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Analytic regularization of uniform cubic B-spline deformation fields
Journal article   Open access

Analytic regularization of uniform cubic B-spline deformation fields

James A Shackleford, Qi Yang, Ana M Lourenço, Nadya Shusharina, Nagarajan Kandasamy and Gregory C Sharp
Medical image computing and computer-assisted intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention, v 15(Pt 2)
2012
PMID: 23286040
url
https://doi.org/10.1007/978-3-642-33418-4_16View
Published, Version of Record (VoR) Open

Abstract

Reproducibility of Results Algorithms Radiographic Image Interpretation, Computer-Assisted - methods Numerical Analysis, Computer-Assisted Humans Sensitivity and Specificity Radiographic Image Enhancement - methods Tomography, X-Ray Computed - methods Radiography, Thoracic - methods Lung - diagnostic imaging Subtraction Technique
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.

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Collaboration types
Domestic collaboration
International collaboration
Web of Science research areas
Computer Science, Artificial Intelligence
Computer Science, Theory & Methods
Medical Informatics
Radiology, Nuclear Medicine & Medical Imaging
Robotics
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