Homometry and direct-sum decompositions of lattice-convex sets
From MaRDI portal
Publication:306515
DOI10.1007/s00454-016-9786-2zbMath1351.52015arXiv1412.7676OpenAlexW3103829687MaRDI QIDQ306515
Barbara Langfeld, Gennadiy Averkov
Publication date: 31 August 2016
Published in: Discrete \& Computational Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.7676
Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Diffraction, scattering (78A45) Combinatorial aspects of difference sets (number-theoretic, group-theoretic, etc.) (05B10) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the reconstruction of planar lattice-convex sets from the covariogram
- Inequalities for the lattice width of lattice-free convex sets in the plane
- Blowing up convex sets in the plane
- The covariogram determines three-dimensional convex polytopes
- Detecting and reconstructing centrally symmetric sets from the autocorrelation: two discrete cases
- Confirmation of Matheron's conjecture on the covariogram of a planar convex body
- Covering minima and lattice-point-free convex bodies
- The Magma algebra system. I: The user language
- Sums, projections, and sections of lattice sets, and the discrete covariogram
- Some necessary clarifications about the chords' problem and the partial digest problem
- On Maximal $S$-Free Sets and the Helly Number for the Family of $S$-Convex Sets
- Polymake and Lattice Polytopes
- Lectures on Polytopes
- Discrete tomography: Determination of finite sets by X-rays
- MATHERON'S CONJECTURE FOR THE COVARIOGRAM PROBLEM
- The Structure of Homometric Sets
- Convex and Discrete Geometry
- Convex Bodies The Brunn-MinkowskiTheory
