Mathematical Representation And Shape Analysis Of Irregular Body Surfaces

W. Frobin; E. Hierholzer; B. Drerup

doi:10.1117/12.966012

12 July 1983 Mathematical Representation And Shape Analysis Of Irregular Body Surfaces

W. Frobin, E. Hierholzer, B. Drerup

Proceedings Volume 0361, Biostereometrics '82; (1983) https://doi.org/10.1117/12.966012
Event: 26th Annual Technical Symposium, 1982, San Diego, United States

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.

Citation Download Citation

W. Frobin, E. Hierholzer, and B. Drerup "Mathematical Representation And Shape Analysis Of Irregular Body Surfaces", Proc. SPIE 0361, Biostereometrics '82, (12 July 1983); https://doi.org/10.1117/12.966012

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