On the estimation of optical flow: relations between different approaches and some new results
Artificial Intelligence
International Journal of Computer Vision
Performance of optical flow techniques
International Journal of Computer Vision
The computation of optical flow
ACM Computing Surveys (CSUR)
Accuracy vs efficiency trade-offs in optical flow algorithms
Computer Vision and Image Understanding
Computing optical flow via variational techniques
SIAM Journal on Applied Mathematics
A Theoretical Framework for Convex Regularizers in PDE-Based Computation of Image Motion
International Journal of Computer Vision
A wave propagation algorithm for hyperbolic systems on curved manifolds
Journal of Computational Physics
Identification of Growth Seeds in the Neonate Brain through Surfacic Helmholtz Decomposition
IPMI '09 Proceedings of the 21st International Conference on Information Processing in Medical Imaging
Reducing redundancy in wireless capsule endoscopy videos
Computers in Biology and Medicine
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We report on mathematical methods for the exploration of spatiotemporal dynamics of Magneto- and Electro-Encephalography (MEG / EEG) surface data and/or of the corresponding brain activity at the cortical level, with high temporal resolution. In this regard, we describe how the framework and numerical computation of the optical flow -- a classical tool for motion analysis in computer vision -- can be extended to non-flat 2-dimensional surfaces such as the scalp and the cortical mantle. We prove the concept and mathematical well-posedness of such an extension through regularizing constraints on the estimated velocity field, and discuss the quantitative evaluation of the optical flow. The method is illustrated by simulations and analysis of brain image sequences from a ball-catching paradigm.