A variational method for the recovery of smooth boundaries
作者： Riccardo March , Marziano Dozio
DOI: 10.1016/S0262-8856(97)00002-4
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摘要: Variational methods for image segmentation try to recover a piecewise smooth function together with discontinuity set which represents the boundaries of segmentation. This paper deals variational method that constrains formation discontinuities along contours. The functional be minimized, involves computation geometrical properties boundaries, is approximated by sequence functionals can discretized in straightforward way. Computer examples real images are presented illustrate feasibility method.
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G Dal Maso, Giovanni Bellettini, M. Paolini, Semicontinuity and relaxation properties of a curvature depending functional in 2D Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze. ,vol. 20, pp. 247- 297 ,(1993)
Jayant Shah, Uses of Elliptic Approximations in Computer Vision Variational Methods for Discontinuous Structures. pp. 19- 34 ,(1996) , 10.1007/978-3-0348-9244-5_3
Ennio De Giorgi, Some remarks on Γ-convergence and least squares method Birkhäuser Boston. pp. 135- 142 ,(1991) , 10.1007/978-1-4684-6787-1_8
Carlo Mantegazza, Curvature varifolds with boundary Journal of Differential Geometry. ,vol. 43, pp. 807- 843 ,(1996) , 10.4310/JDG/1214458533
Tom Ilmanen, Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature Journal of Differential Geometry. ,vol. 38, pp. 417- 461 ,(1993) , 10.4310/JDG/1214454300
Jean Michel Morel, Sergio Solimini, Variational methods in image segmentation Birkhauser Boston Inc.. ,(1995) , 10.1007/978-1-4684-0567-5
M. Nitzberg, D. Mumford, T. Shiota, Filtering, segmentation, and depth ,(1993)
J. W. Cahn, C. M. Elliott, A. Novick-Cohen, The Cahn–Hilliard equation with a concentration dependent mobility: motion by minus the Laplacian of the mean curvature European Journal of Applied Mathematics. ,vol. 7, pp. 287- 301 ,(1996) , 10.1017/S0956792500002369
Jacob Rubinstein, Peter Sternberg, Joseph B. Keller, Fast reaction, slow diffusion, and curve shortening Siam Journal on Applied Mathematics. ,vol. 49, pp. 116- 133 ,(1989) , 10.1137/0149007
Satyanad Kichenassamy, Arun Kumar, Peter Olver, Allen Tannenbaum, Anthony Yezzi, None, Conformal curvature flows: From phase transitions to active vision Archive for Rational Mechanics and Analysis. ,vol. 134, pp. 275- 301 ,(1996) , 10.1007/BF00379537