Longitudinal Image Analysis via Path Regression on the Image Manifold

Shi Hui Ying, Xiao Fang Zhang, Ya Xin Peng, Ding Gang Shen

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
Pages (from-to)599-614
Number of pages16
JournalJournal of the Operations Research Society of China
Issue number4
Publication statusPublished - 2019 Dec 1
Externally publishedYes


  • Diffeomorphism group
  • Image registration
  • Infant brain development
  • Longitudinal image analysis
  • Path regression

ASJC Scopus subject areas

  • Management Science and Operations Research


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