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Surface-based matching using elastic transformations
Journal article   Peer reviewed

Surface-based matching using elastic transformations

Maria Gabrani and Oleh J. Tretiak
Pattern recognition, v 32(1), pp 87-97
1999

Abstract

Energy functional Multivariate interpolation solution Preconditioning Radial basis functions Surface-based alignment Thin-plate splines
We introduce a methodology for the alignment of multidimensional data, such as brain scans. The proposed approach does not require fiducial-point correspondence; correspondence of surfaces provides sufficient data for registration. We extend multidimensional interpolation theory by using a more general form of energy functional, which leads to basis functions that have different orders at zero and infinity. This allows flexibility in the design of the interpolation solution. The problem is transformed into a linear algebra problem. Two techniques for better conditioning of the system matrix are described. Experimental results on two- and three-dimensional alignment of brain data used in neurochemistry research are shown.

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Web of Science research areas
Computer Science, Artificial Intelligence
Engineering, Electrical & Electronic
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