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The missing data, which twist the bi-scale empirical transformation, make the transformed point pattern much different from using the transformation based on the complete data.
To be specific, it is always possible to find a transformation such that the transformed point density matches exactly the optimal point density.
From this transformed point cloud, a virtual image is generated.
channels given by (40), the transformed point density function from (12) has the following form: (41).
Then, for each transformed point T k p i we query the nearest neighbour in Q.
If the source variable is subject to constraints given by vector equation, the transformed point density is given by (12).
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The median and maximal distances between the reference points and transformed points of the second images are reported, too.
Therefore, accuracy of registration can be evaluated by the error in point placement as the RMSE between the transformed points and the points of reference image [5, 24].
where P BIM is the transformed points in the site coordinate system, and P ptC is the selected points of the point cloud.
A minimal set of sampling points (known as sigma points) is selected and transformed using the nonlinear function, whereas the new mean and covariance are formed out of those transformed points.
Eq. 7 reveals that the projection of the transformed points on y A'B' -axis is directly proportional to the projection of the original points on y AB -axis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com