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Chun, Se Young
Bio-Medical Image Processing Lab (BMIPL)
Research Interests
  • Inverse problem, sparse signal, multimodal information, diffeomorphic alignment, statistical learning, medical imaging

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A Simple Regularizer for B-spline Nonrigid Image Registration That Encourages Local Invertibility

Cited 26 times inthomson ciCited 29 times inthomson ci
Title
A Simple Regularizer for B-spline Nonrigid Image Registration That Encourages Local Invertibility
Author
Chun, Se YoungFessler, Jeffrey A.
Keywords
B-splines; Local invertibility sufficient conditions; Nonrigid image registration; Penalty method; Thorax CT images
Issue Date
2009-02
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Citation
IEEE JOURNAL OF SELECTED TOPICS IN SIGNAL PROCESSING, v.3, no.1, pp.159 - 169
Abstract
Non rigid image registration is an important task for many medical imaging applications. In particular, for radiation oncology it is desirable to track respiratory motion for thoracic cancer treatment. B-splines are convenient for modeling nonrigid deformations, but ensuring invertibility can be a challenge. This paper describes sufficient conditions for local invertibility of deformations based on B-spline bases. These sufficient conditions can be used with constrained optimization to enforce local invertibility. We also incorporate these conditions into nonrigid image registration methods based on a simple penalty approach that encourages diffeomorphic deformations. Traditional Jacobian penalty methods penalize negative Jacobian determinant values only at grid points. In contrast, our new method enforces a sufficient condition for invertibility directly on the deformation coefficients to encourage invertibility globally over a 3-D continuous domain. The proposed penalty approach requires substantially less compute time than Jacobian penalties per iteration.
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DOI
10.1109/JSTSP.2008.2011116
ISSN
1932-4553
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EE_Journal Papers
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