arXiv subjects
Publications and source records attributed to James F. Peters.
This article reports on simulations that show how, starting with a form of neural lattice structure, it is possible to reversibly generate many alternative isomers with a lower structural symmetry, which results from twisting two hexagons around a central bond.
The focus of this article is on the detection and classification of patterns based on groupoids. The approach hinges on descriptive proximity of points in a set based on the neighborliness property. This approach lends support to image analysis and understanding and in studying nearness of image segments. A practical application of the approach is in terms of the analysis of natural images for pattern identification and classification.
This paper introduces a visibility relation $v$ (and the strong visibility relation $\mathop{v}\limits^{\doublewedge}$) on proximal Delaunay meshes. A main result in this paper is that the visibility relation $v$ is equivalent to Wallman proximity. In addition, a Delaunay triangulation region endowed with the visibility relation $v$ has a local Leader uniform topology.