2002 · 110 citations · 5 references
ComputingComputer ScienceComputational GeometryGeometric ModelingTopology3D ReconstructionGeometry ProcessingParallel Computational GeometryParallel Geometric AlgorithmsSurface Reconstruction3D Shape AnalysisGeometric PredicatesThinning
A parallel 3-D thinning algorithm which conserves medial surfaces is presented. A new characterization of simple points is proposed and some new topological predicates are given which are very simple to calculate. Some new geometrical predicates are also given. It is proved that the thinning operation based on those new predicates does not disconnect a 3-D object. Experiments show that the method gives a satisfactory result.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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A parallel thinning algorithm for 3-D pictures
Yea-Fu Tsao, K. S. Fu · Computer Graphics and Image Processing · 1981 · 223 citations
Three-dimensional digital topology
Azriel Rosenfeld · Information and Control · 1981 · 101 citations
Connectivity and genus in three dimensions
C. M. Park, Amir Rosenfeld · NASA Technical Reports Server (NASA) · 1971 · 32 citations