A novel FEM-based dynamic framework for subdivision surfaces

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A novel FEM-based dynamic framework for subdivision surfaces

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ACM Symposium on Solid and Physical Modeling archive
Proceedings of the fifth ACM symposium on Solid modeling and applications table of contents

Ann Arbor, Michigan, United States

Pages: 191 - 202

Year of Publication: 1999

ISBN:1-58113-080-5

Authors

Chhandomay Mandal	Sun Microsystems, P.O. Box 407067, MS PLN02-201, Fort Lauderdale, FL
Hong Qin	Department of Computer Science, State University of New York at Stony Brook, Stony Brook, NY
Baba C. Vemuri	CISE Department, University of Florida, Gainesville, FL

Sponsor

SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques

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ACM New York, NY, USA

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Downloads (6 Weeks): 6, Downloads (12 Months): 39, Citation Count: 6

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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.

	1	A. A. Ball , D. J. T. Storry, An investigation of curvature variations over recursively generated B-spline surfaces, ACM Transactions on Graphics (TOG), v.9 n.4, p.424-437, Oct. 1990 [doi>10.1145/88560.88580]
	2	E. Catmull and J. Clark, "Recursively generated B-spline surfaces on arbitrary topological meshes," Computer Aided Design, vol. 10, no. 6, pp. 350- 355, 1978.
	3	G.M. Chaikin, "An algorithm for high speed curve generation" Computer Vision, Graphics and Image Processing, vol. 3, no. 4, pp. 346- 349, 1974.
	4	Tony DeRose , Michael Kass , Tien Truong, Subdivision surfaces in character animation, Proceedings of the 25th annual conference on Computer graphics and interactive techniques, p.85-94, July 1998 [doi>10.1145/280814.280826]
	5	D. Doo, "A subdivision algorithm for smoothing down irregularly shaped polyhedrons" in Proceedings on Interactive Techniques in Computer Aided Design, pp. 157 - 165, 1978.
	6	D. Doo and M. Sabin, "Analysis of the behavior of recursive division surfaces near extraordinary points," Computer Aided Design, vol. 10, no. 6, pp. 356- 360, 1978.
	7	Nira Dyn , David Levine , John A. Gregory, A butterfly subdivision scheme for surface interpolation with tension control, ACM Transactions on Graphics (TOG), v.9 n.2, p.160-169, April 1990 [doi>10.1145/78956.78958]
	8	Ayman Habib , Joe Warren, Edge and vertex insertion for a class of C1 subdivision surfaces, Computer Aided Geometric Design, v.16 n.4, p.223-247, May 1999 [doi>10.1016/S0167-8396(98)00045-4 ]
	9	Mark Halstead , Michael Kass , Tony DeRose, Efficient, fair interpolation using Catmull-Clark surfaces, Proceedings of the 20th annual conference on Computer graphics and interactive techniques, p.35-44, September 1993 [doi>10.1145/166117.166121]
	10	Hugues Hoppe , Tony DeRose , Tom Duchamp , Mark Halstead , Hubert Jin , John McDonald , Jean Schweitzer , Werner Stuetzle, Piecewise smooth surface reconstruction, Proceedings of the 21st annual conference on Computer graphics and interactive techniques, p.295-302, July 1994 [doi>10.1145/192161.192233]
	11	L. Kobbelt, "Interpolatory refinement by variational methods," in Approximation Theory VIII, C. Chui and L. Schumaker, Eds., vol. 2 of Wavelets and Multilevel Approximation, pp. 217 - 224, World Scientific Publishing Co., 1995.
	12	Leif Kobbelt, A variational approach to subdivision, Computer Aided Geometric Design, v.13 n.8, p.743-761, Nov. 1996 [doi>10.1016/0167-8396(96)00007-6 ]
	13	L. Kobbelt and R Schr6der, "Constructing variationally optimal curves through subdivision," Tech. Rep. CS-TR-97-05, California Institute of Technology Computer Science Department Technical Report, 1997.
	14	C. Loop, Smooth subdivision surfaces based on triangles, M.S. thesis, University of Utah, Department of Mathematics, 1987.
	15	Chhandomay Mandal , Baba C. Vemuri , Hong Qin, A dynamic framework for subdivision surfaces, 1998
	16	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
	17	C. Mandal, H. Qin and B.C. Vemuri. "Direct manipulation of butterfly subdivision surfaces : A physics-based approach," Technical Report CISE-TR-98-009, University of Florida, 1998.
	18	Jörg Peters , Ulrich Reif, The simplest subdivision scheme for smoothing polyhedra, ACM Transactions on Graphics (TOG), v.16 n.4, p.420-431, Oct. 1997 [doi>10.1145/263834.263851]
	19	Jörg Peters , Ulrich Reif, Analysis of Algorithms Generalizing B-Spline Subdivision, SIAM Journal on Numerical Analysis, v.35 n.2, p.728-748, April 1998 [doi>10.1137/S0036142996304346]
	20	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 [doi>10.1109/2945.489389 ]
	21	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 [doi>10.1109/2945.722296 ]
	22	Ulrich Reif, A unified approach to subdivision algorithms near extraordinary vertices, Computer Aided Geometric Design, v.12 n.2, p.153-174, March 1995 [doi>10.1016/0167-8396(94)00007-F ]
	23	Jean Elaine Schweitzer , Anthony D. Derose, Analysis and application of subdivision surfaces, 1996
	24	Thomas W. Sederberg , Jianmin Zheng , David Sewell , Malcolm Sabin, Non-uniform recursive subdivision surfaces, Proceedings of the 25th annual conference on Computer graphics and interactive techniques, p.387-394, July 1998 [doi>10.1145/280814.280942]
	25	Jos Stam, Exact evaluation of Catmull-Clark subdivision surfaces at arbitrary parameter values, Proceedings of the 25th annual conference on Computer graphics and interactive techniques, p.395-404, July 1998 [doi>10.1145/280814.280945]
	26	Demetri Terzopoulos , John Platt , Alan Barr , Kurt Fleischer, Elastically deformable models, Proceedings of the 14th annual conference on Computer graphics and interactive techniques, p.205-214, August 1987
	27	Denis Zorin , Peter Schröder , Wim Sweldens, Interpolating Subdivision for meshes with arbitrary topology, Proceedings of the 23rd annual conference on Computer graphics and interactive techniques, p.189-192, August 1996 [doi>10.1145/237170.237254]
	28	Denis Z orin, Smoothness of Stationary Subdivision on Irregular Meshes, Stanford University, Stanford, CA, 1998

