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Optimization of the multidimensional signal interpolator in a lower dimensional space

M.V. Gashnikov1,2

1 Samara National Research University,
Moskovskoye Shosse 34, 443086, Samara, Russia,

2 IPSI RAS – Branch of the FSRC “Crystallography and Photonics” RAS,
Molodogvardeyskaya 151, 443001, Samara, Russia

 PDF, 1266 kB

DOI: 10.18287/2412-6179-2019-43-4-653-660

Pages: 653-660.

Full text of article: Russian language.

Abstract:
Adaptive multidimensional signal interpolators are developed. These interpolators take into account the presence and direction of boundaries of flat signal regions in each local neighborhood based on the automatic selection of the interpolating function for each signal sample. The selection of the interpolating function is performed by a parameterized rule, which is optimized in a parametric lower dimensional space. The dimension reduction is performed using rank filtering of local differences in the neighborhood of each signal sample. The interpolating functions of adaptive interpolators are written for the multidimensional, three-dimensional and two-dimensional cases. The use of adaptive interpolators in the problem of compression of multidimensional signals is also considered. Results of an experimental study of adaptive interpolators for real multidimensional signals of various types are presented.

Keywords:
optimization, interpolation, multidimensional signal, dimension reduction, compression

Citation:
Gashnikov MV. Optimization of the multidimensional signal interpolator in a lower dimensional space. Computer Optics 2019; 43(4): 653-660. DOI: 10.18287/2412-6179-2019-43-4-653-660.

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