The supercover of an m-flat is a discrete analytical object
The supercover of an m-flat is a discrete analytical object
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m 平的超级覆盖是一个离散的分析对象
DOI：
10.1016/j.tcs.2008.07.025
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Eric Andres
中科院分区：
文献类型：
--
作者：
Eric Andres
本文的目的是证明欧氏n-空间中m-平坦(即m维欧氏仿射子空间)的超覆盖是离散的分析对象。欧几里得对象F的超覆盖是由与F相交的所有体素组成的离散对象。离散分析对象是由有限组不等式定义的一组离散点。给出了确定m-平坦的超覆盖的一个方法。
The aim of this paper is to show that the supercover of an m-flat (i.e. a Euclidean affine subspace of dimension m) in Euclidean n-space is a discrete analytical object. The supercover of a Euclidean object F is a discrete object consisting of all the voxels that intersect F. A discrete analytical object is a set of discrete points that is defined by a finite set of inequalities. A method to determine the inequalities defining the supercover of an m-flat is provided.