Digital Geometry, a Survey
Li Chen, David Coeurjolly
TL;DR
This survey reviews modern digital geometry and topology, highlighting mathematical foundations, algorithms, and recent advances in applications like image processing, computer vision, and data science, emphasizing its contributions to modeling and analysis.
Contribution
It provides a comprehensive overview of recent developments in digital geometry and topology, including new algorithms and applications in various fields.
Findings
Digital geometry significantly advances image segmentation techniques.
Recent algorithms improve analysis in Big Data and computer vision.
Digital topology contributes to robust modeling in data science.
Abstract
This paper provides an overview of modern digital geometry and topology through mathematical principles, algorithms, and measurements. It also covers recent developments in the applications of digital geometry and topology including image processing, computer vision, and data science. Recent research strongly showed that digital geometry has made considerable contributions to modelings and algorithms in image segmentation, algorithmic analysis, and BigData analytics.
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Taxonomy
TopicsDigital Image Processing Techniques · Computational Geometry and Mesh Generation · Topological and Geometric Data Analysis