On a Uniqueness Problem in Discrete Tomography

被引：0
|
作者：
Sun, Golden [1 ]
Yaskin, Vladyslav [2 ]
机构：
[1] Univ Alberta, Edmonton, AB T6G 2G1, Canada
[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada
来源：
AMERICAN MATHEMATICAL MONTHLY | 2024年 / 131卷 / 05期
关键词：
52C07;
D O I：
10.1080/00029890.2024.2311446
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let A be a subset of the integer lattice Z(n )contained inside a sphere S in Rn. Suppose that for each u is an element of S we know the number of points of A visible from u. Does this information determine the set A uniquely? In this note we answer this question affirmatively, provided the center of the sphere is not a rational point.
引用
收藏
页码：440 / 444
页数：5
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