Topology-Preserving Rigid Transformation of 2D Digital Images

@article{Ngo2014TopologyPreservingRT,
  title={Topology-Preserving Rigid Transformation of 2D Digital Images},
  author={Phuc Ngo and Nicolas Passat and Yukiko Kenmochi and Hugues Talbot},
  journal={IEEE Transactions on Image Processing},
  year={2014},
  volume={23},
  pages={885-897}
}
We provide conditions under which 2D digital images preserve their topological properties under rigid transformations. We consider the two most common digital topology models, namely dual adjacency and well-composedness. This paper leads to the proposal of optimal preprocessing strategies that ensure the topological invariance of images under arbitrary rigid transformations. These results and methods are proved to be valid for various kinds of images (binary, gray-level, label), thus providing… CONTINUE READING

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A Tutorial on Well-Composedness

  • Journal of Mathematical Imaging and Vision
  • 2017
VIEW 3 EXCERPTS
CITES BACKGROUND

References

Publications referenced by this paper.
SHOWING 1-10 OF 61 REFERENCES

Well-Composed Sets

  • Computer Vision and Image Understanding
  • 1995
VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

Well-composed images and rigid transformations

  • 2013 IEEE International Conference on Image Processing
  • 2013
VIEW 1 EXCERPT