Multidimensional signal interpolation based on parametric space dimension reduction

2019 ◽  
Author(s):  
Mikhail Gashnikov
Keyword(s):  
Dimension Reduction ◽  
Space Dimension ◽  
Parametric Space ◽  
Multidimensional Signal ◽  
Signal Interpolation

scholarly journals Parameter space dimension reduction of an adaptive interpolator during multidimensional signal differential compression

2019 ◽  
pp. 23-30
Author(s):  
A I Maksimov ◽  
M V Gashnikov
Keyword(s):  
Dimension Reduction ◽  
Parameter Space ◽  
Compression Ratio ◽  
Space Dimension ◽  
Computational Experiments ◽  
Parameter Range ◽  
Compression Method ◽  
Multidimensional Signals ◽  
Multidimensional Signal ◽  
Adaptive Interpolator

We propose a new adaptive multidimensional signal interpolator for differential compression tasks. To increase the efficiency of interpolation, we optimize its parameters space by the minimum absolute interpolation error criterion. To reduce the complexity of interpolation optimization, we reduce the dimension of its parameter range. The correspondence between signal samples in a local neighbourhood is parameterized. Besides, we compare several methods for such parameterization. The developed adaptive interpolator is embedded in the differential compression method. Computational experiments on real multidimensional signals confirm that the use of the proposed interpolator can increase the compression ratio.

Coset Space Dimension Reduction of Gauge Theories

1989 ◽  
pp. 1137-1141
Author(s):  
K. Farakos ◽  
D. Kapetanakis ◽  
G. Koutsoumbas ◽  
G. Zoupanos
Keyword(s):  
Dimension Reduction ◽  
Gauge Theories ◽  
Space Dimension ◽  
Coset Space
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