NDLI: Regularization with metric double integrals for vector tomography

Please wait, while we are loading the content...

Regularization with metric double integrals for vector tomography

Content Provider	Scilit
Author	Melching, Melanie Scherzer, Otmar
Copyright Year	2020
Abstract	We present a family of non-local variational regularization methods for solving tomographic problems, where the solutions are functions with range in a closed subset of the Euclidean space, for example if the solution only attains values in an embedded sub-manifold. Recently, in [R. Ciak, M. Melching and O. Scherzer, Regularization with metric double integrals of functions with values in a set of vectors, J. Math. Imaging Vision 61 2019, 6, 824–848], such regularization methods have been investigated analytically and their efficiency has been tested for basic imaging tasks such as denoising and inpainting. In this paper we investigate solving complex vector tomography problems with non-local variational methods both analytically and numerically.
Related Links	https://www.degruyter.com/downloadpdf/journals/jiip/ahead-of-print/article-10.1515-jiip-2019-0084/article-10.1515-jiip-2019-0084.pdf
Ending Page	875
Page Count	19
Starting Page	857
ISSN	09280219
e-ISSN	15693945
DOI	10.1515/jiip-2019-0084
Journal	Journal of Inverse and Ill-Posed Problems
Issue Number	6
Volume Number	28
Language	English
Publisher	Walter de Gruyter GmbH
Publisher Date	2020-09-01
Access Restriction	Open
Subject Keyword	Journal of Inverse and Ill-posed Problems Applied Mathematics Mathematical Physics Regularization Vector-valued Data Non-convex Metric Double Integral Fractional Sobolev Space Tomography 47a52 65j20 Journal: Journal of Inverse and Ill-Posed Problems, Vol- 28
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Diffusion tensor regularization with metric double integrals

Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source

A non-smooth and non-convex regularization method for limited-angle CT image reconstruction

Inverse problem for nonlinear backward space-fractional diffusion equation

Stepwise regularization method for a nonlinear Riesz–Feller space-fractional backward diffusion problem

A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space

Optimal regularization for ill-posed problems in metric spaces

Regularization with Metric Double Integrals for Vector Tomography

Error estimates for the iteratively regularized Newton–Landweber method in Banach spaces under approximate source conditions

Regularization with metric double integrals for vector tomography

Similar Documents

Diffusion tensor regularization with metric double integrals

Regularization of a sideways problem for a time-fractional diffusion equation with nonlinear source

A non-smooth and non-convex regularization method for limited-angle CT image reconstruction

Inverse problem for nonlinear backward space-fractional diffusion equation

Stepwise regularization method for a nonlinear Riesz–Feller space-fractional backward diffusion problem

A class of homotopy with regularization for nonlinear ill-posed problems in Hilbert space

Optimal regularization for ill-posed problems in metric spaces

Regularization with Metric Double Integrals for Vector Tomography

Error estimates for the iteratively regularized Newton–Landweber method in Banach spaces under approximate source conditions

Regularization with metric double integrals for vector tomography