A probability distribution of shape for the dental maxillary arch using digital images
Selected landmarks from each of 47 maxillary dental casts were used to define a Cartesian-coordinate system from which the positions of selected teeth were determined on standardized digital images. The position of the i-th tooth was defined by a line of length ( i l ) joining the tooth to the...
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| Main Authors: | , , , , |
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| Format: | Conference or Workshop Item |
| Language: | en |
| Published: |
2012
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| Subjects: | |
| Online Access: | http://eprints.um.edu.my/14124/1/16540122.pdf http://eprints.um.edu.my/14124/ |
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| Summary: | Selected landmarks from each of 47 maxillary
dental casts were used to define a Cartesian-coordinate system
from which the positions of selected teeth were determined on
standardized digital images. The position of the i-th tooth was
defined by a line of length (
i l ) joining the tooth to the origin,
and the angle (
i T ) of this line to the horizontal Cartesian axis.
Four teeth, the central incisor, lateral incisor, canine and first
molar were selected and their position were collectively used to
represent the shape of the dental arch. A pilot study using
clustering and principal component analysis strongly suggest
the existence of 3 groups of arch shape. In this study, the
homogeneity of the 3 groups was further investigated and
confirmed by the Dunn and Davies-Bouldein validity indices.
This is followed by an investigation of the probability
distribution of these 3 groups. The main result of this study
suggests 3 groups of multivariate (MV) normal distribution.
The MV normal probability distribution of these groups may
be used in further studies to investigate the issues of variation
of arch shape, which is fundamental to the practice of
prosthodontics and orthodontics. |
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