Image enhancement and denoising by complex diffusion processes

@article{Gilboa2004ImageEA,
  title={Image enhancement and denoising by complex diffusion processes},
  author={Guy Gilboa and Nir A. Sochen and Yehoshua Y. Zeevi},
  journal={IEEE Transactions on Pattern Analysis and Machine Intelligence},
  year={2004},
  volume={26},
  pages={1020-1036}
}
The linear and nonlinear scale spaces, generated by the inherently real-valued diffusion equation, are generalized to complex diffusion processes, by incorporating the free Schrodinger equation. A fundamental solution for the linear case of the complex diffusion equation is developed. Analysis of its behavior shows that the generalized diffusion process combines properties of both forward and inverse diffusion. We prove that the imaginary part is a smoothed second derivative, scaled by time… CONTINUE READING
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