On the Cohomology of 3D Digital Images

@article{GonzlezDaz2005OnTC,
  title={On the Cohomology of 3D Digital Images},
  author={Roc{\'i}o Gonz{\'a}lez-D{\'i}az and Pedro Real Jurado},
  journal={Discrete Applied Mathematics},
  year={2005},
  volume={147},
  pages={245-263}
}
We propose a method for computing the cohomology ring of three–dimensional (3D) digital binary–valued pictures. We obtain the cohomology ring of a 3D digital binary–valued picture I, via a simplicial complex K(I) topologically representing (up to isomorphisms of pictures) the picture I. The usefulness of a simplicial description of the " digital " cohomology ring of 3D digital binary– valued pictures is tested by means of a small program visualizing the different steps of the method. Some… CONTINUE READING
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