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<p>The problems of 3-D digital topology preservation under binary transformations and 3-D object thinning are considered in this correspondence. First, the authors establish the conditions under which transformation of an object voxel to a non-object voxel, or its inverse does not affect the image topology. An efficient algorithm to detect a simple point has been proposed on the basis of those conditions. In this connection, some other interesting properties of 3-D digital geometry are also discussed. Using these properties and the simple point detection algorithm, the authors have proposed an algorithm to generate a surface-skeleton so that the topology of the original image is preserved, the shape of the image is maintained as much as possible, and the results are less affected by noise.</p>
computational geometry; image processing; topology; 3-D simple points; 3-D digital topology preservation; binary transformations; 3-D object thinning; object voxel; nonobject voxel; 3-D digital geometry; point detection algorithm; surface-skeleton

B. Chaudhuri and P. Saha, "Detection of 3-D Simple Points for Topology Preserving Transformations with Application to Thinning," in IEEE Transactions on Pattern Analysis & Machine Intelligence, vol. 16, no. , pp. 1028-1032, 1994.
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