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Proceedings Paper

Mathematical Representation And Shape Analysis Of Irregular Body Surfaces
Author(s): W. Frobin; E. Hierholzer; B. Drerup
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Paper Abstract

As a result of conventional body surface measurements usually a list of coordinates of the surface points is obtained. However, in most cases the intrinsic shape properties of the body cannot be derived directly from coordinates. This is due to the fact that these data depend on the frame of reference. Therefore, position and orientation dependent information must be removed from original data in order to arrive at a coordinate independent (invariant) description of the body. Examples of invariant measures are distances, angles, volumes and curvatures. For the calculation of these properties a regular data structure based on a parametric surface representation is very advantageous. In the case of rasterstereography such a regular structure is naturally provided, whereas in the case of moire topography it has to be established in an extra procedure. In this paper the mathematics for parametric representation of body surfaces will be reported. Also, based on a parametric representation of the body surface the calculation of curvature from rasterstereographs and moire topograms and a practical implementation in an orthopaedic study will be given.

Paper Details

Date Published: 12 July 1983
PDF: 8 pages
Proc. SPIE 0361, Biostereometrics '82, (12 July 1983); doi: 10.1117/12.966012
Show Author Affiliations
W. Frobin, Orthopadische Universitatsklinik Munster (West Germany)
E. Hierholzer, Orthopadische Universitatsklinik Munster (West Germany)
B. Drerup, Orthopadische Universitatsklinik Munster (West Germany)

Published in SPIE Proceedings Vol. 0361:
Biostereometrics '82
Robin E. Herron, Editor(s)

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