메뉴 건너뛰기




Volumn 21, Issue 5, 2004, Pages 427-445

A finite element method for surface restoration with smooth boundary conditions

Author keywords

Curvature flow; Finite element discretization; Geometric evolution problem; Willmore flow

Indexed keywords

BOUNDARY CONDITIONS; FINITE ELEMENT METHOD; PARTIAL DIFFERENTIAL EQUATIONS;

EID: 2342475802     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2004.02.004     Document Type: Article
Times cited : (138)

References (42)
  • 1
    • 84892197297 scopus 로고    scopus 로고
    • A direct variational approach to a problem arising in image reconstruction
    • Ambrosio L., Masnou S. A direct variational approach to a problem arising in image reconstruction. Interfaces Free Bound. 5:(1):2003;63-81.
    • (2003) Interfaces Free Bound. , vol.5 , Issue.1 , pp. 63-81
    • Ambrosio, L.1    Masnou, S.2
  • 5
    • 0035842857 scopus 로고    scopus 로고
    • Variational problems and partial differential equations on implicit surfaces
    • Bertalmio M., Cheng L.-T., Osher S., Sapiro G. Variational problems and partial differential equations on implicit surfaces. J. Comput. Phys. 174:2001;759-780.
    • (2001) J. Comput. Phys. , vol.174 , pp. 759-780
    • Bertalmio, M.1    Cheng, L.-T.2    Osher, S.3    Sapiro, G.4
  • 7
    • 0037767145 scopus 로고    scopus 로고
    • Euler's elastica and curvature-based inpainting
    • Chan T.F., Kang S.H., Shen J. Euler's elastica and curvature-based inpainting. SIAM Appl. Math. 63:(2):2002;564-592.
    • (2002) SIAM Appl. Math. , vol.63 , Issue.2 , pp. 564-592
    • Chan, T.F.1    Kang, S.H.2    Shen, J.3
  • 8
    • 0038523114 scopus 로고    scopus 로고
    • On the role of the bv image model in image restoration
    • submitted for publication
    • Chan, T., Shen, J., On the role of the bv image model in image restoration. AMS Contemporary Mathematics, submitted for publication.
    • AMS Contemporary Mathematics
    • Chan, T.1    Shen, J.2
  • 11
    • 0000789992 scopus 로고
    • An algorithm for evolutionary surfaces
    • Dziuk G. An algorithm for evolutionary surfaces. Numer. Math. 58:1991;603-611.
    • (1991) Numer. Math. , vol.58 , pp. 603-611
    • Dziuk, G.1
  • 13
    • 2042498259 scopus 로고    scopus 로고
    • Curves and surfaces for computer-aided geometric design, fourth ed.
    • San Diego, CA: Academic Press
    • Farin G. Curves and surfaces for computer-aided geometric design. fourth ed Computer Science and Scientific Computing. 1997;Academic Press, San Diego, CA.
    • (1997) Computer Science and Scientific Computing
    • Farin, G.1
  • 21
    • 0035289434 scopus 로고    scopus 로고
    • The Willmore flow with small initial energy
    • Kuwert E., Schätzle R. The Willmore flow with small initial energy. J. Differential Geom. 57:(3):2001;409-441.
    • (2001) J. Differential Geom. , vol.57 , Issue.3 , pp. 409-441
    • Kuwert, E.1    Schätzle, R.2
  • 22
    • 0038779042 scopus 로고    scopus 로고
    • Gradient flow for the Willmore functional
    • Kuwert E., Schätzle R. Gradient flow for the Willmore functional. Comm. Anal. Geom. 10:(2):2002;307-339.
    • (2002) Comm. Anal. Geom. , vol.10 , Issue.2 , pp. 307-339
    • Kuwert, E.1    Schätzle, R.2
  • 25
    • 0002651956 scopus 로고
    • Elastica and computer vision
    • C. Bajaj. New York: Springer
    • Mumford D. Elastica and computer vision. Bajaj C. Algebraic Geometry and Its Applications. 1994;491-506 Springer, New York.
    • (1994) Algebraic Geometry and Its Applications , pp. 491-506
    • Mumford, D.1
  • 28
    • 0001851007 scopus 로고
    • Boundary value problems for variational integrals involving surfaces curvatures
    • Nitsche J.C.C. Boundary value problems for variational integrals involving surfaces curvatures. Quaterly Appl. Math. LI:(2):1993;363-387.
    • (1993) Quaterly Appl. Math. , vol.51 , Issue.2 , pp. 363-387
    • Nitsche, J.C.C.1
  • 29
    • 2342513860 scopus 로고
    • Periodic surfaces that are extremal for energy functionals containing curvature functions
    • H. Davis, & J. Nitsche. Proc. Workshop Statistical Thermodynamics and Differential Geometry of Microstructured Materials. Berlin: Springer
    • Nitsche J. Periodic surfaces that are extremal for energy functionals containing curvature functions. Davis H., Nitsche J. Proc. Workshop Statistical Thermodynamics and Differential Geometry of Microstructured Materials. IMA vol. in Math. and its Appl. 1993;Springer, Berlin.
    • (1993) IMA Vol. in Math. and Its Appl.
    • Nitsche, J.1
  • 33
    • 0001395499 scopus 로고    scopus 로고
    • Discrete fairing of curves and surfaces based on linear curvature distribution
    • Schneider R., Kobbelt L. Discrete fairing of curves and surfaces based on linear curvature distribution. Curve and Surface Design: Saint-Malo. 1999;371-380.
    • (1999) Curve and Surface Design: Saint-Malo , pp. 371-380
    • Schneider, R.1    Kobbelt, L.2
  • 36
    • 2342561482 scopus 로고    scopus 로고
    • Geometric surface processing via normal maps
    • submitted for publication
    • Tasdizen, T., Whitaker, R., Burchard, P., Osher, S., Geometric surface processing via normal maps. ACM TOG, submitted for publication.
    • ACM TOG
    • Tasdizen, T.1    Whitaker, R.2    Burchard, P.3    Osher, S.4
  • 42
    • 84963815816 scopus 로고    scopus 로고
    • Fair triangle mesh generation with discrete elastica
    • Saitama, Japan: RIKEN
    • Yoshizawa S., Belyaev A. Fair triangle mesh generation with discrete elastica. Geometric Modeling and Processing. 2002;119-123 RIKEN, Saitama, Japan.
    • (2002) Geometric Modeling and Processing , pp. 119-123
    • Yoshizawa, S.1    Belyaev, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.