Harmonic analysis and clustering of facial profiles

The profiles of 83 healthy young adults were traced from right-side photographs, and then digitized with an image analyzer; each profile thus consisted of a series of coordinates. A dedicated computer program using Fourier analysis resulted in an equation of a curve that interpolated all profile points. By means of cluster analysis, profile equations were divided; two clusters each were found for male and female subjects. A mean profile was calculated for each of the clusters, so that four mean profiles were obtained. These profiles were compared with esthetic parameters found in literature; the results showed that the conventional parameters could sometimes give misleading information for orthodontic and craniofacial orthopedic treatment plans.