Unitary transformation between Cartesian- and polar-pixellated screens.

@article{Vicent2008UnitaryTB,
  title={Unitary transformation between Cartesian- and polar-pixellated screens.},
  author={Luis Edgar Vicent and Kurt Bernardo Wolf},
  journal={Journal of the Optical Society of America. A, Optics, image science, and vision},
  year={2008},
  volume={25 8},
  pages={1875-84}
}
A unitary transformation between Cartesian and polar pixellations of finite two-dimensional images is obtained from the su(2) model for discrete and finite signals. This transformation analyzes the original image into its finite Cartesian "Laguerre-Kravchuk" modes (involving Wigner little-d functions) and synthesizes it back using a polar mode basis with the same set of mode coefficients. The polar basis is derived from the quantum angular momentum theory, and its modes are given by Clebsch… CONTINUE READING
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