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The Gustafson-Kessel clustering algorithm [ 17], based on the Mahalanobis norm, is applied on the set of data consisting of the pixels (observations) and the first three principal values (coordinates).
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And on Grush's account spatial content is implemented in the construction of basis function values, and these values coordinate transitions from perceptual input to behavioral output.
The continuous HRV monitoring data were summarized every 5-minute and the 5-minute values coordinating with the resting ECG were selected for analyses.
In deformation applications, we have harmonic coordinates [21], green coordinates [26], or mean value coordinates [17].
Point p has the mean value coordinates φ V (p)=(λ1,…2,…,λ N ).
As was introduced in [18], Cage Active Contours use mean value coordinates for deformation.
This family unifies previously known coordinates, including Wachspress coordinates, mean value coordinates and discrete harmonic coordinates, in a simple geometric framework.
That is, the real valued coordinates of the mesh are unaltered and no other modifications to the software are required.
Thus the displacements of grid points can be calculated by interpolating the boundary movement by the mean value coordinates.
We extend the geometric construction of Floater's mean value coordinates [Floater, M.S., Kós, G., Reimers, M., 2005. Mean value coordinates in 3d. Computer Aided Geometric Design 22 (7) (2005) 623 631; Ju, T., Schaefer, S., Warren, J., 2005a. Mean value coordinates for closed triangular meshes.
By property 2.3, if there exists a similarity f between cages, then by that similarity, the mean value coordinates of O1 with respect to V1 are equal to the mean value coordinates of f(O2) with respect to V2.
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