The Community for Technology Leaders
RSS Icon
Issue No.01 - January/February (1991 vol.11)
pp: 72-79
<p>A modified formulation of oriented boxing called oriented slab boxing is presented. It almost doubles the speed of the oriented boxing component in B-spline intersection. The method used to accelerate B-spline intersection includes algorithmic improvements and parallelization of the algorithm at different levels of granularity to find an optimum solution on a network of parallel processors. The software testbed is linked to a B-spline-based library, which is a prototype of what may be used in an actual engineering design environment. A parallel implementation of the algorithm on a network of three processors achieves an additional twofold improvement in speed.</p>
Jonathan Yen, Susan Spach, Mark Smith, Ron Pulleyblank, "Parallel Boxing in B-Spline Intersection", IEEE Computer Graphics and Applications, vol.11, no. 1, pp. 72-79, January/February 1991, doi:10.1109/38.67703
1. G. Wang, "The Subdivision Method for Finding the Intersection Between Two Bezier Curves or Surfaces,"Zhejiang Univ. J., Special Issue on Computational Geometry, 1984, pp. 108-119.
2. S.W. Thomas,Modelling Volumes Bounded by B-Spline Surfaces, doctoral dissertation, Univ. of Utah, Salt Lake City, 1984.
3. Q.S. Peng, "An Algorithm for Finding the Intersection Lines Between Two B-Spline Surfaces,"Computer-Aided Design, Vol. 16, No. 4, July 1984, pp. 191-196.
4. T. Dokken, "Finding Intersections of B-Spline Represented Geometries Using Recursive Subdivision Techniques,"Computer Aided Geometric Design, Vol. 2, No. 1-3, Sept. 1985, pp. 189-195.
5. E.G. Houghton et al., "Implementation of a Divide-and-Conquer Method for Intersection of Parametric Surfaces,"Computer Aided Geometric Design, Vol. 2, No. 1-3, Sept. 1985, pp.173-183.
6. D.J. Filip, R.P. Markot, and R.L. Magedson, "Surface Algorithms Using Bounds on Derivatives,"Computer Aided Geometric Design, Vol. 3, 1987, pp. 295-311.
7. M.J. Pratt and A.D. Geisow, "Surface/Surface Intersection Problems," inThe Mathematics of Surfaces, J.A. Gregory, ed.. Oxford Univ. Press, Oxford, UK, 1986, pp. 117-142.
8. R.E. Barnhill et al., "Surface/Surface Intersection,"Computer Aided Geometric Design, Vol. 4, No. 1-2, July 1987, pp. 3-16.
9. S. Katz and T. Sederberg, "Genus of the Intersection Curve of Two Rational Surface Patches,"Computer Aided Geometric Design, Vol. 5, No. 3, Sept. 1988, pp. 253-258.
10. W.J. Gordon and R.F. Riesenfeld, "B-Spline Curves and Surfaces," inComputer Aided Geometric Design, Academic Press, New York, 1974, pp. 95-126.
11. T. Kay and J.T. Kajiya, "Ray Tracing Complex Scenes,"Computer Graphics(Proc. SIGGRAPH), July 1986, pp. 269-278.
12. J. Yen et al., "A First Step Toward Parallel Processing for B-Spline Surface Intersection Calculation,"Proc. Int'l Conf CAD and Computer Graphics. Beijing, International Academic Publishers, Beijing, 1989, pp. 209-215.
18 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool