A PDE Solution of Brownian Warping

Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review

A Brownian motion model in the group of diffeomorphisms has been introduced as creating a least committed prior on warps. This prior is source destination symmetric, fulfills a natural semi-group property for warps, and with probability 1 create invertible warps. In this paper, we formulate a Partial Differential Equation for obtaining the maximum likelihood warp given matching constraints derived from the images. We solve for the free boundary conditions, and the bias toward smaller areas in the finite domain setting. Furthermore, we demonstrate the technique on 2D images, and show that the obtained warps are also in practice source-destination symmetric.
Original languageEnglish
Title of host publicationComputer Vision - ECCV 2004 : 8th European Conference on Computer Vision, Prague, Czech Republic, May 11-14, 2004. Proceedings, Part IV
Publisher<Forlag uden navn>
Publication date2004
Pages180-191
ISBN (Print)978-3-540-21981-1
DOIs
Publication statusPublished - 2004
Externally publishedYes
EventEuropean Conference on Computer Vision - Prague, Czech Republic
Duration: 29 Nov 2010 → …
Conference number: 8

Conference

ConferenceEuropean Conference on Computer Vision
Nummer8
LandCzech Republic
ByPrague
Periode29/11/2010 → …
SeriesLecture notes in computer science
Volume3024/2004
ISSN0302-9743

ID: 5521062