Identification of square-exponential FIR-filter parameters in the absence of a test image

This paper considers FIR-filter creation technology with the use of a frequency response from the parametrical class of radial-symmetric functions. It is necessary to use the filters with the frequency response when correcting defocusing and blur distortions. This paper takes the model of a one-dimensional frequency response constructed from pieces of square and exponential functions. For points where the square and exponential functions are equal, the restriction of radial symmetry is imposed. The two-dimensional impulse response is formed by sampling the continuous one-dimensional impulse responses for all possible directions. This paper offers a new criterion for filter parameter identification, which doesn't require comparison of the processed and test images. Examples, illustrating the ability of high-degree distortion correction, are given.