Sums, Projections, and Sections of Lattice Sets, and the Discrete Covariogram

被引：0

作者：

Richard J. Gardner

Paolo Gronchi

Chuanming Zong

机构：

[1] Department of Mathematics,

[2] Western Washington University,undefined

[3] Bellingham,undefined

[4] WA 98225-9063,undefined

[5] Istituto per le Applicazioni del Calcolo,undefined

[6] Sezione di Firenze,undefined

[7] Via Madonna del Piano - CNR Edificio F,undefined

[8] 50019 Sesto Fiorentino (FI),undefined

[9] School of Mathematics,undefined

[10] Peking University,undefined

[11] Beijing 100871,undefined

来源：

Discrete & Computational Geometry | 2005年 / 34卷

关键词：

Computational Mathematic; Basic Property; Convex Body; Finite Subset; Discrete Version;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Basic 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.

引用

页码：391 / 409

页数：18