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

页码：440 / 444

页数：5

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