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We present a method for extracting boundary surfaces from segmented cross-section image data. We use a constrained Potts model to interpolate an arbitrary number of region boundaries between segmented images. This produces a segmented volume from which we extract a triangulated boundary surface using well-known marching tetrahedra methods. This surface contains staircase-like artifacts and an abundance of unnecessary triangles. We describe an approach that addresses these problems with a voxel-accurate simplification algorithm that reduces surface complexity by an order of magnitude. Our boundary interpolation and simplification methods are novel contributions to the study of surface extraction from segmented cross-sections. We have applied our method to construct polycrystal grain boundary surfaces from micrographs of a sample of the metal tantalum.
Surface extraction, Polygonal meshes, Visualization in Physical Sciences, Life Sciences and Engineering

S. Dillard, D. Thoma, B. Hamann and J. Bingert, "Construction of Simplified Boundary Surfaces from Serial-sectioned Metal Micrographs," in IEEE Transactions on Visualization & Computer Graphics, vol. 13, no. , pp. 1528-1535, 2007.
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