Cold and Freezing Sets in the Digital Plane
Laurence Boxer
TL;DR
This paper explores properties of cold and freezing sets in digital images, analyzing their relationships and contributions to the theory of fixed points in digital topology.
Contribution
It introduces new properties of cold sets and examines their relationship with freezing sets in the context of digital images in the plane.
Findings
Properties of cold sets are characterized in digital images.
Relationships between cold sets and freezing sets are established.
Insights into fixed point theory in digital topology are provided.
Abstract
Cold sets and freezing sets belong to the theory of (approximate) fixed points for continuous self-maps on digital images. We study some properties of cold sets for digital images in the digital plane, and we examine some relationships between cold sets and freezing sets.
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Taxonomy
TopicsDigital Image Processing Techniques · Medical Image Segmentation Techniques