Sentence examples for rotation operator of from inspiring English sources

where ⋆ is the correlation operator, α is a spatial scaling factor, R is a rotation operator of an angle θ, and x 0 is the position of the maximum value of C x,y), corresponding to a translation.

We focus on the benefits of angle axis parameters by considering a multipole operator expansion of the rotation operator ˆD Φ,ˆn), and a Clebsch Gordan expansion of the rotation matrices DJMM′ Φ,ˆn).

The theory makes use of the rotation operator when transforming vectors and the coefficient matrices of the Gauss functions which represent the intensity distribution of the laser and the aperture function of the fiber optics.

Defined as the matrix elements of the rotation operator ˆR in R3 and parametrized in terms of the three Euler angles α, β, and γ, these functions arise not only in the transformation of tensor components under the rotation of the coordinates, but also as the eigenfunctions of the spherical top.

For a rotation R in the three-dimensional rotational group SO(3), let Λ R be the rotation operator, such that (Λ Rg )(x) := g[ R-1 x)]. R-1 x

Since rotation of curvelet operator and rotation of image has the same effect, the observed angle between the curvelet operator and the image for the highest correlation value remains fixed.

The difference in phasing arises because the LB conformation involves a 180-degree rotation of one operator element about the sequence dyad with respect to the WA and WT conformations.

Walgreens is another operator of worksite clinics.

Sulgs, operator of the Pioneer Realty Company.

In our case, standard operators of translation and/or rotation are employed to enhance the points (pixels) that define the contour of the dorsal fin in the images.

The general assumption of this method of inversion is that the seismic data used is zero-phase and has been compensated for by the phase rotation of the designed operator.