Ivanyuk N.O.

The Image Restoration Algorithms by Conventional Deconvolution

The modified conventional deconvolution method using discrete orthogonal transformations is proposed. The algorithms for method realization in Hadamard transformation field and in RTF basis are considered. RTF transformation is different from Fourier transformation and is the “calque” of difference methods. The main problem of algorithm realization – forming image degradation inverse matrix by symbolic method of any order of matrix forming – is solved. These algorithms for conventional deconvolution method significantly allow simplifying the computations independently of matrix order.

The Image Restoration Algorithms by Conventional Deconvolution Method in the Hadamard Transformation Field

The modification of conventional deconvolution method using discrete orthogonal Hadamard transformation is presented in this work. The computation of image degradation inverse matrix using symbolic method for this matrix forming of any order in the Hadamard transformation field is the main goal of the proposed algorithm realization. The algorithm takes into account block-diagonal structure of degradation matrix that allows considerably simplifying the matrix computation of any order.