The article presents a new approach to minimizing a multicriteria objective function that allows the operation of suppressing the noise component with the possibility of preserving the boundaries of sharp changes in brightness. Using this feature can also be used as an edge detector. The approach proposed in the paper is built on an iterative approach with the proof of the convergence of the function and the optimization of the rate of convergence. The weighted difference between the obtained estimates with different processing parameters is used as a detector. Dependences are given that reflect the result of processing smooth functions and functions with discontinuity points. The show the results of the work of the detector on a set of test data with objects of simple shapes. The results of the for solving the problem of detecting coating defects and determining the boundaries of the formation of plasma spheres during the formation of a surface layer are presented.
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