University of Oulu

J. Kostková, J. Flusser and M. Pedone, "Combined Invariants to Gaussian Blur and Affine Transformation," 2020 25th International Conference on Pattern Recognition (ICPR), 2021, pp. 459-464, doi: 10.1109/ICPR48806.2021.9412436

Combined invariants to Gaussian blur and affine transformation

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Author: Kostková, Jitka1; Flusser, Jan1; Pedone, Matteo2
Organizations: 1Czech Academy of Sciences Institute of Information Theory and Automation Pod vodárenskouvezí 4, 182 08 Prague 8, Czech Republic
2Center for Machine Vision Research Department of Computer Science and Engineering University of Oulu Oulu FI-90014, Finland
Format: article
Version: accepted version
Access: open
Online Access: PDF Full Text (PDF, 1.6 MB)
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Language: English
Published: IEEE Computer Society, 2021
Publish Date: 2021-10-21


The paper presents a new theory of combined moment invariants to Gaussian blur and spatial affine transformation. The blur kernel may be arbitrary oriented, scaled and elongated. No prior information about the kernel parameters and about the underlaying affine transform is required. The main idea, expressed by the Substitution Theorem, is to substitute pure blur invariants into traditional affine moment invariants. Potential applications of the new descriptors are in blur-invariant image recognition and in robust template matching.

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Series: International Conference on Pattern Recognition
ISSN: 1051-4651
ISSN-L: 1051-4651
ISBN: 978-1-7281-8809-6
ISBN Print: 978-1-7281-8808-9
Pages: 459 - 464
DOI: 10.1109/ICPR48806.2021.9412436
Host publication: 2020 25th International Conference on Pattern Recognition (ICPR)
Conference: International Conference on Pattern Recognition
Type of Publication: A4 Article in conference proceedings
Field of Science: 113 Computer and information sciences
Funding: This work has been supported by the Czech Science Foundation under the grant No. GA18-07247S, by the Grant SGS18/188/OHK4/3T/14 provided by the Ministry of Education, Youth, and Sports of the Czech Republic (MSˇMT Cˇ R), and by the Praemium Academiae.
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