Parameterization of the nonlinear interpolator invariant to four directions contours for multidimensional digital signals
Aleksey Maksimov, Mikhail V. Gashnikov · 2018
In this paper, a parameterization of the nonlinear interpolator invariant to four directions contours for the digital signals is described. The interpolator automatically selects one of the possible calculation methods for each signal sample based on the presence of the contour in a sample. Training procedure is performed to calculate the optimal value of the interpolator parameter. A criterion for minimizing the post-interpolation residues energy and a criterion for minimizing of the post-interpolation residues entropy are used to find the optimal value. The proposed interpolator is applied to the task of signal compression and the task of combining heterogeneous signals. In order to examine interpolators, computational experiments are carried out on a test set. The advantage in terms of the quadratic error of suggested interpolator over prototypes is shown.