Advertisement

Smooth Surface Representation over Irregular Meshes

Chapter
  • 218 Downloads
Part of the Springer Professional Computing book series (SPC)

Abstract

The previous chapter has described a number of surface representation schemes in surface modeling. These schemes, despite being popular in geometric modeling, do suffer from one important limitation: the control mesh must be structured to have a rectangular topology. This limitation has made it very awkward for many modeling tasks in computer animation, such as the modeling of branches and non-quadrilateral patches.

Keywords

Subdivision Scheme Surface Patch Computer Animation Subdivision Surface Vertex Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Ball, A.A. and Storry J.T., Conditions for tangent plane continuity over recursively defined B-spline surfaces. ACM Transactions on Graphics, 7(2), 83–102, 1988.zbMATHCrossRefGoogle Scholar
  2. Catmull, E. and Clark J., Recursively generated B-spline surfaces on arbitrary topological meshes. Computer Aided Design, 6, 350–355, 1978CrossRefGoogle Scholar
  3. Choi, B., Surface modeling for CAD/CAM, Elsevier Science, 1991Google Scholar
  4. DeRose, T., Kass, M. and Truong, T., Subdivision surfaces in character animation. Computer Graphics (SIGGRAPH′98), pp. 85–94, 1998Google Scholar
  5. Doo, D. and Sabin, M., Behaviour of recursive division surfaces near extraordinary points. Computer-Aided Design, 6, 356–360, 1978CrossRefGoogle Scholar
  6. Farin, G., Curves and Surfaces for Computer Aided Geometric Design, 3rd edn, Academic Press, 1997Google Scholar
  7. Halstead, M., Kass, M. and DeRose T., Efficient, fair interpolation using Catmull-Clark surfaces. Computer Graphics (SIGGRAPH′93), pp. 35–44, 1993Google Scholar
  8. Joy, K., On-line Geometric Modeling Notes, Computer Science Department, University of California, Davis, 1999Google Scholar
  9. Loop, C, Smooth spline surfaces over irregular meshes. Computer Graphics (SIGGRAPH′94), pp. 303–310, 1994Google Scholar
  10. Nasri, A.H., Polyhedral subdivision methods for free-form surfaces. ACM Transactions on Graphics, 6(1), 29–73, 1987zbMATHCrossRefGoogle Scholar
  11. Zhao, Y., Zhang, J.J. and Comninos, P., A deformable leg model for computer animation, The 5th World Conference on Integrated Design & Process Technology, Dallas, Texas, 2000Google Scholar

Copyright information

© Springer-Verlag London 2003

Authors and Affiliations

There are no affiliations available

Personalised recommendations