization of non-uniform B-spline surfaces called T-splines. T-spline control grids permit T-junctions, so lines of control points need not traverse the entire control grid. T-splines support many valuable operations within a consistent framework, such as local refinement, and the merging of several B-spline surfaces that have different knot vectors into a single gap-free model. The paper focuses on T-splines of degree three, which are C2 (in the absence of multiple knots). T-NURCCs (Non-Uniform Rational Catmull-Clark Surfaces with T-junctions) are a superset of both T-splines and Catmull-Clark surfaces. Thus, a modeling program for T-NURCCs can handle any NURBS or Catmull-Clark model as special cases. T-NURCCs enable true local refinement of a Catmull-Clark-type control grid: individual control points can be inserted only where they are needed to provide additional control, or to create a smoother tessellation, and such insertions do not alter the limit surface. T-NURCCs use stationary refinement rules and are C2 except at extraordinary points and features.
Source	T. W. Sederberg and J. Zheng and A. Bakenov and A. Nasri, "T-splines and T-NURCCS" ACM Transactions on Graphics 22(3) , pp. 477-484, 2003.;
Publisher	ACM
Date Original	2003
Date Digital	2010-09-30
Language	English eng en
Publication Type	Articles
Type	Text
Format	application/pdf
Owning Institution	Brigham Young University
BYU College	College of Physical and Mathematical Sciences
BYU Department	Computer Science
Copyright Status	(c) 2003 ACM. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in the ACM Transactions on Graphics, 22, 3, (2003), http://doi.acm.org/10.1145/1201775.882295.;
Copyright Use Information	http://www.lib.byu.edu/generic_copyright.html

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