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The following algorithms were included: 1) motion detection between subsequent images by means of a center of intensity algorithm in three directions, 2) spatial smoothing with a 3×3 pixel Gaussian convolution filter, 3) intensity normalisation with a resulting mean image intensity value of 1000.
The center of intensity (W) was adapted from Périé et al. [ 42].
To quantify the localization of these calcium transients, we measured the center of intensity of calcium transients in MetaMorph and measured the displacement of the center of intensity from the midline of the growth cone (negative displacements were on the side of the growth cone facing away from the pipette).
The normalized distance (d) between the center of intensity W and the geometric center (G) of the IVD, which allows minimizing the effects of the variable IVD sizes and different local coordinate systems of each disc between subjects on the result, was calculated as follow: (2) d = W x,y,z − G x,y,z N where N is the total number of voxels in the studied zone.
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An object's location was identified using center-of-intensity calculations.
A Gaussian distribution curve of the pixel intensities was generated, of which the peak represents the center of maximum intensity within the growth cone and area beneath the curve the standard deviation.
But to reach the real center of October 31 intensity, a visit to Salem, Mass., is in order.
(2) where p, Θ p, r), I[Θ p, r)] are the same in Equation (1), g E, g I and g C are three metrics defined for the Euclidean length, image voxel intensity and the closeness to the local centers of image intensity distribution, respectively.
We then profiled the regional intensity along each tract, and detected P-sites as the centers of local intensity maxima (Fig. 7B).
We formulated a variational problem using the geodesic shortest path, which is defined as a combination of Euclidean distance, exponent of inverse intensity of pixels along the path and closeness to local centers of image intensity distribution.
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