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Efficient computation of the inverse gradient on irregular domains
Linköping University, Department of Electrical Engineering. Linköping University, The Institute of Technology.
Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, The Institute of Technology.
Linköping University, Department of Medical and Health Sciences, Clinical Physiology. Linköping University, Faculty of Health Sciences. Östergötlands Läns Landsting, Heart and Medicine Centre, Department of Clinical Physiology UHL.ORCID iD: 0000-0003-1395-8296
Linköping University, Department of Biomedical Engineering, Medical Informatics. Linköping University, The Institute of Technology.
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2007 (English)In: 2007 IEEE 11TH INTERNATIONAL CONFERENCE ON COMPUTER VISION, VOLS 1-6, IEEE , 2007, 2710-2717 p.Conference paper, Published paper (Other academic)
Abstract [en]

The inverse gradient problem, finding a scalar field f with a gradient near a given vector field g on some bounded and connected domain Omega epsilon R(n), can be solved by means of a Poisson equation with inhomogeneous Neumann boundary conditions. We present an elementary derivation of this partial differential equation and an efficient multigrid-based method to numerically compute the inverse gradient on non-rectangular domains. The utility of the method is demonstrated by a range of important medical applications such as phase unwrapping, pressure computation, inverse deformation fields, and fiber bundle tracking.

Place, publisher, year, edition, pages
IEEE , 2007. 2710-2717 p.
Series
IEEE International Conference on Computer Vision, ISSN 1550-5499 ; VOLS 1-6
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-75811DOI: 10.1109/ICCV.2007.4409176ISI: 000255099302090ISBN: 978-1-4244-1630-1 (print)OAI: oai:DiVA.org:liu-75811DiVA: diva2:509095
Conference
11th IEEE International Conference on Computer Vision, Rio de Janeiro, Brazil, October 14-21 2007
Available from: 2012-03-12 Created: 2012-03-12 Last updated: 2013-09-03

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Farnebäck, GunnarRydell, JoakimEbbers, TinoAndersson, MatsKnutsson, Hans

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Farnebäck, GunnarRydell, JoakimEbbers, TinoAndersson, MatsKnutsson, Hans
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Department of Electrical EngineeringThe Institute of TechnologyMedical InformaticsClinical PhysiologyFaculty of Health SciencesDepartment of Clinical Physiology UHL
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