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Marching Cubes in Cylindrical and Spherical Coordinates

Abstract Isosurface extraction is a common analysis and Visualization technique for three-dimensional scalar data. Marching Cubes is the most commonly used algorithm for finding polygonal representations of isosurfaces in such data. We extend Marching Cubes to produce geometry for data sets sampled in spherical and cylindrical coordinate systems and show the steps for the derivation of transformations for other coordinate systems, Such data sets are very common in the physical sciences, and display within their natural coordinate system aids visualization considerably.