A method for the definition of cellular non-linear networks able to find approximate minima of rather a large class of continuous functionals is illustrated through three examples. The method, based on the spatial discretization of continuous functionals and on the theory of potential functions for resistive circuits, has been presented in Part 1 of this paper. The first example (related to electromagnetic-field theory) has the main purpose to show some aspects of the application procedure. The other two examples concern, respectively, a possible image-processing application of the method (where a parallel processing is highly desirable) and a comparison with another method proposed in the literature on CNNs.
Cellular non-linear networks for minimization of functionals. Part 2: Examples
STORACE, MARCO;PARODI, MAURO
2001-01-01
Abstract
A method for the definition of cellular non-linear networks able to find approximate minima of rather a large class of continuous functionals is illustrated through three examples. The method, based on the spatial discretization of continuous functionals and on the theory of potential functions for resistive circuits, has been presented in Part 1 of this paper. The first example (related to electromagnetic-field theory) has the main purpose to show some aspects of the application procedure. The other two examples concern, respectively, a possible image-processing application of the method (where a parallel processing is highly desirable) and a comparison with another method proposed in the literature on CNNs.
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