Optimal approximations by piecewise smooth functions and associated variational problems

Keywords

Mathematics, Piecewise, Citation, Variational inequality, Mathematical economics

References

• Elliptic Problems in Nonsmooth DomainsPierre Grisvard — 1985
• Surface Reconstruction Preserving DiscontinuitiesJosé L. Marroquín — 1984
• Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of ImagesStuart Geman, Donald Geman — 1984
• On a theory of phase transitions with interfacial energyMorton E. Gurtin — 1985
• A Course of Modern AnalysisE. T. Whittaker, G. N. Watson — 1996
• The structure of stationary one dimensional varifolds with positive densityWilliam K. Allard, F. J. Almgren — 1976
• Handbook of Mathematical Functions.Juliette Florentin, Milton Abramowitz, Irene A. Stegun — 1966
• Boundary problems for elliptic equations in domains with conical or angular pointsВ А Кондратьев — 1967
• Functional Integration And Partial Differential EquationsMark Freidlin — 1985
• Functional Integration and Partial Differential Equations. (AM-109), Volume 109Mark Freidlin — 1985
• Handbook of Mathematical FunctionsDonald A. McQuarrie — 1966
• Mathematical analysis in the mechanics of fractureJ. Rice — 1968

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• A Note on the Theory of SBV FunctionsGiovanni Alberti, Carlo Mantegazza — 2007
• Comparing methods of image reconstruction in electrical impedance tomographyTomasz Rymarczyk, S.F. Filipowicz, J. Sikora — 2011
• Approximation of non-convex functionals in GBVRobert Alicandro, Andrea Braides, Jayant Shah — 1998
• An approach to edge detection in images of skin lesions by Chan-Vese modelRoberta B. Oliveira, João Manuel R. S. Tavares, Norian Marranghello — 2013
• Les EDP en traitement des images et vision par ordinateurRachid Deriche, Olivier Faugeras — 1995
• Régularisation spatio-temporelle : applications au débruitage, à l'inpainting et à la classification. (Spatiotemporal regulation: applications to denoising, the inpainting and classification)M. Ghoniem — 2010
• A massively parallel adaptive sharp interface solver with application to mechanical heart valve simulationsJohn Mousel — 2012
• Towards More Desirable Segmentation via User InteractionsYaoyao Zhu — 2013
• Robust Image Segmentation Applied to Magnetic Resonance and Ultrasound Images of the Prostate. (Segmentation d'images robuste appliqué à l'imagerie par résonance magnétique et l'échographie de la prostate)Soumya Ghose — 2012
• A curve evolution approach to object-based tomographic reconstructionHaihua Feng, W.C. Karl, David A. Castañón — 2003
• Variational approach for edge-preserving regularization using coupled PDEsFrançois Engelbrecht — 1998
• Partition d'images par minimisation de la complexité stochastique et grille active : application à la segmentation d'images de radar à ouverture synthétiqueFrédéric Galland — 2004
• A Study on the Feasibility of Active Contours on Automatic CT Bone SegmentationAlla Brzozowska — 2010
• An Optimized Blockwise Nonlocal Means Denoising Filter for 3-D Magnetic Resonance ImagesPierrick Coupé, Pierre Yger, Sylvain Prima — 2008
• MRI Shoulder Complex Segmentation and ClassificationG. Pérez, J. F. Garamendi, R. M. Diez — 2008
• Image processing methods for human brain connectivity analysis from in-vivo diffusion MRIOscar Esteban Sanz-Dranguet — 2015
• Image Segmentation Using Fuzzy Region Competition and Spatial/Frequency InformationSiu Kai Choy, Man‐Lai Tang, C.S. Tong — 2011

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