Geometric Direct Search Algorithms for Image Registration

@article{Lee2007GeometricDS,
  title={Geometric Direct Search Algorithms for Image Registration},
  author={Seok Lee and Minseok Choi and Hyungmin Kim and Frank Chongwoo Park},
  journal={IEEE Transactions on Image Processing},
  year={2007},
  volume={16},
  pages={2215-2224}
}
A widely used approach to image registration involves finding the general linear transformation that maximizes the mutual information between two images, with the transformation being rigid-body [i.e., belonging to SE(3)] or volume-preserving [i.e., belonging to SL(3)]. In this paper, we present coordinate-invariant, geometric versions of the Nelder-Mead optimization algorithm on the groups SL(3), SE(3), and their various subgroups, that are applicable to a wide class of image registration… CONTINUE READING

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