A Sobolev gradient method for construction of elastic curves in regular surfaces

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 5-7, 2005, Pages

  Renka, R J ^a  

^a UNIVERSITY OF NORTH TEXAS   (United States)

Author keywords

Elastic curves; Geodesic curvature; Nonlinear spline; Sobolev gradient

Indexed keywords

NONLINEAR EQUATIONS; OPTIMIZATION; PROBLEM SOLVING; VECTORS;

ELASTIC CURVES; GEODESIC CURVATURE; NONLINEAR SPLINES; SOBOLEV GRADIENTS;

ELASTIC MODULI;

EID: 28044470759     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.02.101     Document Type: Conference Paper

References (8)

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3. E. Polak Computational Methods in Optimization 1971 Academic Press New York
4. R.J. Renka Algorithm 828. DNSPLIN1: Discrete nonlinear spline interpolation ACM Trans. Math. Software 29 2003 1 11
5. R.J. Renka Constructing fair curves and surfaces with a Sobolev gradient method CAGD 21 2004 137 149
6. R.J. Renka Algorithm 834: glsurf - An interactive surface plotting program using OpenGL ACM Trans. Math. Software 30 2004 212 217
7. R.J. Renka, and J.W. Neuberger Minimal surfaces and Sobolev gradients SIAM J. Sci. Comput. 16 1995 1412 1427
8. C.H. Woodford Smooth curve interpolation BIT 9 1969 69 77