15 citations · 125 across the 37 of their papers we have counts for
4 papers · 1 filter
Proximal Planar Shape Signatures. Homology Nerves and Descriptive Proximity
James F. Peters
This article introduces planar shape signatures derived from homology nerves, which are intersecting 1-cycles in a collection of homology groups endowed with a proximal relator (se…
Geodesics of Triangulated Image Object Shapes. Approximating Image Shapes via Rectilinear and Curvilinear Triangulations
M. Z. Ahmad, J. F. Peters
This paper introduces the geodesics of triangulated image object shapes. Both rectilinear and curvilinear triangulations of shapes are considered. The triangulation of image object…
Proximal Planar Shapes. Correspondence between Shapes and Nerve Complexes
James F. Peters
This article considers proximal planar shapes in terms of the proximity of shape nerves and shape nerve complexes. A shape nerve is collection of 2-simplexes with nonempty intersec…
Proximal Planar Cech Nerves. An Approach to Approximating the Shapes of Irregular, Finite, Bounded Planar Regions
J. F. Peters
This article introduces proximal Cech nerves and Cech complexes, restricted to finite, bounded regions of the Euclidean plane. A Cech nerve is a collection of intersecting ball…