1 citations · 1 across the 2 of their papers we have counts for
3 papers
cs.DM2006
Connection between continuous and digital n-manifolds and the Poincare conjecture
Alexander Evako
We introduce LCL covers of closed n-dimensional manifolds by n-dimensional disks and study their properties. We show that any LCL cover of an n-dimensional sphere can be converted…
cs.DM2006★ 1 cited
The Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres
Alexander V. Evako
Motivated by the Poincare conjecture, we study properties of digital n-dimensional spheres and disks, which are digital models of their continuous counterparts. We introduce homeom…
cs.CV2005
The consistency principle for a digitization procedure. An algorithm for building normal digital spaces of continuous n-dimensional objects
Alexander V. Evako
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,…