The supercover of an m-flat is a discrete analytical object

被引：11
|
作者：
Andres, Eric [1 ]
机构：
[1] Univ Poitiers, XLIM SIC, CNRS 6172, F-86960 Futuroscope, France
来源：
THEORETICAL COMPUTER SCIENCE | 2008年 / 406卷 / 1-2期
关键词：
Discrete geometry; Computer graphics; Supercover; m-flat; Discrete analytical object; Arbitrary dimension;
D O I：
10.1016/j.tcs.2008.07.025
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
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. (c) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：8 / 14
页数：7
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