Connectedness, Continuity, and Proximities in Temporal Digital Topology
James Francis Peters, Tane Vergili
TL;DR
This paper develops a formal framework for temporal digital topology, focusing on connectedness, continuity, and proximities, with applications to analyzing elapsed times in video sequences.
Contribution
It introduces new axioms and structures for temporal digital topology, extending digital topology concepts to time-constrained spaces with practical applications.
Findings
Defined temporal digital adjacencies and connectedness
Established proximity relations in time-constrained digital spaces
Applied framework to analyze elapsed times in video sequences
Abstract
This paper introduces the structure and axioms for a temporal digital topology (TDT) with the focus on digital connectedness, continuity and proximities in TDT spaces. Results are given for temporal digital adjacencies, connectedness and proximities that occur in time-constrained digital topological spaces. The application for this work is a proximity space view of elapsed times present in every sequence of video frames.
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Taxonomy
TopicsDigital Image Processing Techniques · Cognitive Computing and Networks · Cellular Automata and Applications