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Smoothing polyhedra using implicit algebraic splines
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Source International Conference on Computer Graphics and Interactive Techniques archive
Proceedings of the 19th annual conference on Computer graphics and interactive techniques table of contents
Pages: 79 - 88  
Year of Publication: 1992
ISBN:0-89791-479-1
Also published in ...
Authors
Chandrajit L. Bajaj  Department of Computer Sciences, Purdue University, West Lafayette, Indiana
Insung Ihm  Department of Computer Sciences, Purdue University, West Lafayette, Indiana
Sponsor
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 5,   Downloads (12 Months): 49,   Citation Count: 12
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REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
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Anupam, A., and Bajaj, C., and Royappa, A. The SHAS- TRA Distributed and Collaborative Geometric Design Environment. Computer Science Technical Report, CAPO-91-38, Purdue University, 1991.
 
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Bajaj, C. Electronic Skeletons: Modeling Skeletal Structures with Piecewise Algebraic Surfaces. In Curves and Surfaces in Computer Vision and Graphics 11, pages 230-237, Boston, MA, 1991.
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Chui, C. Multivariate Splines. Regional Conference Series in Applied Mathematics, 1988.
 
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Dahmen, W. and Michelli, C. Recent Progress in Multivariate Splines. In L. Schumaker C. Chui and J. Word, editors, Approximation Theory IV, pages 27-121. Academic Press, 1983.
 
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deBoor, C., and Hollig, K., and Sabin, M. High Accuracy Geometric Hermite Interpolation, Computer Aided Geometric Design, 4(00):269-278, 1987.
 
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Golub, G., and Van Loan, C. Matrix Computation. The Johns Hopkins Univ. Press, Baltimore, MD, 1983.
 
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Gregory, J., and Charrot, P. A C'l Triangular Interpolation Patch for Computer Aided Geometric Design. Computer Graphics and Image Processing, 13:80-87, 1980.
 
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Hollig, K. Multivariate Splines. SIAM J. on Numerical Analysis, 19:1013-1031, 1982.
 
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Lee, E. The rational B6zier representation for conics. In G. Farin, editor, Geometric Modeling : Algorithms and New Trends, pages 3-19. SIAM, Philadelphia, 1987.
 
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Moore, D., and Warren, J. Approximation of dense scattered data using algebraic surfaces. In Proc. of the 24th Hawaii Intl. Conference on System Sciences, pages 681-690, Kauai, Hawaii, 1991.
 
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Nielson, G. A Transfinite Visually Continuous Triangular lnterpolant. In O. Farin, editor, Geometric Modeling Applications and New Trends. SIAM, 1986.
 
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Patrikalakis, N., and Kriezis, G. Representation of piecewise continuous algebraic surfaces in terms of B-splines. The V/sua/ Computer, 5(6):360-374, Dec. 1989.
 
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Peters, j. Smooth interpolation of a mesh of curves. Constructive Approximation, 7:221-246,1991.
 
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Peters, J. Parametrizing singularly to enclose data points by a smooth parametric surface. In Proc. of Graphics Interface, Calgary, Alberta, June 1991. Graphics Interface '91.
 
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Piper, B. Visually Smooth Interpolation with Triangular Bezier Patches. In G. Farin, editor, Geometric Modeling: Algorithms and New Trends. SIAM, 1987.
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Ramshaw, L. Beziers and B-splines as Multiaf6ne Maps. In Theoretical Foundations of Computer Graphics and CAD. Springer Verlag, 1988.
 
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Sederberg, T. Piecewise Algebraic Surface Patches. Computer Aided Geometric Design, 2:53-59,1985.
 
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Semple, J., and Roth, L. Introduction to Algebraic Geometry. Oxford University Press, Oxford, U.K., 1949.
 
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Shirman, L., and Sequin, C. Local Surface Interpolation with Bezier Patches. Computer Aided Geometric Design, 4:279- 295, 1987.
 
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Walker, R. Algebraic Curves. Springer Verlag, New York, 1978.

CITED BY  12

Collaborative Colleagues:
Chandrajit L. Bajaj: colleagues
Insung Ihm: colleagues