X-RAYS OF POLYGONS

被引：13

作者：

GARDNER, RJ ^{[1
]}

机构：

[1] IST ANAL GLOBALE & APPLICAZ,FLORENCE,ITALY

来源：

DISCRETE & COMPUTATIONAL GEOMETRY | 1992年 / 7卷 / 03期

关键词：

D O I：

10.1007/BF02187842

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Various results are given concerning X-rays of polygons in R2. It is shown that no finite set of X-rays determines every star-shaped polygon, partially answering a question of S. Skiena. For any n, there are simple polygons which cannot be verified by any set of n X-rays. Convex polygons are uniquely determined by X-rays at any two points. Finally, it is proved that given a convex polygon, certain sets of three X-rays will distinguish it from other Lebesgue measurable sets.

引用

页码：281 / 293

页数：13

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