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Nonrigid Registration of Images with Different Topologies using Embedded Maps

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2 Author(s)
Christopher L. Wyatt ; Member IEEE, Department of Electrical and Computer Engineering, Virginia Tech - Wake Forest University School of Biomedical Engineering and Sciences, Virginia Tech, Blacksburg, VA 24061, USA. ; Paul J. Laurienti

Changes in image topology occur in medical images due to normal variation in anatomy, image artifacts, and the presence of pathology. Non-rigid registration of images undergoing topological change for the purpose of atlas-based segmentation or deformation analysis is challenging since non-smooth geometric transformations must be introduced. As most registration methods impose a smoothness constraint on the allowable transformations they either do not model such changes or perform poorly in their presence. In this paper we describe an approach to non-rigid registration treating the images as embedded maps that deform in a Riemannian space. We show that smooth transformations representing topological changes in the original images can be obtained and describe the evolution in terms of a partial differential equation. Two-dimensional examples from brain morphometry are used to illustrate the method

Published in:

Engineering in Medicine and Biology Society, 2006. EMBS '06. 28th Annual International Conference of the IEEE

Date of Conference:

Aug. 30 2006-Sept. 3 2006