Accelerating NURBS Primitives

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If you are interested in accelerating part of the NURBS curve or surface, or in the algorithms, refer to the following papers. Be aware that the coordinate system changes in different situations.

• Abi-Ezzi, Salim. "The Graphical Processing of B-splines in a Highly Dynamic Environment," Rensselaer Polytechnic Institute, RDRC-TR 89001, Troy, New York, May 1989.
• Abi-Ezzi, Salim and Leon Shirman. "The Tessellation of Curved Surfaces Under Highly Varying Transformations," in Proc. Eurographics 1991, F. H. Post and W. Barth, eds., Eurographics Association, Elsevier Science Publishers B.V. North Holland, 1991.
• Abi-Ezzi, Salim and Leon Shirman. "The Scaling Behavior of a Viewing Transformation," accepted for publication in IEEE Computer Graphics and Applications, 1992.
• Abi-Ezzi, Salim and Michael Wozny. "Factoring a Homogeneous Transformation for a More Efficient Graphics Pipeline," in Computer Graphics Forum, Vol. 9, 1990.
• Abi-Ezzi, Salim, and Srikanth Subramaniam. "Compilation for Fast Dynamic Tesselation of Trimmed NURBS Surfaces," Unpublished, 1993.
• Farin, Gerald. Curves and Surfaces for Computer Aided Geometric Design, Second Edition, Academic Press, Inc., San Diego, CA, 1990.
• Garey, M., D. Johnson, F. Preparata, and R. Tarjan. "Triangulating a Simple Polygon," in Information Processing Letters, Vol. 7, No. 4, June 1978.

• International Standard ISO/IEC 9592-4, Information Processing Systems - Computer Graphics - Programmer's Hierarchical Interactive Graphics System (PHIGS), Part 4 - Plus Lumiere Und Surfaces, February 1991.
• Solaris XGL 3.0.1 Programmer's Guide, part number 801-4120-10, Sun Microsystems, Inc.
• Rockwood, Alyn, Kurt Heaton, and Tom Davis. "Real-Time Rendering of Trimmed Surfaces," in Computer Graphics. Proceedings of Siggraph 1989, Vol. 23, No. 3, July 1989.
• Shirman, Leon and Salim Abi-Ezzi. "The Cone of Normals for Fast Processing of Curved Patches," Submitted for publication, 1992.