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数字拓扑学中有关k-近邻点问题的探讨
引用本文:罗小华.数字拓扑学中有关k-近邻点问题的探讨[J].佳木斯大学学报,2011,29(1):90-95.
作者姓名:罗小华
作者单位:暨南大学信息科学技术学院;
基金项目:国家自然科学基金天元基金项目(10926141)
摘    要:从数字几何的角度,对数字拓扑学中有关k-近邻点问题进行整体的探讨及改进.重点给出了任意n维空间中k-近邻点中k可能取值的一般推导公式及相关结论的证明,为进一步研究k-近邻点相关内容提供了有力的理论依据.

关 键 词:数字拓扑学  k-近邻点  整数空间  二元关系

Some Problems about K-neighbor in Digital Topology
LUO Xiao-hua.Some Problems about K-neighbor in Digital Topology[J].Journal of Jiamusi University(Natural Science Edition),2011,29(1):90-95.
Authors:LUO Xiao-hua
Institution:LUO Xiao-hua (College of Information Science and Technology,Jinan University,Guangzhou 510632,China)
Abstract:From digital geometry point,this article researched about the related k-neighbor question in digital space.The most critical was given the general derivation of the formulae and the relevant conclusions which k-neighboring points in any dimensional space may possibly were gotten,providing a strong theoretical basis for the further relevant research.
Keywords:digital topology  k-neighbor  integer space  binary relation  
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