On the Projections of Convex Lattice Sets | |
Zhou, Jing | |
2010 | |
关键词 | Discrete tomography convex lattice sets projection counts |
英文摘要 | As a discrete analogue of Aleksandrov's projection theorem, it is natural to ask the following question: Can an o-symmetric convex lattice set of the integer lattice Z(n) be uniquely determined by its lattice projection counts? In 2005, Gardner, Gronchi and Zong discovered a counterexample with cardinality 11 in the plane. In this paper, we will show that it is the only counterexample in Z(2), up to unirnodular transformations and with cardinality not larger than 17.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000282100600012&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Mathematics, Applied; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 2; ARTICLE; 10; 1969-1980; 26 |
语种 | 英语 |
出处 | SCI |
出版者 | acta mathematica sinica english series |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/157640] ![]() |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Zhou, Jing. On the Projections of Convex Lattice Sets. 2010-01-01. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论