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Digital manifold

In mathematics, a digital manifold is a special kind of combinatorial manifold which is defined in digital space i.e. grid cell space. A… 
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Related topics

Related topics

5 relations
Digital geometryDiscrete mathematicsGrid cell topologyTopological data analysis

Broader (1)

Digital topology

Papers overview

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2015
2015
Vector Analysis of Problem Spaces Based on Human-Machine Interaction
As a problem, space is the implicit world of cognition, it is difficult to observe and collect its data. From the new perspective… 
2013
2013
Cognitive Digital Manifold Based on CHI
To observe cosmic of the brain,explore cognitive secret is an important goal of the science of this century.General condition… 
2013
2013
Cognitive Topology Mapping based on HumanComputer Interaction
The system point of view, the human-computer interaction (HCI) structure is composed of "brain cognitive body coupling situation… 
2011
2011
Digital Manifolds and the Theorem of Jordan-Brouwer
We give an answer to the question given by T.Y.Kong in his article "Can 3-D Digital Topology be Based on Axiomatically Defined… 
Review
2010
Review
2010
Spin Foam State Sums and Chern-Simons Theory
We review the spin foam state-sum invariants of 3-manifolds, and explain their relationship to manifold invariants coming from… 
2009
2009
How Can One Look at if GW Generation Has Semi Classical Features, and What This Implies About Compression of Vacuum Wave States, and Coherence/de Coherence? Also, What About High Versus Low…
We argue in this document that initial vacuum state values possibly responsible for GW generation in relic conditions in the… 
2006
2006
The Poincare conjecture for digital spaces. Properties of digital n-dimensional disks and spheres
Motivated by the Poincare conjecture, we study properties of digital n-dimensional spheres and disks, which are digital models of… 
2003
2003
Ju l 2 00 3 hep-th / 9112059 Strings with Discrete Target Space
We investigate the field theory of strings having as a target space an arbitrary discrete onedimensional manifold. The existence… 
2002
2002
Le modèle de Potts bidimensionnel
Nous presentons quelques developpements recents dans le domaine du modele de Potts et du modele O(N) bidimensionnels. Quelques… 
2001
2001
ON SURFACES IN DIGITAL TOPOLOGY
In [Ayala∞] a new framework for digital topology has been proposed. This framework offers the possibility of transfering, in an… 
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