Review of Methods Inspired by Algebraic-Multigrid for Data and Image Analysis Applications

@article{Galun2015ReviewOM,
  title={Review of Methods Inspired by Algebraic-Multigrid for Data and Image Analysis Applications},
  author={Meirav Galun and Ronen Basri and Irad Yavneh},
  journal={Numerical Mathematics-theory Methods and Applications},
  year={2015},
  volume={8},
  pages={283-312}
}
Algebraic Multigrid (AMG) methods were developed originally for numerically solving Partial Differential Equations (PDE), not necessarily on structured grids. In the last two decades solvers inspired by the AMG approach, were developed for non PDE problems, including data and image analysis problems, such as clustering, segmentation, quantization and others. These solvers share a common principle in that there is a crosstalk between fine and coarse representations of the problems, with flow of… 

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