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Volumn 22, Issue 7 SPEC. ISS., 2005, Pages 632-658

Curvature formulas for implicit curves and surfaces

Author keywords

Curvature; Gaussian curvature; Gradient; Hessian; Implicit curves; Implicit surface; Mean curvature; Torsion

Indexed keywords

DIFFERENTIAL EQUATIONS; PARAMETER ESTIMATION; TORSIONAL STRESS;

EID: 24644498166     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cagd.2005.06.005     Document Type: Conference Paper
Times cited : (407)

References (20)
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    • P. Dombrowski Krummungsgrossen gleichungsdefinierter Untermannigfaltigkeiten Riemannscher Mannigfaltigkeiten Math. Nachr. 38 1968 133 180
    • (1968) Math. Nachr. , vol.38 , pp. 133-180
    • Dombrowski, P.1
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    • W. Fulton Algebraic Curves: An Introduction to Algebraic Geometry Mathematical Lecture Notes Series 1974
    • (1974) Mathematical Lecture Notes Series
    • Fulton, W.1
  • 8
    • 0033148253 scopus 로고    scopus 로고
    • On the curvature of curves and surfaces defined by normalforms
    • E. Hartmenn On the curvature of curves and surfaces defined by normalforms Computer Aided Geometric Design 16 1999 355 376
    • (1999) Computer Aided Geometric Design , vol.16 , pp. 355-376
    • Hartmenn, E.1
  • 13
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    • Level Set Methods and Dynamic Implicit Surfaces
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    • S. Osher, and R. Fedkiw Level Set Methods and Dynamic Implicit Surfaces Appl. Math. Sci. vol. 153 2003 Springer-Verlag New York
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    • Osher, S.1    Fedkiw, R.2
  • 15
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    • Level Set Methods and Fast Marching Method
    • second ed. Cambridge University Press Cambridge
    • J.A. Sethian Level Set Methods and Fast Marching Method second ed. Cambridge Monogr. Appl. Comput. Math 1999 Cambridge University Press Cambridge
    • (1999) Cambridge Monogr. Appl. Comput. Math
    • Sethian, J.A.1
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    • An accelerated triangulation method for computing the skeletons of free-form solid models
    • G.M. Turkiyyah, D.W. Storti, M. Ganter, H. Chen, and M. Vimawala An accelerated triangulation method for computing the skeletons of free-form solid models Computer-Aided Design 29 1997 5 19
    • (1997) Computer-Aided Design , vol.29 , pp. 5-19
    • Turkiyyah, G.M.1    Storti, D.W.2    Ganter, M.3    Chen, H.4    Vimawala, M.5


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.