2 citations · 5 across the 5 of their papers we have counts for
5 papers
Topology-preserving digitization of n-dimensional objects by constructing cubical models
Alexander V. Evako
This paper proposes a new cubical space model for the representation of continuous objects and surfaces in the n-dimensional Euclidean space by discrete sets of points. The cubical…
Properties of simple sets in digital spaces. Contractions of simple sets preserving the homotopy type of a digital space
Alexander V. Evako
A point of a digital space is called simple if it can be deleted from the space without altering topology. This paper introduces the notion simple set of points of a digital space.…
Simple pairs of points in digital spaces. Topology-preserving transformations of digital spaces by contracting simple pairs of points
Alexander V. Evako
Transformations of digital spaces preserving local and global topology play an important role in thinning, skeletonization and simplification of digital images. In the present pape…
Topology preserving representations of compact 2D manifolds by digital 2-surfaces. Compressed digital models and digital weights of compact 2D manifolds. Classification of closed surfaces by digital tools
Alexander V. Evako
Using digital topology approach, we construct digital models of closed surfaces as the intersection graphs of LCL covers of the surfaces. It is proved that digital models of closed…
Classification of digital n-manifolds
Alexander V. Evako
This paper presents the classification of digital n-manifolds based on the notion of complexity and homotopy equivalence. We introduce compressed n-manifolds and study their proper…