Journal
IEEE TRANSACTIONS ON IMAGE PROCESSING
Volume 25, Issue 1, Pages 53-64Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2015.2467217
Keywords
Registration; shape matching; non-rigid; Gaussian mixture model; global/local
Funding
- National Natural Science Foundation of China [61503288]
- China Post-Doctoral Science Foundation [2015M570665]
- Natural Science Fund of Hubei Province [2014CFB268]
- National Institutes of Health [5R01EY022247-03]
- NATIONAL EYE INSTITUTE [R01EY022247] Funding Source: NIH RePORTER
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In previous work on point registration, the input point sets are often represented using Gaussian mixture models and the registration is then addressed through a probabilistic approach, which aims to exploit global relationships on the point sets. For non-rigid shapes, however, the local structures among neighboring points are also strong and stable and thus helpful in recovering the point correspondence. In this paper, we formulate point registration as the estimation of a mixture of densities, where local features, such as shape context, are used to assign the membership probabilities of the mixture model. This enables us to preserve both global and local structures during matching. The transformation between the two point sets is specified in a reproducing kernel Hilbert space and a sparse approximation is adopted to achieve a fast implementation. Extensive experiments on both synthesized and real data show the robustness of our approach under various types of distortions, such as deformation, noise, outliers, rotation, and occlusion. It greatly outperforms the state-of-the-art methods, especially when the data is badly degraded.
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