Brownian Warps for Non-Rigid Registration
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Brownian Warps for Non-Rigid Registration. / Nielsen, Mads; Johansen, Peter; Jackson, Andrew D.; Lautrup, Benny Elley; Hauberg, Søren.
I: Journal of Mathematical Imaging and Vision, Bind 31, Nr. 2-3, 2008, s. 221-231.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Brownian Warps for Non-Rigid Registration
AU - Nielsen, Mads
AU - Johansen, Peter
AU - Jackson, Andrew D.
AU - Lautrup, Benny Elley
AU - Hauberg, Søren
PY - 2008
Y1 - 2008
N2 - A Brownian motion model in the group of diffeomorphisms has been introduced as inducing a least committed prior on warps. This prior is source-destination symmetric, fulfills a natural semi-group property for warps, and with probability 1 creates invertible warps. Using this as a least committed prior, we formulate a Partial Differential Equation for obtaining the maximally likely 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 and in an example on X-ray spine registration provides extrapolations from landmark point superior to those of spline solutions. Udgivelsesdato: July
AB - A Brownian motion model in the group of diffeomorphisms has been introduced as inducing a least committed prior on warps. This prior is source-destination symmetric, fulfills a natural semi-group property for warps, and with probability 1 creates invertible warps. Using this as a least committed prior, we formulate a Partial Differential Equation for obtaining the maximally likely 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 and in an example on X-ray spine registration provides extrapolations from landmark point superior to those of spline solutions. Udgivelsesdato: July
KW - Faculty of Science
KW - DIKU
KW - Image Group
KW - Non-rigid registration
KW - Brownian motion
KW - Central limit theorem
KW - Invariance
U2 - 10.1007/s10851-008-0083-4
DO - 10.1007/s10851-008-0083-4
M3 - Journal article
VL - 31
SP - 221
EP - 231
JO - Journal of Mathematical Imaging and Vision
JF - Journal of Mathematical Imaging and Vision
SN - 0924-9907
IS - 2-3
ER -
ID: 9204645