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The pose is determined by the 3D coordinates of the focus (X-ray source) and the Euler angles of the fluoroscopic image plane, which are both expressed in the frame of reference of the CT volume (see Figure 3).
Therefore, given an interest-point W P q with normal vector n ̄ q expressed in the frame W, the data will be rotated by using the following matrix: W q R = [ x ̄ q n ̄ q × x ̄ q n ̄ q ] T (15).
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The privacy conceptions expressed in the frames differed along two key axes: individualistic or collective framing of privacy and privacy viewed as a highly important or relatively mundane issue.
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.
Firstly, a novel and effective 6 DOF relative motion dynamic model constructed by relative position motion model expressed in the LOS frame and attitude dynamic model described by Modified Rodriguez parameters (MRPs) is firstly established.
To the weekly STCD (STation Coordinate Difference) residual position time series of 23 stations referred to ITRF2008 and expressed in the local frame (North, East and Up), we calculated the Allan variance to identify their noise type, and applied the wavelet transform to assess their annual and semi-annual signals, and their noise level.
combined_inertia : np.matrix (3,3) Inertia tensor about the combined_COM, expressed in the global frame.
Inertial properties for any other combination are expressed in the fixed frame.
combined_COM : np.array (3,1) Position of the center of mass of the input solids and/or segments, expressed in the global frame.
The spectral simulations were obtained, using Scilab software, by Fourier transforming the simulated time-domain signal amplitudes, which were computed by numerically integrating the system of Equations (10) and (11) expressed in the rotating frame.
They were obtained by numerically integrating the system of differential equations [Eqs. (10) and (11) expressed in the rotating frame] using parameters (ℳ, Q, η) deduced from the experimental conditions.
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