Topology preserving warping of 3-D binary images according to continuous one-to-one mappings - Archive ouverte HAL Access content directly
Journal Articles IEEE Transactions on Image Processing Year : 2011

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

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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.
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Dates and versions

hal-01694410 , version 1 (26-02-2018)

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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, 2011, 20 (8), pp.2135-2145. ⟨10.1109/TIP.2011.2158338⟩. ⟨hal-01694410⟩
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