Fuzzy description of image processing

摘要

In the paper an approach to fuzzy description of image is proposed. It is based on the concept of fuzzy functions. The concept of fuzzy function is enlarged on fuzzy signals. Fuzzy Fourier transform introduced by author in earlier works is used and expanded here on other kind of fuzzy functions in order to describe distortions introduced by optical systems. The definition of two-dimensional fuzzy Fourier transform, inversion of transform, and fuzzy convolution are proposed and used to described image transformation.