Algebraic Image Processing
Enrico Celeghini
TL;DR
This paper introduces an algebraic framework for image processing using operators in the space of images, emphasizing mathematical simplicity and potential applications in optics and computer science.
Contribution
It presents a novel algebraic approach to image processing, leveraging operators and simplified mathematical structures like rigged Hilbert spaces and Lie algebras.
Findings
Algebraic operators can effectively manipulate images.
The approach simplifies complex mathematical concepts for practical use.
Potential applications in optics and computer science are highlighted.
Abstract
We propose an approach to image processing related to algebraic operators acting in the space of images. In view of the interest in the applications in optics and computer science, mathematical aspects of the paper have been simplified as much as possible. Underlying theory, related to rigged Hilbert spaces and Lie algebras, is discussed elsewhere
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Taxonomy
TopicsMedical Image Segmentation Techniques · Digital Image Processing Techniques · Image Retrieval and Classification Techniques