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	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.

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