Vf. Ferrario et al., Size and shape of the human first permanent molar: A Fourier analysis of the occlusal and equatorial outlines, AM J P ANTH, 108(3), 1999, pp. 281-294
Form can be viewed as a combination of size and shape. Shape refers to the
boundary outline independently from its orientation, relation to reference
planes, and dimension (or size). Shape and its changes could be quantified
by mathematical methods such as the Fourier series. In this investigation,
Fourier analysis has been used to quantify the morphologic characteristics
(size and shape) of the outline of the occlusal surface and maximum circumf
erence (equator) in 259 normal, healthy human first permanent maxillary and
mandibular molars and to assess the effect of sex. Large within-group vari
ability was found in the Fourier coefficients. Both equatorial and occlusal
molar areas were on average larger in male than in female homologous teeth
, but the difference was statistically significant only for the equatorial
areas. The mean ratios between equatorial and occlusal dental areas were in
dependent from arch (maxillary and mandibular), side, or sex. Both equatori
al and occlusal outlines of left and right homologous molars within sex and
arch were similar, without size and shape differences. Similarly, no sex d
ifferences in shape were found in the comparison of homologous teeth. The m
ethod used in the present study could supply information about dental shape
in both its entirety and local variations. In particular, the method is ex
tremely sensitive to local variations in dental shape, and it could be usef
ully employed to compare single teeth to a standard. (C) 1999 Wiley-Liss, I
nc.