Discrete Analytical Hyperplanes
Discrete Analytical Hyperplanes
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离散分析超平面
DOI：
10.1006/gmip.1997.0427
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发表时间：
1997
期刊：
影响因子：
--
通讯作者：
C. Sibata
中科院分区：
文献类型：
--
作者：
Eric Andres;R. Acharya;C. Sibata
本文给出了离散解析超平面的性质。它们在离散域由丢番图方程解析定义。我们证明了离散超平面是经典数字超平面的推广。我们提出了精确点定位和空间平铺等原始属性。主要的结果是在超平面的算术厚度和它的拓扑之间建立了联系。
This paper presents the properties of the discrete analytical hyperplanes. They are defined analytically in the discrete domain by Diophantine equations. We show that the discrete hyperplane is a generalization of the classical digital hyperplanes. We present original properties such as exact point localization and space tiling. The main result is the links made between the arithmetical thickness of a hyperplane and its topology.