Abstract
This work examines the use of Loop subdivision surfaces as a surrogate for CAD or analytic-based geometry. The modeler begins by constructing a subdivision surface from a full-resolution imported surface triangulation, and then queries this surface to return information about the model.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
1. E. Catmull and J. Clark. Recursively generated b-spline surfaces on arbitrary topological meshes. Computer Aided Design, 10(6):350–355, 1978.
2. C. de Boor. A Practical Guide to Splines. Springer, 2001.
3. C. T. Loop. Smooth subdivision surfaces based on triangles. Master's thesis, Department of Mathematics, University of Utah, August 1987.
4. M. Marinov and L. Kobbelt. Optimization methods for scattered data approximation with subdivision surfaces. Graphical Models, 67(5):452–473, 2005.
5. A. Lee H. Moreton and H. Hoppe. Displaced subdivision surfaces. In ACMSIGGRAPH '2000 CDROM Proceedings, pages 85–94, 2000.
6. J. Stam. Evaluation of loop subdivision surfaces. In SIGGRAPH '98 CDROM Proceedings, 1998.
7. J. Stam. Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values. In Computer Graphics Proceedings, Annual Conference Series, pages 395–404, July 1998.
8. J. Warren. Subdivision methods for geometric design. Unpublished manuscript, November 1995.
9. D. Zorin. Subdivision and multiresolution surface representations. PhD thesis, Caltech, Pasadena, California, 1997.
10. D. Zorin and P. Schröder. Subdivision for modeling and animation. SIGGRAPH 2000 Course Notes, 2000.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer
About this paper
Cite this paper
Persson, PO., Aftosmis, M.J., Haimes, R. (2006). for Surrogate Geometry On the Use of Loop Subdivision Surfaces. In: Pébay, P.P. (eds) Proceedings of the 15th International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-34958-7_22
Download citation
DOI: https://doi.org/10.1007/978-3-540-34958-7_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-34957-0
Online ISBN: 978-3-540-34958-7
eBook Packages: EngineeringEngineering (R0)