Volume thinning for automatic isosurface propagation

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An isosurface can be efficiently generated by visiting adjacent intersected cells in order, as if the isosurface were propagating itself. We previously proposed an extrema graph method (T. Itoh and K. Koyamada, 1995), which generates a graph connecting extremum points. The isosurface propagation starts from some of the intersected cells that are found both by visiting the cells through which arcs of the graph pass and by visiting the cells on the boundary of a volume. We propose an efficient method of searching for cells intersected by an isosurface. This method generates a volumetric skeleton. consisting of cells, like an extrema graph, by applying a thinning algorithm used in the image recognition area. Since it preserves the topological features of the volume and the connectivity of the extremum points, it necessarily intersects every isosurface. The method is more efficient than the extrema graph method, since it does not require that cells on the boundary be visited.

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