A PDE Solution of Brownian Warping
Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
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A PDE Solution of Brownian Warping. / Nielsen, Mads; Johansen, Peter.
Computer Vision - ECCV 2004: 8th European Conference on Computer Vision, Prague, Czech Republic, May 11-14, 2004. Proceedings, Part IV. <Forlag uden navn>, 2004. s. 180-191 (Lecture notes in computer science, Bind 3024/2004).Publikation: Bidrag til bog/antologi/rapport › Konferencebidrag i proceedings › Forskning › fagfællebedømt
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TY - GEN
T1 - A PDE Solution of Brownian Warping
AU - Nielsen, Mads
AU - Johansen, Peter
N1 - Conference code: 8
PY - 2004
Y1 - 2004
N2 - 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.
AB - 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.
U2 - 10.1007/b97873
DO - 10.1007/b97873
M3 - Article in proceedings
SN - 978-3-540-21981-1
T3 - Lecture notes in computer science
SP - 180
EP - 191
BT - Computer Vision - ECCV 2004
PB - <Forlag uden navn>
Y2 - 29 November 2010
ER -
ID: 5521062