Linear time recognition algorithms for topological invariants in 3D

  title={Linear time recognition algorithms for topological invariants in 3D},
  author={Li M. Chen and Yongwu Rong},
  journal={2008 19th International Conference on Pattern Recognition},
  • Li M. ChenYongwu Rong
  • Published 11 April 2008
  • Mathematics
  • 2008 19th International Conference on Pattern Recognition
In this paper, we design linear time algorithms to recognize and determine topological invariants such as genus and homology groups in 3D. These invariants can be used to identify patterns in 3D image recognition and medical image analysis. Our method is based on cubical images with direct adjacency, also called (6,26)-connectivity images in discrete geometry. According to the fact that there are only six types of local surface points in 3D and a discrete version of the well-known Gauss-Bonnett… 

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