Differentiation by the F-transform and Application to Edge Detection

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1601E5Q" target="_blank" >RIV/61988987:17610/16:A1601E5Q - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Differentiation by the F-transform and Application to Edge Detection
Original language description
In this contribution, we consider integrable functions of many (in particular, two) variables and extend for them the technique of F-transform to F$^1$-transform. We prove that linear coefficients in the representation of the F$^1$-transform component approximate the first partial derivatives. We give estimates for this approximation. Finally, we discuss the application to the edge detection problem. We propose a new algorithm where the technique of F$^1$-transform is combined with the Canny detector. Atheoretical justification and advantages of the proposed approach are emphasized and illustrative examples are presented.
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
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/ED1.1.00%2F02.0070" target="_blank" >ED1.1.00/02.0070: IT4Innovations Centre of Excellence</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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