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Triangulacija med vzporedno ležečimi krivuljami = Triangulation among parallel contours
Klemenčič, Aleš ; Kovačič, Stanislav
The Delunay triangulation of a point set is a collection of edges satisfying an "empty circle" property: for each edge we can find a circle containing the edges endpoints but not containing any other ...points. For a reconstruction of asurface in a 3D space, the general Delaunay triangulation is not appropriate,because we need only a subset of all triangles. If the surface is convex, then triangles forming convex hull are sufficient, if the surface is non-convex, internal as well as some external edges have to be removed. Often a set of 2D images exist, where the object of interest can be delineated on consecutive images. In this paper we present an algorithm that can be used to build a trinagulized surface based on a set of parallel contours. We show the application of the algorithm for surface reconstruction of ventricles in humanbrain.
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