푸리에급수를이용한사람위이틀활의분석
Fourier Analysis of Maxillary Dental Arch Forms
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초록
사람 위이틀활의 기준점, 기준선, 기준각을 이용한 연구를 통하여 전치부의 형태와 이틀활의 형태 사이에 유의한 관계가 있음을 알게 되었다. 이에 사람 위이틀활 형태 결정에 영향을 미치는 필수요소들 사이의 관계를 밝 히기 위하여 사람 위이틀활 모델 62개의 형태를 푸리에 급수를 사용하여 비교 검토하였다. 푸리에 급수의 상수 및 제 1 주파수의 진폭은 각 형태간에 통계적으로 유의성 있는 차이를 관찰할 수 없었지만 제 2 주파수에서 제 4 주파수까지의 진폭에서는 각 형태간에 유의성 있는 차이를 관찰할 수 있었다. 또한 상수는 앞니부분의 폭경, 이틀활의 폭경 및 이틀활의 길이와 각각 정비례 관계를 보였다. 이상의 결과로 보아, 사람 위이틀활의 형태는 앞니부분으로부터 어금니부분으로의 이행부의 형태가 관여하고 있는 것으로 생각된다.
Abstract
Our previous principal component analysis conducting on reference points, lines and angles, and a vectordeveloped polar coordinate system has elucidated that the components of eigenvectors had positive relationships in the curvature of anterior teeth segment, between the protrusion of canines and degree of arch roundness, and in the lengthto- width ratio of 62 maxillary dentitions, which were preliminarily classified with reference to the conventional Thompson’s morphological descriptions for dental arch forms. In the present study on morphological characters of the maxillary dentitions, we conducted a Fourier analysis on the We observed that the amplitude of 2nd, 3rd and 4th Fourier harmonics were closely correlated with the length-to-width ratio, curvature of the anterior teeth segment, and the curvilinear contour of maxillary dental arches. In addition, the relationships between previously estimated data and the constant value and the amplitude of the Fourier series were examined by analysis of correlation coefficients (p⁄0.01). The results of the present study suggest that the morphology of maxillary dentitions consists of three essentials-the length-to-width ratio, the curvature of anterior teeth and the curvilinear contour of dental arches.
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