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• W14543693 abstract "Image registration is inherently ill-posed, and lacks a unique solution. In the context of medical applications, it is desirable to avoid solutions that describe physically unsound deformations within the patient anatomy. Among the accepted methods of regularizing non-rigid image registration to provide solutions applicable to medical practice is the penalty of thin-plate bending energy. In this paper, we develop an exact, analytic method for computing the bending energy of a three-dimensional B-spline deformation field as a quadratic matrix operation on the spline coefficient values. Results presented on ten thoracic case studies indicate the analytic solution is between 61-1371x faster than a numerical central differencing solution." @default.
• W14543693 created "2016-06-24" @default.
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• W14543693 date "2012-01-01" @default.
• W14543693 modified "2023-10-16" @default.
• W14543693 title "Analytic Regularization of Uniform Cubic B-spline Deformation Fields" @default.
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• W14543693 doi "https://doi.org/10.1007/978-3-642-33418-4_16" @default.
• W14543693 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23286040" @default.
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