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19 July 2024 A novel orthogonal spline moments and its application for image representation
Jiajun Li, Wei Chen
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Proceedings Volume 13213, International Conference on Image Processing and Artificial Intelligence (ICIPAl 2024); 1321302 (2024) https://doi.org/10.1117/12.3035397
Event: International Conference on Image Processing and Artificial Intelligence (ICIPAl2024), 2024, Suzhou, China
Abstract
This article proposes a new collection of orthogonal image representations known as Generating Function Moments (GFMs). The functions related to the image kernel of GFMs originate from the generating function system, a set of orthogonal spline basis functions with a unit denoted as k, allowing for values of 0, 1, 2, and beyond. The utilization of GFMs is not necessitate any form of numerical estimation and maintains a comparatively reduced complexity in computation due to the advantages inherent in their lower-order basis set. These attributes make, GFMs a more effective alternative to conventional moments in polynomial like Zernike and Legendre moments, particularly concerning image reconstruction. The experiments presented in this work also demonstrate that GFMs possess an enhanced capability for representing higher features.
(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.
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Jiajun Li and Wei Chen "A novel orthogonal spline moments and its application for image representation", Proc. SPIE 13213, International Conference on Image Processing and Artificial Intelligence (ICIPAl 2024), 1321302 (19 July 2024); https://doi.org/10.1117/12.3035397
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KEYWORDS
Image restoration
Image quality
Image processing
Numerical integration
Image analysis
Lithium
Numerical stability
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