Symmetric Log-Domain Diffeomorphic Registration: A Demons-Based Approach

Abstract. Modern morphometric studies use non-linear image registration to compare anatomies and perform group analysis. Recently, logEuclidean approaches have contributed to promote the use of such computational anatomy tools by permitting simple computations of statistics on a rather large class of invertible spatial transformations. In this work, we propose a non-linear registration algorithm perfectly fit for logEuclidean statistics on diffeomorphisms. Our algorithm works completely in the log-domain, i.e. it uses a stationary velocity field. This implies that we guarantee the invertibility of the deformation and have access to the true inverse transformation. This also means that our output can be directly used for log-Euclidean statistics without relying on the heavy computation of the log of the spatial transformation. As it is often desirable, our algorithm is symmetric with respect to the order of the input images. Furthermore, we use an alternate optimization approach related...

• Type: Conference
• Year: 2008
• Where: MICCAI
• Authors: Tom Vercauteren, Xavier Pennec, Aymeric Perchant, Nicholas Ayache
• Keywords: Demons Algorithm, Fast Non-linear Registration, Medical Imaging, MICCAI 2008, Non-linear Registration Algorithm