Efficient computation of the inverse gradient on irregular domains
2007 (English)In: 2007 IEEE 11TH INTERNATIONAL CONFERENCE ON COMPUTER VISION, VOLS 1-6, IEEE , 2007, 2710-2717 p.Conference paper (Other academic)
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.
, IEEE International Conference on Computer Vision, ISSN 1550-5499 ; VOLS 1-6
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-75811DOI: 10.1109/ICCV.2007.4409176ISI: 000255099302090ISBN: 978-1-4244-1630-1OAI: oai:DiVA.org:liu-75811DiVA: diva2:509095
11th IEEE International Conference on Computer Vision, Rio de Janeiro, Brazil, October 14-21 2007