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Both the transforms express the signal as coefficients in a function space spanned by a set of basis functions.
The POD technique is then used to produce a set of basis functions which spans the snapshot collection.
This results in a set of basis functions, whose the first are required to capture the primary appearance characteristics of the observed scene.
The transform rests on a set of basis functions, that depend on two main parameters ( and ) related to an angle and a radius value.
The main philosophy behind RBF is to adjust a set of basis functions and ultimately match any function in high dimension, at any precision.
K-SVD (Aharon et al. 2006) is a dictionary learning algorithm for creating a set of basis functions for sparse representations.
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For example, when a creature senses an object O1, a set of basis function values B1 for that stimulus is produced.
The matrix ψ represents a set of basis function, which is obtained by scaling, translation, and rotation transformation of function ψ.
its motor areas have a set of linear coefficients, easily implemented as a set of neural connection strengths, and when these are applied to a set of basis function values, a detailed behavior is specified.
Especially, we combine a set of basis function in spectral space included in (H_{0}^{2}(Theta)) with two basis functions in spectral space included in (H_{0}^{1}(Theta)) to formulate the basis functions.
where δ n = { 0 if n is odd, π 2 if n is even, and so, the wave function in the z-direction is expanded in a set of basis function as follows: ψ z = ∑ n = 1 ∞ c n ψ n z. (8).
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