In this work we propose a new image smoothing
and edge detection technique that employs a combination of nonlinear
diffusion and bilateral filtering. The model is based upon two very
well established methodologies in the image processing community,
which makes the method easy to understand and implement. Our numerical
experiments show that the proposed model is capable of achieving
more accurate reconstructions from noisy images, as compared to
two other popular nonlinear diffusion models in the literature.
We also propose a new and simple diffusion stopping criterion, based
on the second derivative of the correlation between the noisy image
and the filtered image. This indirect measure allows stopping the
diffusion process very close to the point of
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