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
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsMedical Image Segmentation Techniques · Digital Image Processing Techniques · Image Retrieval and Classification Techniques
