Inverse Potential Problems for Divergence of Measures with Total Variation Regularization

Laurent Baratchart, Cristóbal Villalobos Guillén, Douglas P. Hardin, Michael Northington, Edward B. Saff

Type: Article

Publication Date: 2019-11-07

Citations: 6

DOI: https://doi.org/10.1007/s10208-019-09443-x

View Publication

Download PDF

Locations

Foundations of Computational Mathematics - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Inverse Potential Problems for Divergence of Measures with Total Variation Regularization	2018	Laurent Baratchart Cristóbal Villalobos Guillén Douglas P. Hardin Michael Northington Edward B. Saff
+	Inverse Potential Problems for Divergence of Measures with Total Variation Regularization	2018	Laurent Baratchart Cristóbal Villalobos Guillén Douglas P. Hardin Michael Northington Edward B. Saff
+ PDF Chat	Inverse potential problems in divergence form for measures in the plane	2021	Laurent Baratchart Cristóbal Villalobos Guillén Douglas P. Hardin
+	Divergence-free measures in the plane and inverse potential problems in divergence form	2020	Laurent Baratchart Cristóbal Villalobos Guillén Douglas P. Hardin
+	Linear inverse problems with nonnegativity constraints through the $\beta$-divergences: sparsity of optimisers	2020	Camille Pouchol Olivier Verdier
+	A function space framework for structural total variation regularization with applications in inverse problems	2018	Michael Hintermüller Martin Höller Kostas Papafitsoros
+	Inverse Problems and Variational Regularization	2024	Hebert Montegranario
+ PDF Chat	Off-the-grid regularisation for Poisson inverse problems	2024	Marta Lazzaretti Claudio Estatico Alejandro Melero Luca Calatroni
+	Function-Valued Mappings, Total Variation and Compressed Sensing for diffusion MRI	2012	Oleg Michailovich Davide La Torre Edward R. Vrscay
+	Sparse recovery for inverse potential problems in divergence form	2020	Laurent Baratchart Cristobal Villalobos-Guillen Douglas P. Hardin Juliette Leblond
+	Regularization and Inverse Problems	2006	A. Lasenby R. B. Barreiro M. P. Hobson
+	Regularization and Inverse Problems	1989	Sibusiso Sibisi
+	Regularization methods for inverse problems	2011	Orozco Rodríguez José Guilherme Chaves Alberto
+ PDF Chat	Boundedness and Unboundedness in Total Variation Regularization	2023	Kristian Bredies José A. Iglesias Gwenaël Mercier
+	Boundedness and unboundedness in total variation regularization	2022	Kristian Bredies José A. Iglesias Gwenaël Mercier
+	Regularization of Inverse Problems	2015	Heinz W. Engl Ronny Ramlau
+	Regularization of Inverse Problems	1996	Heinz W. Engl Martin Hanke Andreas B. Neubauer
+ PDF Chat	Imaging with Kantorovich--Rubinstein Discrepancy	2014	Jan Lellmann Dirk A. Lorenz Carola‐Bibiane Schönlieb Tuomo Valkonen
+ PDF Chat	Exact Support Recovery for Sparse Spikes Deconvolution	2014	Vincent Duval Gabriel Peyré
+ PDF Chat	Relaxed Regularization for Linear Inverse Problems	2021	Nick Luiken Tristan van Leeuwen

Works That Cite This (6)

Action	Title	Year	Authors
+ PDF Chat	A layer potential approach to inverse problems in brain imaging	2023	Paul Asensio J.M. Badier J Leblond J. P. Marmorat Masimba Nemaire
+	Divergence-free measures in the plane and inverse potential problems in divergence form	2020	Laurent Baratchart Cristóbal Villalobos Guillén Douglas P. Hardin
+	Unique reconstruction of simple magnetizations from their magnetic potential	2021	Laurent Baratchart Christian Gerhards Alexander Kegeles W. Paul Menzel
+	Unique reconstruction of simple magnetizations from their magnetic potential	2021	Laurent Baratchart Christian Gerhards Alexander Kegeles Peter Menzel
+ PDF Chat	Inverse potential problems in divergence form for measures in the plane	2021	Laurent Baratchart Cristóbal Villalobos Guillén Douglas P. Hardin
+	Silent Sources on a Surface for the Helmholtz Equation and Decomposition of ${L^2}$ Vector Fields	2025	Laurent Baratchart Houssem Haddar Cristóbal Villalobos Guillén

Works Cited by This (25)

Action	Title	Year	Authors
+	Harmonic Function Theory	1992	Sheldon Axler Paul Bourdon Wade Ramey
+ PDF Chat	Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions	2012	Laurent Baratchart Douglas P. Hardin Eduardo A. Lima E. B. Saff B. P. Weiss
+	A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators	2007	Bernd Hofmann Barbara Kaltenbacher Christiane Pöschl Otmar Scherzer
+	Signal Recovery and the Large Sieve	1992	David L. Donoho B. F. Logan
+ PDF Chat	Exact Support Recovery for Sparse Spikes Deconvolution	2014	Vincent Duval Gabriel Peyré
+	Convergence rates of convex variational regularization	2004	Martin Burger Stanley Osher
+	For most large underdetermined systems of linear equations the minimal 𝓁<sub>1</sub>‐norm solution is also the sparsest solution	2006	David L. Donoho
+	Identification of material damage in two-dimensional domains using the SQUID-based nondestructive evaluation system	2002	H. T. Banks F. Kojima
+	Reconstruction of a current distribution from its magnetic field	2002	Rainer Kreß Lars K uuml hn Roland Potthast
+ PDF Chat	Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions	2012	Eduardo Casas Christian Clason Karl Kunisch