Sums, Projections, and Sections of Lattice Sets, and the Discrete Covariogram
Sums, Projections, and Sections of Lattice Sets, and the Discrete Covariogram
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格子集的总和、投影和截面以及离散协方差图
DOI：
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发表时间：
2005
影响因子：
0.8
通讯作者：
C. Zong
中科院分区：
文献类型：
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作者：
R. Gardner;P. Gronchi;C. Zong
从几何层析的角度研究了整数格n的有限子集的基本性质。
所得结果涉及凸格的Minkowski加法
集合和多角形、离散X射线以及离散和
连续协方差函数，对称凸性的确定
格集从他们的投影基数
超平面，和离散版本的迈耶不等式上
用坐标超平面表示凸体的截面。
AbstractBasic properties of finite subsets of the integer lattice ℤn are investigated from the point of view of geometric tomography.
Results obtained concern the Minkowski addition of convex lattice
sets and polyominoes, discrete X-rays and the discrete and
continuous covariogram, the determination of symmetric convex
lattice sets from the cardinality of their projections on
hyperplanes, and a discrete version of Meyer’s inequality on
sections of convex bodies by coordinate hyperplanes.