Abstract
Longitudinal image analysis plays an important role in depicting the development of the brain structure, where image regression and interpolation are two commonly used techniques. In this paper, we develop an efficient model and approach based on a path regression on the image manifold instead of the geodesic regression to avoid the complexity of the geodesic computation. Concretely, first we model the deformation by diffeomorphism; then, a large deformation is represented by a path on the orbit of the diffeomorphism group action. This path is obtained by compositing several small deformations, which can be well approximated by its linearization. Second, we introduce some intermediate images as constraints to the model, which guides to form the best-fitting path. Thirdly, we propose an approximated quadratic model by local linearization method, where a closed form is deduced for the solution. It actually speeds up the algorithm. Finally, we evaluate the proposed model and algorithm on a synthetic data and a real longitudinal MRI data. The results show that our proposed method outperforms several state-of-the-art methods.
Original language | English |
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Pages (from-to) | 599-614 |
Number of pages | 16 |
Journal | Journal of the Operations Research Society of China |
Volume | 7 |
Issue number | 4 |
DOIs | |
Publication status | Published - 2019 Dec 1 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019, Operations Research Society of China, Periodicals Agency of Shanghai University, Science Press, and Springer-Verlag GmbH Germany, part of Springer Nature.
Keywords
- Diffeomorphism group
- Image registration
- Infant brain development
- Longitudinal image analysis
- Path regression
ASJC Scopus subject areas
- Management Science and Operations Research