An incremental algorithm for Betti numbers of simplicial complexes on the 3-spheres
Computer Aided Geometric Design - Special issue on grid generation, finite elements, and geometric design
Digital Geometry: Geometric Methods for Digital Picture Analysis
Digital Geometry: Geometric Methods for Digital Picture Analysis
Computation of homology groups and generators
DGCI'05 Proceedings of the 12th international conference on Discrete Geometry for Computer Imagery
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This paper considers 2-regions of grid cubes and proposes an algorithm for calculating the number of tunnels of such a region. The graph-theoretical algorithm proceeds layer by layer; a proof of its correctness is provided, and its time complexity is also given.