Bilateral Regularization in Reproducing Kernel Hilbert Spaces for Discontinuity Preserving Image Registration

Jud, Christoph and Moeri, Nadia and Bitterli, Benedikt and Cattin, Philippe C.. (2016) Bilateral Regularization in Reproducing Kernel Hilbert Spaces for Discontinuity Preserving Image Registration. In: MICCAI Workshop Machine Learning in Medical Imaging (MLMI). Cham, pp. 10-17.

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Official URL: http://edoc.unibas.ch/54843/

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The registration of abdominal images is an increasing field in research and forms the basis for studying the dynamic motion of organs. Particularly challenging therein are organs which slide along each other. They require discontinuous transform mappings at the sliding boundaries to be accurately aligned. In this paper, we present a novel approach for discontinuity preserving image registration. We base our method on a sparse kernel machine (SKM), where reproducing kernel Hilbert spaces serve as transformation models. We introduce a bilateral regularization term, where neighboring transform parameters are considered jointly. This regularizer enforces a bias to homogeneous regions in the transform mapping and simultaneously preserves discontinuous magnitude changes of parameter vectors pointing in equal directions. We prove a representer theorem for the overall cost function including this bilateral regularizer in order to guarantee a finite dimensional solution. In addition, we build direction-dependent basis functions within the SKM framework in order to elongate the transformations along the potential sliding organ boundaries. In the experiments, we evaluate the registration results of our method on a 4DCT dataset and show superior registration performance of our method over the tested methods.
Faculties and Departments:03 Faculty of Medicine > Departement Biomedical Engineering > Imaging and Computational Modelling > Center for medical Image Analysis & Navigation (Cattin)
UniBasel Contributors:Cattin, Philippe Claude
Item Type:Conference or Workshop Item, refereed
Conference or workshop item Subtype:Paper
Series Name:Lecture Notes in Computer Science book series
Issue Number:10019
Note:Publication type according to Uni Basel Research Database: Conference paper
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Last Modified:12 Dec 2017 14:51
Deposited On:12 Dec 2017 14:51

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