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

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.

• Type: Journal
• Year: 2008
• Where: TCS
• Authors: Eric Andres
• Keywords: Discrete Analytical Object, Euclidean Affine Subspace, Euclidean N-space, TCS 2008, Theoretical Computer Science