CITED BY 6

	Ye Duan , Hong Qin, Intelligent balloon: a subdivision-based deformable model for surface reconstruction of arbitrary topology, Proceedings of the sixth ACM symposium on Solid modeling and applications, p.47-58, May 2001, Ann Arbor, Michigan, United States
	Kevin T. McDonnell , Hong Qin , Robert A. Wlodarczyk, Virtual clay: a real-time sculpting system with haptic toolkits, Proceedings of the 2001 symposium on Interactive 3D graphics, p.179-190, March 2001
	Seth Green , George Turkiyyah , Duane Storti, Subdivision-based multilevel methods for large scale engineering simulation of thin shells, Proceedings of the seventh ACM symposium on Solid modeling and applications, June 17-21, 2002, Saarbrücken, Germany
	Ye Duan , Hong Qin, A subdivision-based deformable model for surface reconstruction of unknown topology, Graphical Models, v.66 n.4, p.181-202, July 2004
	Haixia Du , Hong Qin, Dynamic PDE-based surface design using geometric and physical constraints, Graphical Models, v.67 n.1, p.43-71, January 2005
	Jing Hua , Hong Qin, Haptics-Based Dynamic Implicit Solid Modeling, IEEE Transactions on Visualization and Computer Graphics, v.10 n.5, p.574-586, September 2004