Topology preserving warping of 3-D binary images according to continuous one-to-one mappings

Sylvain Faisan 1 Nicolas Passat 1 Vincent Noblet 1 Renée Chabrier 2 Christophe Meyer 3, 4
1 LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection
2 LINC - Laboratoire d'Imagerie et de Neurosciences Cognitives
3 Hôpitaux Universitaires de Besançon
4 Li4S
Abstract : The estimation of one-to-one mappings is one of the most intensively studied topics in the research field of nonrigid registration. Although the computation of such mappings can be now accurately and efficiently performed, the solutions for using them in the context of binary image deformation is much less satisfactory. In particular, warping a binary image with such transformations may alter its discrete topological properties if common resampling strategies are considered. In order to deal with this issue, this paper proposes a method for warping such images according to continuous and bijective mappings while preserving their discrete topological properties (i.e., their homotopy type). Results obtained in the context of the atlas-based segmentation of complex anatomical structures highlight the advantages of the proposed approach.
Keywords : binary-image warping simple points skull segmentation discrete-topology preservation one-to-one mapping
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Sylvain Faisan, Nicolas Passat, Vincent Noblet, Renée Chabrier, Christophe Meyer. Topology preserving warping of 3-D binary images according to continuous one-to-one mappings. IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers, 2011, 20 (8), pp.2135-2145. ⟨10.1109/TIP.2011.2158338⟩. ⟨hal-01694410⟩

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