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Asymmetry quantization and application to human mandibles

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Authors:
  • Glerup, Nanna ;
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    IT University of Copenhagen
  • Nielsen, Mads ;
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    IT University of Copenhagen
  • Sporring, Jon ;
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    Orcid logo0000-0003-1261-6702
    The Image Section, Department of Computer Science, Faculty of Science, Københavns Universitet
  • Kreiborg, Sven
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    Section 02 - Paediatric Dentistry, Department of Odontology, Faculty of Health and Medical Sciences, Københavns Universitet
DOI:
10.1117/12.535325
Abstract:
All biological objects exhibit some degree of asymmetry, but for some parts of the human body, excessive asymmetry is a sign of pathology. Hence, the problem is to draw the line between categorization of objects being too asymmetric and objects exhibiting normal asymmetry. With a measure of asymmetry, the statistics on asymmetry for normal and pathological anatomical structures can be compared. Symmetry is a well-known mathematical group theoretical concept. In this paper, we will mathematically define the concept of weak symmetry, including topological symmetry, which serves as a basis for quantizing asymmetry. The methodology is based on non-rigid registration in the sense that the "size" of a diffeomorphism describes the amount of asymmetry. We will define this size in terms of the minimum biological work needed. That is, we evaluate how much work the biological system must carry out in order to make the object symmetrical; or identically, how much work has been carried out in order to make the ideal symmetrical object into the current (slightly) asymmetrical object. The quantization of asymmetry is validated on a set of normal (assumed near symmetrical) mandibles, and a set of pathological assumed non-symmetric mandibles exhibiting a statistically significant increase of asymmetry.
Type:
Conference paper
Language:
English
Published in:
Proceedings of Spie, 2004, p. 274-282
Main Research Area:
Science/technology
Publication Status:
Published
Series:
Medical Imaging 2004: Image Processing
Review type:
Peer Review
Conference:
SPIE Medical Imaging, 2004
Submission year:
2004
Scientific Level:
Scientific
ID:
9662332

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