Surface Triangulation By Linear Interpolation In Intersecting Planes

Klaus D. Toennies

doi:10.1117/12.961722

18 October 1989 Surface Triangulation By Linear Interpolation In Intersecting Planes

Klaus D. Toennies

Proceedings Volume 1137, Science and Engineering of Medical Imaging; (1989) https://doi.org/10.1117/12.961722
Event: 1989 International Congress on Optical Science and Engineering, 1989, Paris, France

Abstract

The morphology of anatomical objects from MRI scans or X-ray CT scans can be represented efficiently using triangulated surfaces. A triangulated surface is a closed surface (consisting in triangles) which is computed from polygons in a sequence of planes. The polygons interpolate object boundaries in a sequence of MR or CT slices. We present a new algorithm to create such a triangulation which overcomes many of the currently existing restrictions for these algorithms. It automatically generates a triangulated surface from arbitrary sets of closed polygons. The surface generation is initiated by a linear interpolation of the object's boundary in a set of parallel planes intersecting the object polygons. Object boundaries in the intersection planes and in the scan sequence form a grid which is used for the final triangulation. It can be shown that the approximation will be nearly optimal with respect to the input information. Slices, in which objects are outlined, may be curved and need not be parallel to each other. Results of the automatic reconstruction of anatomical objects from cranial CT scans and MR scans are presented.

Citation Download Citation

Klaus D. Toennies "Surface Triangulation By Linear Interpolation In Intersecting Planes", Proc. SPIE 1137, Science and Engineering of Medical Imaging, (18 October 1989); https://doi.org/10.1117/12.961722

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