Recognition of Images Degraded by Gaussian Blur

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F16%3A00454335" target="_blank" >RIV/67985556:_____/16:00454335 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/TIP.2015.2512108" target="_blank" >http://dx.doi.org/10.1109/TIP.2015.2512108</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/TIP.2015.2512108" target="_blank" >10.1109/TIP.2015.2512108</a>

Result language
angličtina
Original language name
Recognition of Images Degraded by Gaussian Blur
Original language description
In this paper, we propose a new theory of invariants to Gaussian blur. We introduce a notion of a primordial image as a canonical form of all Gaussian blur-equivalent images. The primordial image is defined in spectral domain by means of projection operators. We prove that the moments of the primordial image are invariant to Gaussian blur and we derive recursive formulas for their direct computation without actually constructing the primordial image itself. We show how to extend their invariance also to image rotation. The application of these invariants is in blur-invariant image comparison and recognition. In the experimental part, we perform an exhaustive comparison with two main competitors: 1) the Zhang distance and 2) the local phase quantization.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
JD - Use of computers, robotics and its application
OECD FORD branch
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Project
<a href="/en/project/GA15-16928S" target="_blank" >GA15-16928S: Invariants and adaptive representations of digital images</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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