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Volumn 2005, Issue , 2005, Pages 196-204

Curvature-based energy for simulation and variational modeling

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; COST ACCOUNTING; FINITE ELEMENT METHOD; LOADS (FORCES); MATHEMATICAL MODELS;

EID: 33846078647     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SMI.2005.14     Document Type: Conference Paper
Times cited : (21)

References (42)
  • 1
    • 84855567374 scopus 로고    scopus 로고
    • D. Baraff and A. P. Witkin. Large steps in cloth simulation. In Proceedings of SIGGRAPH 98, Computer Graphics Proceedings, Annual Conference Series, pages 43-54, July 1998.
    • D. Baraff and A. P. Witkin. Large steps in cloth simulation. In Proceedings of SIGGRAPH 98, Computer Graphics Proceedings, Annual Conference Series, pages 43-54, July 1998.
  • 3
    • 0014709498 scopus 로고
    • The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell
    • Jan
    • P. B. Canham. The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell. J. Theor Biol., 36(1):68-81, Jan 1970.
    • (1970) J. Theor Biol , vol.36 , Issue.1 , pp. 68-81
    • Canham, P.B.1
  • 4
    • 2342475802 scopus 로고    scopus 로고
    • A finite element method for surface restoration with smooth boundary conditions
    • 427-445
    • U. Clarenz, U. Diewald, G. Dziuk, M. Rumpf, and R. Rusu. A finite element method for surface restoration with smooth boundary conditions. Comput. Aided Geom. Design, 21(5):427-445, 2004. 0167-8396.
    • (2004) Comput. Aided Geom. Design , vol.21 , Issue.5 , pp. 0167-8396
    • Clarenz, U.1    Diewald, U.2    Dziuk, G.3    Rumpf, M.4    Rusu, R.5
  • 6
    • 0029234194 scopus 로고
    • From the individual element test to finite element templates: Evolution of the patch test
    • ø 0029-5981
    • C. A. Felippa, B. Haugen, and C. Militello. From the individual element test to finite element templates: evolution of the patch test. Internat. J. Numer. Methods Engrg., 38(2): 199-229, 1995. ø 0029-5981.
    • (1995) Internat. J. Numer. Methods Engrg , vol.38 , Issue.2 , pp. 199-229
    • Felippa, C.A.1    Haugen, B.2    Militello, C.3
  • 7
    • 33846097883 scopus 로고    scopus 로고
    • S. Germain. Recherches sur la theorie de surfaces elastiques. Mme. V. Courcier, Paris, 1821.
    • S. Germain. Recherches sur la theorie de surfaces elastiques. Mme. V. Courcier, Paris, 1821.
  • 8
    • 84930244279 scopus 로고
    • Über das Gleichgewicht und die Bewegung einer elastichen Scheibe
    • G.Kirchhoff. Über das Gleichgewicht und die Bewegung einer elastichen Scheibe. Grelles J., 40:51-88, 1850.
    • (1850) Grelles J , vol.40 , pp. 51-88
    • Kirchhoff, G.1
  • 9
    • 12444259267 scopus 로고    scopus 로고
    • A novel cubic-order algorithm for approximating principal direction vectors
    • Jan
    • J. Goldfeather and V. Interrante. A novel cubic-order algorithm for approximating principal direction vectors. ACM Transactions on Graphics, 23(1):45-63, Jan. 2004.
    • (2004) ACM Transactions on Graphics , vol.23 , Issue.1 , pp. 45-63
    • Goldfeather, J.1    Interrante, V.2
  • 10
    • 84989569856 scopus 로고
    • Variational design and fairing of spline surfaces
    • G. Greiner. Variational design and fairing of spline surfaces. Computer Graphics Forum, 13(3): 143-154, 1994.
    • (1994) Computer Graphics Forum , vol.13 , Issue.3 , pp. 143-154
    • Greiner, G.1
  • 12
    • 84943997802 scopus 로고
    • Elastic properties of bilayers: Theory and possible experiments
    • W. Helfrich. Elastic properties of bilayers: Theory and possible experiments. Z. Naturforsch., 28c:693-703, 1973.
