This project is implemented to perform the multi-resolution HS optical flow computing.

The Horn & Schunck (HS) method, which is also called variational optical flow, is widely used in the computer vision community. In this project, we mainly focus on the application of particle image velocimetry (PIV), which is a motion estimation technique for fluid flows.

Horn, B. and Schunck, B. (1981) Artificial Intelligent 17:185-203  
Ruhnau, P., et al. (2005) Experiments in Fluids 38(1):21-32.  
Heitz, D., et al. (2010) Experiments in Fluids 48(3):369-393.  
Sun, D., et al. (2010) Computer Vision & Pattern Recognition.  

This repository is provided for research purposes only.

The program is the basis of the complex motion estimator for fluid flows: Motion Estimation under Location Uncertainty for Turbulent Fluid Flow. If you use the codes in your research work, please cite the following paper:

@article{cai2018motion,
  title={Motion estimation under location uncertainty for turbulent fluid flows},
  author={Cai, Shengze and M{\'e}min, Etienne and D{\'e}rian, Pierre and Xu, Chao},
  journal={Experiments in Fluids},
  volume={59},
  number={1},
  pages={8},
  year={2018},
  publisher={Springer}
}

The images of this example are originally provided by FLUID - http:https://fluid.irisa.fr/data-eng.htm