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231223s2008 xx |||||o 00| ||eng c |
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|a 10.1109/TIP.2008.2002310
|2 doi
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|a eng
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|a Noblet, Vincent
|e verfasserin
|4 aut
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|a Accurate inversion of 3-D transformation fields
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|c 2008
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|a Text
|b txt
|2 rdacontent
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|a ƒaComputermedien
|b c
|2 rdamedia
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|a ƒa Online-Ressource
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|a Date Completed 30.10.2008
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|a Date Revised 11.09.2008
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|a published: Print
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|a Citation Status MEDLINE
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|a This correspondence addresses the inversion of 3-D transformation fields, which is a problem that typically arises in image warping problems. A topology preserving parametric B-spline-based representation of the deformation field is considered. Topology preservation ensures that the transformation is a one-to-one mapping and consequently that it is invertible. Inverting such transformation fields amounts to solving a system of nonlinear equations. To tackle this problem, we rely on interval analysis techniques. The proposed algorithm yields a solution whose accuracy is user-controlled. This method may be extended to any dense transformation field and also to deformations defined on a grid of points, by considering a projection in the space of topology preserving B-spline-based deformation fields. The performance of the algorithm is illustrated on transformation fields coming from intersubject brain registration
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|a Letter
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|a Heinrich, Christian
|e verfasserin
|4 aut
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|a Heitz, Fabrice
|e verfasserin
|4 aut
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| 700 |
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|a Armspach, Jean-Paul
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
|d 1992
|g 17(2008), 10 vom: 01. Okt., Seite 1963-8
|w (DE-627)NLM09821456X
|x 1057-7149
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| 773 |
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|g volume:17
|g year:2008
|g number:10
|g day:01
|g month:10
|g pages:1963-8
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|u http://dx.doi.org/10.1109/TIP.2008.2002310
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