15 citations · 125 across the 37 of their papers we have counts for
9 papers · 1 filter
Towards the neural code endowed in cortical microcolumns
Arturo Tozzi, James F. Peters, Ottorino Ori
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 str…
A Note on Computable Proximity of -Discs on the Digital Plane
J. F. Peters, K. Kordzaya, I. Dochviri
This paper investigates problems in the characterization of the proximity of digital discs. Based on the -metric structure for the 2D digital plane and using a Jacca…
Two Forms of Proximal Physical Geometry. Axioms, Sewing Regions Together, Classes of Regions, Duality, and Parallel Fibre Bundles
J. F. Peters
This paper introduces two proximal forms of Lenzen physical geometry, namely, an \emph{axiomatized strongly proximal physical geometry} that is built on simplicial complexes with t…
String-Based Borsuk-Ulam Theorem
J. F. Peters, A. Tozzi
This paper introduces a string-based extension of the Borsuk-Ulam Theorem (denoted by strBUT). A string is a region with zero width and either bounded or unbounded length on the su…
Region-Based Borsuk-Ulam Theorem and Wired Friend Theorem
J. F. Peters, A. Tozzi
This paper introduces a string-based extension of the Borsuk-Ulam Theorem (denoted by strBUT). A string is a region with zero width and either bounded or unbounded length on the su…
Strongly Proximal Edelsbrunner-Harer Nerves in Voronoi Tessellations
J. F. Peters, E. Inan
This paper introduces Edelsbrunner-Harer nerve in collections of Voronoi regions (called nucleus clusters) endowed with one or more proximity relations. The main results in this pa…
Voronoi Region-Based Adaptive Unsupervised Color Image Segmentation
R. Hettiarachchi, J. F. Peters
Color image segmentation is a crucial step in many computer vision and pattern recognition applications. This article introduces an adaptive and unsupervised clustering approach ba…
Proximal groupoid patterns In digital images
Enoch A-iyeh, James F. Peters
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 neighb…
Strongly Near Voronoi Nucleus Clusters
J. F. Peters, E. Inan
This paper introduces nucleus clustering in Voronoi tessellations of plane surfaces with applications in the geometry of digital images. A \emph{nucleus cluster} is a collection of…