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From F-transform to image creation

2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2015
We propose the technique of the semi-automatic image creation. By this we mean an automatic completion of an image that is partially defined on the given domain. The essential feature of this technique is that the complementary area is much larger than that where the image is defined.
Pavel Vlasánek, Irina Perfilieva
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A measure of market volatility based on F–transform

Fuzzy Sets and Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luigi Troiano, Elena Mejuto Villa
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Edge detection using F-transform

2011 11th International Conference on Intelligent Systems Design and Applications, 2011
This contribution shows how the technique of F-transform can be used for handling the problem of edge detection. A justification of the proposed approach is given and the based on it algorithm is presented. Various examples demonstrate effectiveness of the proposed algorithm and compare it with some established techniques.
Martina Danková   +3 more
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Image composition using F-transform

2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
The contribution describes newly developed technique used to improve image quality by fusion of information from the multiple images into one resulting image containing better information than each of the input ones. The presented approach is based on the F-Transform, integral transform used to detect gradients, similarity and image fusion, and noise ...
Marek Vajgl   +3 more
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Image Inpainting with Modified F-Transform

2015
© Springer International Publishing Switzerland 2015. Restoring damaged images is an important problem in image processing and has been studied for applications such as inpainting missing regions, art restoration. In this work, we consider a modified (fuzzy transform) F-transform for restoration of damages such as holes, scratches. By utilizing weights
V. B. Surya Prasath   +1 more
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Approximation of Fuzzy Numbers by F-Transform

2012
The fuzzy transform setting (F-transform) is proposed as a tool for representation and approximation of type-1 and type-2 fuzzy numbers; the inverse F-transform on appropriate fuzzy partition of the membership interval [0,1] is used to characterize spaces of fuzzy numbers in such a way that arithmetic operations are defined and expressed in terms of ...
Luciano Stefanini, Laerte Sorini
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Image reconstruction by means of F-transform

Knowledge-Based Systems, 2014
We propose a new image reconstruction technique that uses approximation properties of the fuzzy (F-)transform and its ability to remove noise. The proposed technique is based on the inverse F-transform and combines it with an original image on a non-damaged area. We present two algorithms of the F-transform based reconstruction: one-step and multi-step.
Irina Perfilieva, Pavel Vlasánek
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F-transforms and semimodule homomorphisms

Soft Computing, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Image reduction method based on the F-transform

Soft Computing, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
f. di martino   +3 more
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F-transforms, aggregations, partitions

2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2017
A relationship between real-valued and lattice-valued F-transforms and aggregation functions is analyzed. For each direct F-transform, we find an axiomatic characterization of the corresponding mapping. We show that the real-valued F-transform is a set of images of linear aggregation functions and that the lattice-valued F-transforms are images of ...
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