Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389242 | Fuzzy Sets and Systems | 2016 | 19 Pages |
Abstract
In this contribution, we consider integrable functions of many (in particular, two) variables and extend for them the technique of F-transform to F1-transform. We prove that linear coefficients in the representation of the F1-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 F1-transform is combined with the Canny detector. A theoretical justification and advantages of the proposed approach are emphasized and illustrative examples are presented.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Irina Perfilieva, Petra Hodáková, Petr Hurtík,