Sentence examples for frame of coordinates from inspiring English sources

Space discretization of the equilibrium equations is derived based on the Euler Bernoulli assumptions considering two-node Hermitian beam elements which are referred to a co-rotation coordinate system attached to the element local frame of coordinates.

In the first place, it is necessary to express both point clouds within a frame of coordinates whose origin is each of the two points that have been matched and whose z-axis is aligned with the normal vectors at these points.

The respiratory-gated MR-ARFI evaluation of the electronic steering in liver with intercostal sonication on a regular grid of foci (sheep #2) evidenced that the frame of coordinates used for the HIFU beam forming was slightly misaligned as compared to the MRI frame of coordinates.

Accordingly, the motion vector is defined as an offset from the current frame of MB coordinates to the MB coordinates in the reference frame.

Suppose a correspondence between a point W 1P α of cloud 1 and a point W 2P β of cloud 2. Let W 1 α T be the transformation matrix that enables the expression within the interest-point frame of the coordinates of a point in the cloud 1 expressed in the original frame W1.

Frame-by-frame coordinates of each joint center were calculated using Qualysis proprietary software.

Frame-by-frame coordinates of hindlimb joint centers (marked with non-toxic white paint) were calculated using a Matlab image analysis program (Hedrick, 2008).

Markers were tracked using an infrared motion analysis system (Vicon®, Oxford, UK, 60 Hz) and frame-by-frame coordinates of joint centers were calculated using Vicon proprietary software.

For that purpose, instead of using the highly variable GSW coordinate system and Ψ GSW based on the three-component SW velocity vector, we remained in the frame of standard GSM coordinates and introduced the effective tilt Ψ SW=Ψ GSM+ arctan(V z SW/V x SW).

We show that actor improvements with natural policy gradients are particularly appealing as these are independent of coordinate frame of the chosen policy representation, and can be estimated more efficiently than regular policy gradients.

The position of the registered patella coordinate frame relative to the coordinate frame of the femur was calculated by the navigation system during the motion cycle.