0506779 20241106135738.720190724235959.9 85066914571 10.1007/978-3-030-20205-7_12 12 s. P cav_un_epca*0506785978-3-030-20204-00302-9743140-151ChamSpringer2019 Gaussian blur Semi-group Projection operator Image moments Moment invariants cav_un_auth*0336802 Kostková Jitka UTIA-B Zpracování obrazové informace Department of Image Processing ZOI ZOI Department of Image Processing K Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0101087 Flusser Jan UTIA-B Zpracování obrazové informace Department of Image Processing ZOI ZOI Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0377447 Lébl Matěj UTIA-B Zpracování obrazové informace Department of Image Processing ZOI ZOI Department of Image Processing Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0293889 Pedone M. IT http://library.utia.cas.cz/separaty/2019/ZOI/kostkova-0506779.pdf cav_un_auth*0360229 GA18-07247S GA ČR The paper presents a new theory of invariants to Gaussian blur. Unlike earlier methods, the blur kernel may be arbitrary oriented, scaled and elongated. Such blurring is a semi-group action in the image space, where the orbits are classes of blur-equivalent images. We propose a non-linear projection operator which extracts blur-insensitive component of the image. The invariants are then formally defined as moments of this component but can be computed directly from the blurred image without an explicit construction of the projections. Image description by the new invariants does not require any prior knowledge of the particular blur kernel shape and does not include any deconvolution. Potential applications are in blur-invariant image recognition and in robust template matching. cav_un_auth*0377448 Scandinavian Conference on Image Analysis - SCIA'19 20190611 20190614 Norkoping SE JD 10000 10200 10201 2020 4 4 A sml 4as 20241106135738.7 PR RVO:67985556 http://hdl.handle.net/11104/0297951 cav_un_auth*0349870 University of Oulu FI S copyright 20190325 Consent to publish 0.295 Q2 2019 Soubory v repozitáři: kostkova-0506779-Copyright.pdf 85066914571 SCOPUS PUBMED WOS cav_un_epca*0506785 Image Analysis : 21st Scandinavian Conference, SCIA 2019 978-3-030-20204-0 0302-9743 1611-3349 140 151 Cham Springer 2019 Lecture Notes in Computer Science 11482