    • (1973) Z. Naturforsch , vol.28 c , pp. 693-703
    • Helfrich, W.1
  • 13
    • 0003734307 scopus 로고
    • Finite element bending analysis of plates
    • L. R. Hermann. Finite element bending analysis of plates. J. Eng. Mech. Div., 93:13-25, 1967.
    • (1967) J. Eng. Mech. Div , vol.93 , pp. 13-25
    • Hermann, L.R.1
  • 14
    • 33749356037 scopus 로고    scopus 로고
    • On the convergence of metric and geometric properties of polyhedral surfaces
    • Submitted for publication
    • K. Hildebrandt, K. Polthier, and M. Wardetzky. On the convergence of metric and geometric properties of polyhedral surfaces. Submitted for publication, 2005.
    • (2005)
    • Hildebrandt, K.1    Polthier, K.2    Wardetzky, M.3
  • 15
    • 0346167600 scopus 로고
    • Minimizing the squared mean curvature integral for surfaces in space forms
    • L. Hsu, R. Kusner, and J. Sullivan. Minimizing the squared mean curvature integral for surfaces in space forms. Experiment. Math., 1(3): 191-207, 1992. 1058-6458.
    • (1992) Experiment. Math , vol.1 , Issue.3
    • Hsu, L.1    Kusner, R.2    Sullivan, J.3
  • 16
    • 0020815898 scopus 로고    scopus 로고
    • B. Irons and M. Loikkanen. An engineers' defence of the patch test. Internat. J. Numer. Methods Engrg., 19(9): 1391-1401, 1983. 0029-5981.
    • B. Irons and M. Loikkanen. An engineers' defence of the patch test. Internat. J. Numer. Methods Engrg., 19(9): 1391-1401, 1983. 0029-5981.
  • 19
    • 0003086431 scopus 로고    scopus 로고
    • Discrete fairing
    • Dundee, Info. Geom, Winchester
    • L. Kobbelt. Discrete fairing. The mathematics of surfaces, VII (Dundee, 1996), pages 101-129, 1997. Info. Geom., Winchester.
    • (1996) The mathematics of surfaces , vol.7 , pp. 101-129
    • Kobbelt, L.1
  • 20
    • 0001839710 scopus 로고
    • A consistent first approximation in the general theory of thin elastic shells
    • North-Holland, Amsterdam
    • W. T. Koiter. A consistent first approximation in the general theory of thin elastic shells. In Proc. Sympos. Thin Elastic Shells (Delft, 1959), pages 12-33. North-Holland, Amsterdam, 1960.
    • (1960) Proc. Sympos. Thin Elastic Shells (Delft, 1959) , pp. 12-33
    • Koiter, W.T.1
  • 22
    • 33846045771 scopus 로고
    • The small free vibrations and deformation of a thin elastic shell
    • A. E. H. Love. The small free vibrations and deformation of a thin elastic shell. Phil. Trans., 179, 1988.
    • (1988) Phil. Trans , vol.179
    • Love, A.E.H.1
  • 23
    • 4644242396 scopus 로고    scopus 로고
    • Discrete differential-geometry operators for triangulated 2-manifolds
    • H.-C. Hege and K. Polthier, editors, Springer-Verlag, Heidelberg
    • M. Meyer, M. Desbrun, P. Schröder, and A. H. Barr. Discrete differential-geometry operators for triangulated 2-manifolds. In H.-C. Hege and K. Polthier, editors, Visualization and Mathematics III, pages 35-57. Springer-Verlag, Heidelberg, 2003.
    • (2003) Visualization and Mathematics , vol.3 , pp. 35-57
    • Meyer, M.1    Desbrun, M.2    Schröder, P.3    Barr, A.H.4
  • 24
    • 0015000553 scopus 로고
    • On the constant moment plate bending element
    • L. S. D. Morley. On the constant moment plate bending element. Journal of Strain Analysis, 6:10, 1971.
    • (1971) Journal of Strain Analysis , vol.6 , pp. 10
    • Morley, L.S.D.1
  • 26
    • 0027811864 scopus 로고
    • Derivation of thin plate bending elements with one degree of freedom per node
    • E. Oñate and M. Cervera. Derivation of thin plate bending elements with one degree of freedom per node. Engineering Computations, 10:543, 1993.
