Advances in Discrete Tomography and Its Applications

@inproceedings{Herman2007AdvancesID,
  title={Advances in Discrete Tomography and Its Applications},
  author={Gabor T. Herman and Attila Kuba},
  year={2007}
}
In this chapter we present an algebraic theory of patterns which can be applied in discrete tomography for any dimension. We use that the difference of two such patterns yields a configuration with vanishing line sums. We show by introducing generating polynomials and applying elementary properties of polyno-mials that such so-called switching configurations form a linear space. We give a basis of this linear space in terms of the so-called switching atom, the smallest non-trivial switching… CONTINUE READING
BETA

Topics from this paper.

Citations

Publications citing this paper.
SHOWING 1-10 OF 90 CITATIONS

Approximate Discrete Reconstruction Algorithm

VIEW 3 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED

A Q-Convexity Vector Descriptor for Image Analysis

  • Journal of Mathematical Imaging and Vision
  • 2018
VIEW 1 EXCERPT
CITES METHODS

On double-resolution imaging in discrete tomography

  • SIAM J. Discrete Math.
  • 2018
VIEW 2 EXCERPTS
CITES BACKGROUND

FILTER CITATIONS BY YEAR

2006
2019

CITATION STATISTICS

  • 1 Highly Influenced Citations

  • Averaged 5 Citations per year over the last 3 years

References

Publications referenced by this paper.
SHOWING 1-10 OF 23 REFERENCES

A new algorithm for 3D binary tomography

  • Electronic Notes in Discrete Mathematics
  • 2005
VIEW 1 EXCERPT

Unique reconstruction of bounded sets in discrete tomography

  • Electronic Notes in Discrete Mathematics
  • 2005
VIEW 1 EXCERPT

Proceedings of the Workshop on Discrete Tomography: Algorithms and Applications

A. Del Lungo, P. Gronchi, Herman, G. T. eds.
  • Linear Algebra Appl., 339, 1–219
  • 2001
VIEW 2 EXCERPTS

Similar Papers

Loading similar papers…