Sentence examples for using the transformation matrix from inspiring English sources

Coordinates were transformed into individual subject space using the transformation matrix from the "Segment" function implemented in SPM5, after the origin of each individual image was aligned to the anterior commissure.

In other words, is decomposed into,, and by using the transformation matrix.

It consists in a transformation of the principal stress tensor (Ss) into the stress tensor in the geographic coordinate system (Sg) using the transformation matrix Rs.

In order to evaluate the co-registration error in the z direction of our MI approach, the mouse surface image was fused with the PET image using the transformation matrix T photo-PET.

The gradient along the surface, ∇ S, can be expressed in terms of ∇ τ, using the transformation matrix [T] that accounts for the change in path length along each coordinate akin to the arbitrary Lagrangian-Eulerian method (Donea et al. 2004), {nabla}_S=left[boldsymbol{T}right]{nabla}_{tau}.

Moreover, in this case we consider the matrix Φ ≥ O has only one nonzero element in position ( 1, n 1 ), given by φ ∏ i = 1 n 2 − 1 s i j with φ the fertility coefficient from the last age class of the group G 2 going to group G 1. Using the transformation matrix T = diag ( T 1, T 2 ) where T j = P ( I − N j ), j = 1, 2, we obtain a system ( A ˆ, B ˆ ) as (3).

This projection is performed as in the previous subsections using the transformation matrices introduced in Section 2 once the 3D frames used in the code and in the stereo-correlation procedure coincide.

Then, Z is transformed to a real-valued matrix using the transformation [16] φ ( Z ) = Q M H · Z · Q 2 N, (15).

Each left-out landmark on in vivo CT was then transformed using the corresponding transformation matrix.

Thus, the correlation between the marginal statistics when population structure is corrected is closer to the correlation between the genotype which is transformed using the right transformation matrix.

Thus, using this transformation matrix, the Kronecker product of the three factor-specific parameters is calculated as (25).