Dental arch shape: A statistical analysis using conic sections

This report addresses two problems in the study of the shape of human dental arches: (1) the description of arch shape by mathematical functions and (2) the description of variation among the dental arch shapes in a population. A new algorithm for fitting conic sections is used to model the maxillar...

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Bibliographic Details
Published inAmerican journal of orthodontics Vol. 79; no. 5; pp. 535 - 548
Main Author Sampson, Paul D.
Format Journal Article
LanguageEnglish
Published United States Elsevier Science (USA) 01.05.1981
Subjects
Adolescent
average shape
Cephalometry
Child
Child, Preschool
conic sections
Dental arch
Dental Arch - anatomy & histology
Female
Humans
Male
Mathematics
Models, Biological
shape
Statistics as Topic
variation in shape
variation in shape
shape
Dental arch
average shape
conic sections
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Summary:This report addresses two problems in the study of the shape of human dental arches: (1) the description of arch shape by mathematical functions and (2) the description of variation among the dental arch shapes in a population. A new algorithm for fitting conic sections is used to model the maxillary dental arches of a sample of sixty-six subjects. A statistical model for shapes represented by arcs of conic sections is demonstrated on the sample of sixty-six dental arches. It permits the definition of an “average shape” and the graphic representation of variation in shape. The model and methods of analysis presented should help dental scientists to better define and quantify “normal” or “ideal” shapes and “normal ranges of variation” for the shape of the dental arch.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0002-9416
1557-8488
DOI:10.1016/S0002-9416(81)90464-4