Linear constraints for deformable non-uniform B-spline surfaces

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Linear constraints for deformable non-uniform B-spline surfaces

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Symposium on Interactive 3D Graphics archive
Proceedings of the 1992 symposium on Interactive 3D graphics table of contents

Cambridge, Massachusetts, United States

Pages: 165 - 170

Year of Publication: 1992

ISBN:0-89791-467-8

Authors

George Celniker
Will Welch

Sponsors

NSF : National Science Foundation
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

Publisher

ACM New York, NY, USA

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Downloads (6 Weeks): 8, Downloads (12 Months): 75, Citation Count: 12

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references cited by index terms collaborative colleagues

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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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	2	M. I. G. Bloor , M. J. Wilson, Blend design as a boundary-value problem, Theory and practice of geometric modeling, Springer-Verlag New York, Inc., New York, NY, 1989
	3	George Celniker , Dave Gossard, Deformable curve and surface finite-elements for free-form shape design, Proceedings of the 18th annual conference on Computer graphics and interactive techniques, p.257-266, July 1991
	4	Celniker G., ShapeWright: Finite Element Based Free- Form Shape Design, M.I.T. Ph.D., Dept. of Mechanical Engineering, September, 1990
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	8	Kramer, Glen A., Solving Geometric Constraint Systems: A case study in kinematic, MIT Press, 1991, Cambridge Mass.
	9	Lancos Cornelius, The variational Principles of Mechanics", 4th Edition, Dover,. 1970
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	12	Nowacki, H. and Reese, D., "Design and fairing of ship surfaces", in Bamhill R.E. and Boehm, W. (eds), Surfaces in CAGD, Nor~-Holland, Amsterdam, pp 121- 134, 1983
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	17	Serano, D. and Gossard, D.C., "Constraint Management: A prerequisite to Conceptual Design", in Knowledge Based Expert Systems in Engineering: Planning and Design, Sriram, D. and Adey, R.A., editors, Computational Mechanics Publications, UK, 1987
	18	Strang, Gilbert, Introduction to Applied Mathematics, Wellesley-Cambridge Press, Massachusetts, 1986
	19	Welch, W., and Gleicher, M. and Witkin, A., "Manipulating surfaces differentially", proceedings Compugraphics 91 (Springer Verlog) also Carnegie Mellon Technical report CMU-CS-91-75
	20	Andrew Witkin , Kurt Fleischer , Alan Barr, Energy constraints on parameterized models, Proceedings of the 14th annual conference on Computer graphics and interactive techniques, p.225-232, August 1987
	21	Demetri Terzopoulos , John Platt , Alan Barr , Kurt Fleischer, Elastically deformable models, ACM SIGGRAPH Computer Graphics, v.21 n.4, p.205-214, July 1987
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CITED BY 12

	Frank Dachille, IX , Hong Qin , Arie Kaufman , Jihad El-Sana, Haptic sculpting of dynamic surfaces, Proceedings of the 1999 symposium on Interactive 3D graphics, p.103-110, April 26-29, 1999, Atlanta, Georgia, United States
	Demetri Terzopoulos , Hong Qin, Dynamic NURBS with geometric constraints for interactive sculpting, ACM Transactions on Graphics (TOG), v.13 n.2, p.103-136, April 1994
	Hong Qin , Demetri Terzopoulos, D-NURBS: A Physics-Based Framework for Geometric Design, IEEE Transactions on Visualization and Computer Graphics, v.2 n.1, p.85-96, March 1996
	William Welch , Andrew Witkin, Variational surface modeling, ACM SIGGRAPH Computer Graphics, v.26 n.2, p.157-166, July 1992
	Chhandomay Mandal , Hong Qin , Baba C. Vemuri, Dynamic smooth subdivision surfaces for data visualization, Proceedings of the 8th conference on Visualization '97, p.371-ff., October 18-24, 1997, Phoenix, Arizona, United States
	William Welch , Andrew Witkin, Free-form shape design using triangulated surfaces, Proceedings of the 21st annual conference on Computer graphics and interactive techniques, p.247-256, July 1994
	Gershon Elber , Elaine Cohen, Filleting and rounding using trimmed tensor product surfaces, Proceedings of the fourth ACM symposium on Solid modeling and applications, p.206-216, May 14-16, 1997, Atlanta, Georgia, United States
	Pavel Kagan , Anath Fischer , Pinhas Z. Bar-Yoseph, Integrated mechanically based CAE system, Proceedings of the fifth ACM symposium on Solid modeling and applications, p.23-30, June 08-11, 1999, Ann Arbor, Michigan, United States
	Hong Qin , Chhandomay Mandal , Baba C. Vemuri, Dynamic Catmull-Clark Subdivision Surfaces, IEEE Transactions on Visualization and Computer Graphics, v.4 n.3, p.215-229, July 1998
	Chhandomay Mandal , Hong Qin , Baba C. Vemuri, Dynamic Modeling of Butterfly Subdivision Surfaces, IEEE Transactions on Visualization and Computer Graphics, v.6 n.3, p.265-287, July 2000
	Alan M. Shih , Tzu-Yi Yu , Sankarappan Gopalsamy , Yasushi Ito , Bharat Soni, Geometry and mesh generation for high fidelity computational simulations using non-uniform rational B-splines, Applied Numerical Mathematics, v.55 n.3, p.368-381, November 2005
	Basile Sauvage , Stefanie Hahmann , Georges-Pierre Bonneau , Gershon Elber, Detail preserving deformation of B-spline surfaces with volume constraint, Computer Aided Geometric Design, v.25 n.8, p.678-696, November, 2008