Computer Science – Computer Vision and Pattern Recognition
Scientific paper
2005-11-16
Computer Science
Computer Vision and Pattern Recognition
13 pages, 11 figures
Scientific paper
This paper considers conditions, which allow to preserve important topological and geometric properties in the process of digitization. For this purpose, we introduce a triplet {C,M,D} consisting of a continuous object C, an intermediate model M, which is a collection of subregions whose union is C, a digital model D, which is the intersection graph of M, and apply the consistency principle and criteria of similarity to M in order to make its mathematical structure consistent with the natural structure of D. Specifically, this paper introduces a locally centered lump collection of subregions and shows that for any locally centered lump cover of an n-dimensional continuous manifold, the digital model of the manifold is a digital normal n-dimensional space. In addition, we give examples of locally centered lump tilings of two-manifolds. We propose an algorithm for constructing normal digital models of continuous objects.
No associations
LandOfFree
The consistency principle for a digitization procedure. An algorithm for building normal digital spaces of continuous n-dimensional objects does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The consistency principle for a digitization procedure. An algorithm for building normal digital spaces of continuous n-dimensional objects, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The consistency principle for a digitization procedure. An algorithm for building normal digital spaces of continuous n-dimensional objects will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-587948