@inbook{77257e7a046d41ea92778beaeb41f55b,

title = "Topology preservation and regularity in estimated deformation fields",

abstract = "A general formalism to impose topology preserving regularity on a given irregular deformation field is presented. The topology preservation conditions are derived with regard to the discrete approximations to the deformation field Jacobian in a two-dimensional image registration problem. The problem of enforcing topology preservation onto a given deformation field is formulated in terms of the deformation gradients, and solved using a cyclic projections approach. The generalization of the developed algorithm leads to a deformation field regularity control by limiting the per voxel volumetric change within a prescribed interval. Extension of the topology preservation conditions onto a three-dimensional registration problem is also presented, together with a comparative analysis of the proposed algorithm with respect to a Gaussian regularizer that enforces the same topology preservation conditions.",

author = "Bilge Kara{\c c}ali and Christos Davatzikos",

year = "2003",

month = jan,

day = "1",

doi = "10.1007/978-3-540-45087-0_36",

language = "English (US)",

isbn = "3540405607",

series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

publisher = "Springer Verlag",

pages = "426--437",

editor = "Taylor, {Chris J.} and Noble, {J. Alison}",

booktitle = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",

}