Image Segmentation Using Active Contours: Calculus of Variations or Shape Gradients?

DOI10.1137/S0036139902408928zbMath1053.94003MaRDI QIDQ4429821

Gilles Aubert, Olivier Faugeras, Stéphanie Jehan-Besson, Michel Barlaud

Publication date: 28 September 2003

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsshape optimizationcalculus of variationsimage segmentationlevel set methodsactive contoursGâteaux derivativeshape gradientboundary functionalsimage statisticsregion segmentationregion functionalsactive regionsParzen window estimation

Mathematics Subject Classification ID

Computing methodologies for image processing (68U10) Variational problems in a geometric measure-theoretic setting (49Q20) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for second-order elliptic equations (35J20)

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