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Inverse consistent mapping in 3D deformable image registration: Its construction and statistical properties

Publication ,  Conference
Leow, A; Huang, SC; Geng, A; Becker, J; Davis, S; Toga, A; Thompson, P
Published in: Lecture Notes in Computer Science
October 17, 2005

This paper presents a new approach to inverse consistent image registration. A uni-directional algorithm is developed using symmetric cost functionals and regularizers. Instead of enforcing inverse consistency using an additional penalty that penalizes inconsistency error, the new algorithm directly models the backward mapping by inverting the forward mapping. The resulting minimization problem can then be solved uni-directionally involving only the forward mapping, without optimizing in the backward direction. Lastly, we evaluated the algorithm by applying it to the serial MRI scans of a clinical case of semantic dementia. The statistical distributions of the local volume change (Jacobian) maps were examined by considering the Kullback-Liebler distances on the material density functions. Contrary to common belief, the values of any non-trivial Jacobian map do not follow a log-normal distribution with zero mean. Statistically significant differences were detected between consistent versus inconsistent matching when permutation tests were performed on the resulting deformation maps © Springer-Verlag Berlin Heidelberg 2005.

Duke Scholars

Published In

Lecture Notes in Computer Science

ISSN

0302-9743

Publication Date

October 17, 2005

Volume

3565

Start / End Page

493 / 503

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences
 

Citation

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Leow, A., Huang, S. C., Geng, A., Becker, J., Davis, S., Toga, A., & Thompson, P. (2005). Inverse consistent mapping in 3D deformable image registration: Its construction and statistical properties. In Lecture Notes in Computer Science (Vol. 3565, pp. 493–503).
Leow, A., S. C. Huang, A. Geng, J. Becker, S. Davis, A. Toga, and P. Thompson. “Inverse consistent mapping in 3D deformable image registration: Its construction and statistical properties.” In Lecture Notes in Computer Science, 3565:493–503, 2005.
Leow A, Huang SC, Geng A, Becker J, Davis S, Toga A, et al. Inverse consistent mapping in 3D deformable image registration: Its construction and statistical properties. In: Lecture Notes in Computer Science. 2005. p. 493–503.
Leow, A., et al. “Inverse consistent mapping in 3D deformable image registration: Its construction and statistical properties.” Lecture Notes in Computer Science, vol. 3565, 2005, pp. 493–503.
Leow A, Huang SC, Geng A, Becker J, Davis S, Toga A, Thompson P. Inverse consistent mapping in 3D deformable image registration: Its construction and statistical properties. Lecture Notes in Computer Science. 2005. p. 493–503.

Published In

Lecture Notes in Computer Science

ISSN

0302-9743

Publication Date

October 17, 2005

Volume

3565

Start / End Page

493 / 503

Related Subject Headings

  • Artificial Intelligence & Image Processing
  • 46 Information and computing sciences