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Denoting by the orthonormal DCT basis functions of length, it is easily verified that selecting such that (14).
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Blended basis functions, two kinds of basis functions used successively, are used to sparsely represent the images.
We also show how the use of anisotropic radial basis functions allows for accurate simulation of the velocities on a large ice sheet, which was not possible with standard isotropic radial basis function methods due to a small ratio between the typical thickness and length of an ice sheet.
Given a series of length N, and a maximum lag M, the eigenvectors are data-adaptive basis functions for the representation of the series and are called empirical orthogonal functions (EOFs), by analogy with the PC analysis of meteorological fields.
Hence an exponential growth is used as the basis function approximating the crack length with respect to time.
Only two square wave lengths are allowed in any function and a new derivation of the basis functions applies a fractal-like algorithm (infinitely self-similar) focused on the distribution of wave lengths.
The implicit overlapping and variable-length basis functions from wavelets produce smoother and more pleasant reconstructions.
The discrete-timestep properties of these basis functions produce, under linear superposition, piecewise-constant waveforms with digitized segment lengths.
Possible choices for the 𝒫 basis set include polynomial or radial basis functions, where for the purpose of this paper we use compactly supported radial basis function [ 18, 27].
The number of basis functions is set to 100.
You represent 3-D poses by linear combinations of basis functions.
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