This Article 
 Bibliographic References 
 Add to: 
A Factored Approach to Subdivision Surfaces
May/June 2004 (vol. 24 no. 3)
pp. 74-81
Joe Warren, Rice University
Scott Schaefer, Rice University
Subdivision is a technique for creating smooth shapes using a coarse polygonal model. The authors describe a unified framework for several popular subdivision schemes.

1. E. Catmull and J. Clark, "Recursively Generated B-Spline Surfaces on Arbitrary Topological Meshes," Proc. Computer-Aided Design 10, Elsevier, 1978, pp. 350-355.
2. C. Loop, Smooth Subdivision Surfaces Based on Triangles, master's thesis, Univ. of Utah, Dept. of Mathematics, 1987.
3. J. Lane and R. Riesenfeld, "A Theoretical Development for the Computer Generation and Display of Piecewise Polynomial Surfaces," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 2, no. 1, 1980, pp. 35-46.
4. J. Maillot and J. Stam, "A Unified Subdivision Scheme for Polygonal Modeling," Computer Graphics Forum (Proc. Eurographics 01), vol. 20, no. 3, 2001, pp. 471-479.
5. J. Warren and H. Weimer, Subdivision Methods for Geometric Design, Morgan Kaufmann, 2003.
6. J. Stam and C. Loop, "Quad/Triangle Subdivision," Computer Graphics Forum 22, vol. 1, Blackwell, 2003, pp. 1-7.
7. H. Hoppe et al., "Piecewise Smooth Surface Reconstruction," Proc. Siggraph, ACM Press, 1994, pp. 295-302.
8. L. Kobbelt, "Interpolatory Subdivision on Open Quadrilateral Nets with Arbitrary Topology," Computer Graphics Forum (Proc. Eurographics 96), vol. 15, no. 3, 1996, pp. 409-420.
9. D. Zorin, P. Schröder, and W. Sweldens, "Interpolating Subdivision for Meshes with Arbitrary Topology," Proc. Siggraph, ACM Press, 1996, pp. 189-192.

Joe Warren, Scott Schaefer, "A Factored Approach to Subdivision Surfaces," IEEE Computer Graphics and Applications, vol. 24, no. 3, pp. 74-81, May-June 2004, doi:10.1109/MCG.2004.1297015
Usage of this product signifies your acceptance of the Terms of Use.