Wavelet transform of a gray-scale image in a finite GF(2) field
В. Н. Горбачев, Alexander Ya. Kazakov, M. Yu. Savel’eva · Journal of Optical Technology · 2021
A biorthogonal wavelet transform in a finite GF(2) field is studied for gray-scale images. The wavelet transform is implemented on the basis of binary filters of length 4 and 8, with the initial image resolved into bit planes. As an example, an arrangement of embedded digital watermarks into blocks of wavelet coefficients is considered. It is shown that the proposed technique makes it possible to eliminate the averaging errors that accompany the standard approach.