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Sufficient condition for local invertibility of spatio-temporal 4D B-spline deformations

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3 Author(s)
Se Young Chun ; Massachusetts General Hospital and Harvard Medical School, USA ; Colas Schretter ; Jeffrey A. Fessler

Recent advances in medical imaging technologies have made 4D image sequences available in clinical routine. As a consequence, image registration techniques are evolving from alignment of pairs of static volumetric images to spatio-temporal registration of dynamic (4D) images. Since the elastic image registration problem is ill-posed, additional prior information or constraints are usually required to regularize the problem. This work proposes to enforce local invertibility (diffeomorphism) of 4D deformations. A novel sufficient condition for local invertibility over continuous space and time is proposed and a practical regularization prior is designed from the theory. The method has been applied to an image registration (motion tracking) of a dynamic 4D CT image sequence. Results show that using proposed regularizer leads to deformations that are more plausible for respiratory motion than the standard approach without additional temporal regularization.

Published in:

2010 IEEE International Symposium on Biomedical Imaging: From Nano to Macro

Date of Conference:

14-17 April 2010