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Darroch, J. N. & Mosimann, J. E. Canonical and principal components of shape.
By investigating possible correlations, natural or forged, between perceptual components of shape and its correlates in sound, we enable the tool to become a new instrument, with different sound timbre depending on the geometry of the object.
Principal components of shape and cortical thickness were correlated to anthropological data (age, sex, height and body mass) to produce predictive statistical models.
Uniform components of shape variation record global variations in shape (e.g., shearing) and are also generated by comparing individual configurations to the consensus.
In total, 22 components of shape variation, called relative warps, were generated from the 13 landmarks.
We use PCA to separate the various components of shape variation in our different example analyses.
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The Shape flow sub-component of Shape is described by an index characterizing the contraction of the body, as defined in Eq. (2): C t)=frac{left leftVert {P}_{Hip Center,t}-{P}_{Left Hand,t}rightVert +leftVert {P}_{Hip Center,t}-{P}_{Right Hand,t}rightVert right)}{2}, (2)and has been inspired by the contraction index suggested in [18].
For the sake of comparison with previous studies, we analyzed the non-allometric component of shape using CVA.
Since the LPJ is a symmetrical structure we extracted the symmetric component of shape variation using MorphoJ [ 94].
Object symmetry was taken into account and the symmetric component of shape variation only was considered as our trait of interest [ 53].
In prior work on poeciliids, including P. vivipara, researchers have mathematically removed linear allometric effects and focused on the non-allometric component of shape, whereas in our study we analyzed total shape (which includes both components).
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