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The variable ( boldsymbol{V} ) represents a vector to a landmark using the measured distance, represented by the variable ( r ).
We then sought to determine the amount of variation for each landmark using the variance component method.
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This graph shows that the proposed approach allows us to find quality landmarks using the weight coefficient, e.g., G greater than 5.0 statistically guarantees quality landmarks.
Furthermore, we measured distances from pre-determined bony landmarks using the CT-scan 3D reconstruction model and we correlated the two type of measurements.
Therefore, we need to predict familiarity scores of workers on landmarks using the latent similarity between workers and that of landmarks.
Fig. 14 Examples showing initial mistaken CLNF landmarks (orange points) and corrected landmarks using the proposed method (green points) for the inner lower lip Fig. 15 Red curve: B parameter (expressed in pixels) determined by the ground truth value.
We quantified the strength of covariation between subsets of landmarks using the RV coefficient, which can be interpreted as a multivariate generalization of the bivariate R 2 value [ 61].
To account for bending of specimens, I unbent landmarks using the landmarks at the tip of the snout and middle of the eye and one temporary landmark set in the middle of the caudal peduncle (but removed in final analyses) using the 'unbend specimens' function in tpsUtil (Rohlf 2004b).
The anatomical landmarks used in 3D are the same as those used in 2D images; while 2D image landmarking uses the gray-level features, 3D benefits from surface curvature features.
With more experience and optimization of the landmarks used, the intra-operator and inter-operator reproducibility might be further improved as noted in studies using radiographic landmarks (Houston, 1983).
The cranial landmarks used the most in current conventional cephalometric analysis are located at or below the base of the skull and the petrous part of the temporal bone.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com