%0 Report %1 Lobel96 %A ?, %C 250 rue Albert Einstein, Sophia Antipolis, 06560 Valbonne, France %D 1996 %K imageprocessing inverse inversions regularization statistics %N 95-73 %T Technical Development for an Edge-Preserving Regularization Method in Inverse Scattering %U http://citeseer.ist.psu.edu/92700.html %X This paper deals with the adaptation of an edge-preserving regularization method to the ill-posed problem of inverse scattering. The reconstruction of complex permittivity of inhomogeneous objects from scattered field data, leads to a nonlinear equation. Our primary algorithm, based on a conjugate gradient method shows some limitations face to noisy corrupted data. A significant enhancement is proposed by the addition of a new regularization term. The object to be reconstructed is modeled with homogeneous areas, separated by borderlike discontinuities. Based on the use of edge-preserving potential functions, our algorithm smoothes the homogeneous areas of the solution, while preserving the reconstruction of the edges, which are important attributes of the object. Finally, some examples with noisy corrupted synthetic data illustrate the enhancement brought by the method. Research Note 95-73 I3S Laboratory 1 Introduction 3 1 Introduction Inverse scattering in Microwave Imaging has gai...

@techreport{Lobel96, abstract = {This paper deals with the adaptation of an edge-preserving regularization method to the ill-posed problem of inverse scattering. The reconstruction of complex permittivity of inhomogeneous objects from scattered field data, leads to a nonlinear equation. Our primary algorithm, based on a conjugate gradient method shows some limitations face to noisy corrupted data. A significant enhancement is proposed by the addition of a new regularization term. The object to be reconstructed is modeled with homogeneous areas, separated by borderlike discontinuities. Based on the use of edge-preserving potential functions, our algorithm smoothes the homogeneous areas of the solution, while preserving the reconstruction of the edges, which are important attributes of the object. Finally, some examples with noisy corrupted synthetic data illustrate the enhancement brought by the method. Research Note 95-73 I3S Laboratory 1 Introduction 3 1 Introduction Inverse scattering in Microwave Imaging has gai...}, added-at = {2008-09-11T13:40:42.000+0200}, address = {250 rue Albert Einstein, Sophia Antipolis, 06560 Valbonne, France }, author = {?}, biburl = {https://www.bibsonomy.org/bibtex/27d8d894f21861a8183aadb856c4e177d/jgomezdans}, description = {Edge preserving regularisation}, institution = {Laboratoire Informatique Signaux et Systemes de Sophia Antipolis / Laboratoire d'Electronique, Antennes et Telecommunications, CNRS / Universite de Nice-Sophia Antipolis}, interhash = {ee193eb01e196bc0bb00b658741952bc}, intrahash = {7d8d894f21861a8183aadb856c4e177d}, keywords = {imageprocessing inverse inversions regularization statistics}, number = {95-73}, timestamp = {2008-09-11T13:40:42.000+0200}, title = {Technical Development for an Edge-Preserving Regularization Method in Inverse Scattering}, type = {Research Report}, url = {http://citeseer.ist.psu.edu/92700.html}, year = 1996 }