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Published in:
2009 | OriginalPaper | Chapter
Non-rigid Registration of High Angular Resolution Diffusion Images Represented by Gaussian Mixture Fields
Authors : Guang Cheng, Baba C. Vemuri, Paul R. Carney, Thomas H. Mareci
Published in: Medical Image Computing and Computer-Assisted Intervention – MICCAI 2009
Publisher: Springer Berlin Heidelberg
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In this paper, we present a novel algorithm for non-rigidly registering two high angular resolution diffusion weighted MRIs (HARDI), each represented by a Gaussian mixture field (GMF). We model the non-rigid warp by a thin-plate spline and formulate the registration problem as the minimization of the L2 distance between the two given GMFs. The key mathematical contributions of this work are, (i) a closed form expression for the derivatives of this objective function with respect to the parameters of the registration and (ii) a novel and simpler re-orientation scheme based on an extension to the ”Preservation of Principle Directions” technique. We present results of our algorithm’s performance on several synthetic and real HARDI data sets.