Multidimensional signal interpolation based on parametric space dimension reduction

we reduce the dimension of a parametric space in the adaptive interpolation of a multidimensional signal. A hybrid adaptive interpolator underlies the dimensionality reduction. The multidimensional hybrid interpolator uses structurally different algorithms to interpolate multidirectional sections of the signal. The approximation of some sections of the signal by other sections underlies the interrelations between signal sections. The adaptive parametric interpolation of intra-sectional samples accounts for intra-sectional interrelations between signal samples. Computational experiments in real multidimensional signals prove the efficiency of the hybrid adaptive interpolator.