Abstract

The reduction of the dimensionality of a parametric space is done 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 readings accounts for intra-sectional interrelations between signal readings. Computational experiments on real multidimensional signals prove the efficiency of the hybrid adaptive interpolator.

中文翻译：

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多维信号插值中的参数空间降维

摘要

参数空间维数的减少是在多维信号的自适应插值中完成的。混合自适应内插器是降维的基础。多维混合插值器使用结构上不同的算法来插值信号的多方向部分。信号的某些部分与其他部分的近似关系奠定了信号部分之间的相互关系的基础。截面内读数的自适应参数插值说明了信号读数之间的截面内相互关系。在真实多维信号上的计算实验证明了混合自适应内插器的有效性。