28 May 2004 Method of arithmetical thresholding of images
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A new concept of weighted thresholding is considered and a new set-theoretical representation of signals and images is described, that can be used for design of new nonlinear and morphological filters. Such representation maps many operations of nonbinary signal and image processing to the union of simple operations over the binary signals. The weighted thresholding is invariant under the morphological transformation, including such basic operations as the erosion and dilation. The main idea of using the weighted thresholding is in the choice of a special few levels of thresholding on which we can process the signals and images. We focus on the arithmetical weighted thresholding, but other thresholding, including the geometrical, probability-based, and the so-called Fibonacci series based thresholding, are also considered. Properties of these kinds of thresholding are described. Experimental results show that the weighted thresholding is very promising and can be used for many applications, such as image enhancement and edge detection.
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Fatma T. Arslan, Fatma T. Arslan, James G Vital, James G Vital, Artyom M. Grigoryan, Artyom M. Grigoryan, "Method of arithmetical thresholding of images", Proc. SPIE 5298, Image Processing: Algorithms and Systems III, (28 May 2004); doi: 10.1117/12.524287; https://doi.org/10.1117/12.524287

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