中文摘要：

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.

英文摘要：

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.