The quasi-convolutions and the applications to the coded images

In this paper we introduce a new integral operator, which we call as a quasi-convoluation. The kernel of this operator is analogical to the kernel of the operator of usual convolution, but has a variable scale. Classical inversion by usual Fourier transformation is not possible in this case, but we give the examples of the inversion for the special cases in one and two dimensions. We give also the applications for a recognition of the images in medicine, where the quasi-convolutions are connected with a transformation of the coded images.