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The measured profile of a sample bent to a radius of about 50 cm was compared with a circle fitted by the least square method.
The center of the humeral head was estimated as the center of a circle fitted to curvature of the head by the least squares method (Fig. 1d).
The length of the hindfoot (l1) was the distance between the line fitted through points marking the AT and the center of the circle fitted through the points marking the talus roll [ 22, 23].
In addition, the distances from the center of the tissue to the white spots are examined to identify the artifacts in crescent form which resulted from the small gaps between the tissue sample and the circle fitted to the sample.
For this purpose, a modified Reuleaux method [ 23] was used, assuming that the center of rotation of the ankle corresponds to the midpoint of a circle fitted around the talus (see Figure 1).
Three anatomical landmarks were used in our study, including the anterior limit of the tibial plateau (P1), the posterior limit of the tibial plateau (P2), and the center of the best circle fitted to the posterior margin of the femoral intercondylar notch (Pc).
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Then, the fixed axes and moving axes of the rotary pairs are identified by using spherical image circle fitting and striction circle fitting, according to the kinematic invariants of nominal rotation and the measured motions.
How the circle fits into that little space with the slanted "W" and "A".
By contrast volumes extracted from the merged scans only vary weakly (−2% to 6%) and show a marginal influence of circle fitting.
To contribute to such an approach, 12 scans were acquired with a FARO photon 120 at two test plots (Beech, Douglas fir) to assess the effects of scan mode and circle fitting on the extraction of stem diameter and volume.
An optimization method permits to extend circle fitting to the segmentation of objects which have any shape.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com