| Dynamic manipulation of triangular B-splines |
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ACM Symposium on Solid and Physical Modeling
archive
Proceedings of the third ACM symposium on Solid modeling and applications
table of contents
Salt Lake City, Utah, United States
Pages: 351 - 360
Year of Publication: 1995
ISBN:0-89791-672-7
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Authors
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Hong Qin
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Department of Computer Science, University of Toronto, 10 King's College Road, Toronto, Ontario, Canada, M5S 1A4
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Demetri Terzopoulos
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Department of Computer Science, University of Toronto, 10 King's College Road, Toronto, Ontario, Canada, M5S 1A4
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| Bibliometrics |
Downloads (6 Weeks): 5, Downloads (12 Months): 20, Citation Count: 5
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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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J. Baumgarte. Stabilization of constraints and integrals of motion in dynamical systems. Comp. Meth. in Appl. Mech. andEng., 1:1-16, 1972.
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W. Dahmen and C. Micchelli. On the linear independence of multivariate B-splines, 1. triangulations of simploids. SIAM J. Numer Anal., 19(5):993-1012, 1982.
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W. Dahmen and C. Micchelli. Recent progress in multivariate splines. In C.K. Chui, L.L. Schumaker, and J.D. Ward, editors, Approximation Theory IV, pages 27-121. Academic Press, New York, 1983.
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W. Dahmen, C. Micchelli, and H.-P. Seidel. Blossoming begets B-spline bases built better by B-patches. Mathematics of Computation, 59(199):97-i 15, I992.
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C. de Boor. Splines as linear combinations of B-splines. In G. Lorentz, C. Chui, and L.L. Schumaker, editors, Approximation Theor)' II, pages 1--47. Academic Press, New York, 1976.
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B.R. Gossick. Hamilton's Principle and Physical Systems. Academic Press, New York and London, 1967.
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T. Grandine. The stable evaluation of multivariate simplex splines. Mathematics of Computation, 50(181 ):197-205, 1988.
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K. Hollig. Multivariate splines. SIAM J. Numer Anal., 19(5):1013-1031, 1982.
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C.A. Micchelli. On a numerically efficient method for computing with multivariate B-splines. In W. Schempp and K. Zeller, editors, Multivariate Approximation Theory, pages 211-248. Birkhauser, Basel, 1979.
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M. Minoux. Mathematical Programming. Wiley, New York, 1986.
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H. Qin and D. Terzopoulos. Dynamic NURBS swung surfaces for physics-basedshape design. ComputerAidedDesign, 27(2), 1995. in press.
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G. Strang. Introduction to Applied Mathematics. Wellesley- Cambridge Press, MA, 1986.
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D. Terzopoulos and K. Fleischer. Deformable models. The ~isual Computer, 4(6):306-331, 1988.
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C. Traas. Practice ofbivariate simplicial splines. In W. Dahmen et al, editor, Computation of Curves and Surfaces, pages 383- 422. Kluwer Academic Publishers, 1990.
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CITED BY 5
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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
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Gentaro Hirota , Renee Maheshwari , Ming C. Lin, Fast volume-preserving free form deformation using multi-level optimization, Proceedings of the fifth ACM symposium on Solid modeling and applications, p.234-245, June 08-11, 1999, Ann Arbor, Michigan, United States
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INDEX TERMS
Primary Classification:
I.
Computing Methodologies
I.3
COMPUTER GRAPHICS
I.3.5
Computational Geometry and Object Modeling
Subjects:
Curve, surface, solid, and object representations
Additional Classification:
F.
Theory of Computation
F.2
ANALYSIS OF ALGORITHMS AND PROBLEM COMPLEXITY
F.2.2
Nonnumerical Algorithms and Problems
Subjects:
Geometrical problems and computations
H.
Information Systems
H.5
INFORMATION INTERFACES AND PRESENTATION (I.7)
H.5.2
User Interfaces (D.2.2, H.1.2, I.3.6)
Subjects:
Interaction styles (e.g., commands, menus, forms, direct manipulation)
I.
Computing Methodologies
I.3
COMPUTER GRAPHICS
I.3.5
Computational Geometry and Object Modeling
Subjects:
Geometric algorithms, languages, and systems
J.
Computer Applications
J.6
COMPUTER-AIDED ENGINEERING
Subjects:
Computer-aided design (CAD)
General Terms:
Algorithms,
Design
Keywords:
CAGD,
constraint-based design,
dynamics,
finite elements,
parametric design,
solid modeling,
triangular B-splines,
user interaction techniques
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