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Some of the spherical harmonics basis functions are shown in Fig. 9.
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A representative image of the order of the basis functions is shown in Fig. 2(a).
The kriging interpolation is shown to be essentially the same as the radial point interpolation method (RPIM) on condition that the same basis functions are used [28].
Next, we show that the optimal non-overlapping basis functions in the minimal mean square error sense can be found by solving an eigenvalue problem without numerical search when the feasible overlapping basis functions are given.
Finally, the basis functions are built by Proper Orthogonal Decomposition.
Two sets of locally computed basis functions are employed.
Standard radial basis functions are used for the mesh deformation.
These basis functions are chosen to be linear Lagrange elements.
The basis functions are specified with α = (m,n,G).
Symmetric basis functions are very useful in various applications.
The Bernstein basis functions are also related to this theorem.
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