    • (1993) Engineering Computations , vol.10 , pp. 543
    • Oñate, E.1    Cervera, M.2
  • 27
    • 0033897754 scopus 로고    scopus 로고
    • E. Oñate and F. Zrate. Rotation-free triangular plate and shell elements. Internat. J. Numer. Methods Engrg., 47(1-3):557-603, 2000. n a Richard H. Gallagher Memorial Issue 0029-5981.
    • E. Oñate and F. Zrate. Rotation-free triangular plate and shell elements. Internat. J. Numer. Methods Engrg., 47(1-3):557-603, 2000. n a Richard H. Gallagher Memorial Issue 0029-5981.
  • 28
    • 84950826016 scopus 로고
    • Computing discrete minimal surfaces and their conjugates
    • 15-36
    • U. Pinkall and K. Polthier. Computing discrete minimal surfaces and their conjugates. Experiment. Math., 2(1):15-36, 1993. 1058-6458.
    • (1993) Experiment. Math , vol.2 , Issue.1 , pp. 1058-6458
    • Pinkall, U.1    Polthier, K.2
  • 29
    • 0035338956 scopus 로고    scopus 로고
    • Geometric fairing of irregular meshes for free-form surface design
    • 359-379
    • R. Schneider and L. Kobbelt. Geometric fairing of irregular meshes for free-form surface design. Comput. Aided Geom. Design, 18(4):359-379, 2001. 0167-8396.
    • (2001) Comput. Aided Geom. Design , vol.18 , Issue.4 , pp. 0167-8396
    • Schneider, R.1    Kobbelt, L.2
  • 31
    • 0003552714 scopus 로고
    • An analysis of the finite element method
    • Prentice-Hall Inc, Englewood Cliffs, N. J
    • G. Strang and G. J. Fix. An analysis of the finite element method. Prentice-Hall Inc., Englewood Cliffs, N. J., 1973. Prentice-Hall Series in Automatic Computation.
    • (1973) Prentice-Hall Series in Automatic Computation
    • Strang, G.1    Fix, G.J.2
  • 32
    • 33846059996 scopus 로고    scopus 로고
    • F. Stummel. The generalized patch test. SIAM J. Numer. Anal., 16(3):449-471, 1979. 0036-1429.
    • F. Stummel. The generalized patch test. SIAM J. Numer. Anal., 16(3):449-471, 1979. 0036-1429.
  • 34
    • 0035322470 scopus 로고    scopus 로고
    • M. Wang. On the necessity and sufficiency of the patch test for convergence of nonconforming finite elements. SIAM J. Numer. Anal., 39(2):363-384 (electronic), 2001. 1095-7170.
    • M. Wang. On the necessity and sufficiency of the patch test for convergence of nonconforming finite elements. SIAM J. Numer. Anal., 39(2):363-384 (electronic), 2001. 1095-7170.
  • 36
    • 85024734580 scopus 로고    scopus 로고
    • W. Welch and A. Witkin. Free-form shape design using triangulated surfaces. In Proceedings of SIGGRAPH 94, Computer Graphics Proceedings, Annual Conference Series, pages 247-256, July 1994.
    • W. Welch and A. Witkin. Free-form shape design using triangulated surfaces. In Proceedings of SIGGRAPH 94, Computer Graphics Proceedings, Annual Conference Series, pages 247-256, July 1994.
  • 38
    • 0004265477 scopus 로고
    • Oxford Science Publications. The Clarendon Press Oxford University Press, New York
    • T. J. Willmore. Riemannian geometry. Oxford Science Publications. The Clarendon Press Oxford University Press, New York, 1993.
    • (1993) Riemannian geometry
    • Willmore, T.J.1
  • 39
    • 10644251727 scopus 로고    scopus 로고
    • Convergence of discrete Laplace-Beltrami operators over surfaces
    • G. Xu. Convergence of discrete Laplace-Beltrami operators over surfaces. Comput. Math. Appl., 48(3-4):347-360, 2004.
    • (2004) Comput. Math. Appl , vol.48 , Issue.3-4 , pp. 347-360
    • Xu, G.1
  • 42
    • 33846095562 scopus 로고    scopus 로고
    • Computing discrete curvature-based energy
    • in preparation
    • D. Zorin and E. Grinspun. Computing discrete curvature-based energy, in preparation.
    • Zorin, D.1    Grinspun, E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.