Dense Estimation of Fluid Flows
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Low Dimensional Fluid Motion Estimator
International Journal of Computer Vision
Over-Parameterized Variational Optical Flow
International Journal of Computer Vision
An iterative image registration technique with an application to stereo vision
IJCAI'81 Proceedings of the 7th international joint conference on Artificial intelligence - Volume 2
Scale and rotation invariant detection of singular patterns in vector flow fields
SSPR&SPR'10 Proceedings of the 2010 joint IAPR international conference on Structural, syntactic, and statistical pattern recognition
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Image-based fluid motion estimation is of interest to science and engineering. Flow-estimation methods often rely on physics-based or spline-based parametric models, as well as on smoothing regularizers. The calculation of physics models can be involved, and commonly used 2nd-order regularizers can be biased towards lower-order flow fields. In this paper, we propose a local parametric model based on a linear combination of complex-domain basis flows, and a resulting global field that is produced by blending together local models using partition-of-unity.We show that the global field can be regularized to an arbitrary order without bias towards specific flows. Additionally, the blending approach to fluid-motion estimation is more flexible than competing spline-based methods. We obtained promising results on both synthetic and real fluid data.