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Dive into the research topics where Marek Vajgl is active.

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Featured researches published by Marek Vajgl.


Advances in Fuzzy Systems | 2012

Advanced F-transform-based image fusion

Marek Vajgl; Irina Perfilieva; Petra Hodáková

We propose to use the modern technique of the F-transform in order to show that it can be successfully applied to the image fusion. We remind two working algorithms (SA--the simple algorithm, and CA--the complete algorithm) which are based on the F-transform and discuss, how they can be improved. We propose a new algorithm (ESA--the enhanced simple algorithm) which is effective in time and free of frequently encountered shortcomings.


intelligent systems design and applications | 2011

Edge detection using F-transform

Martina Danková; Petra Hodáková; Irina Perfilieva; Marek Vajgl

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.


international multiconference on computer science and information technology | 2010

Reasoning in RDF graphic formal system with quantifiers

Alena Lukasová; Marek Vajgl; Martin Zacek

Both associative networks and RDF model (here we consider especially its graph version) belong to formal systems of knowledge representation based on concept-oriented paradigm. To treat properties of both of them as common properties of the systems is therefore natural. The article shows a possibility to use universal and existential quantified statements introduced prior to associative networks also within RDF graphic system and to define a RDF formal system with extended syntax and semantic that can use inference rules of associative networks. As an example solution, a logical puzzle is presented.


soft computing and pattern recognition | 2010

The use of F-transform for image fusion algorithms

Irina Perfilieva; Martina Danková; Petra Hodáková; Marek Vajgl

We show that on the basis of F-transform, the problem of reconstruction of corrupted images can be solved. The proposed technique is called image fusion. A simple linear algorithm of image fusion, based on F-transform, is proposed and justified. A measure of degradation of an image is proposed as well.


INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2015 (ICNAAM 2015) | 2016

Knowledge represented using RDF semantic network in the concept of semantic web

Alena Lukasová; Marek Vajgl; M. Zacek

The RDF(S) model has been declared as the basic model to capture knowledge of the semantic web. It provides a common and flexible way to decompose composed knowledge to elementary statements, which can be represented by RDF triples or by RDF graph vectors. From the logical point of view, elements of knowledge can be expressed using at most binary predicates, which can be converted to RDF-triples or graph vectors. However, it is not able to capture implicit knowledge representable by logical formulas. This contribution shows how existing approaches (semantic networks and clausal form logic) can be combined together with RDF to obtain RDF-compatible system with ability to represent implicit knowledge and inference over knowledge base.


international conference information processing | 2014

Improved F-transform Based Image Fusion

Marek Vajgl; Irina Perfilieva

The article summarizes current approaches to image fusion problem using fuzzy transformation (F-transform) with their weak points and proposes improved version of the algorithm which suppress them. The first part of this contribution brings brief theoretical introduction into problem domain. Next part analyses weak points of current implementations. Last part introduces improved algorithm and compares it with the previous ones.


ieee international conference on fuzzy systems | 2016

Enhancement of night movies using fuzzy representation of images

Petr Hurtik; Marek Vajgl; Nicolás Madrid

A cheap personal camera is a perfect device that allows us to test algorithms for video enhancement. In this paper we present a cascade of filters based on a fuzzy representation of images. This representation tries to capture the uncertainty underlying in the intensity of a pixel by means of a fuzzy set. The cascade of filters is compared with the corresponding standard filters: blurring, sharpening and image averaging. Besides, experimentally we show that our approach provides similar results with a significant reduction of the computational time.


Archive | 2014

Novel Image Fusion Based on F-transform

Irina Perfilieva; Marek Vajgl

We propose to use the modern technique of the F-transform in order to show that it can be successfully applied to the image fusion. We remind two working algorithms (SA—the simple algorithm, and CA—the complete algorithm) which are based on the F-transform and discuss, how they can be improved. We propose a new algorithm (ESA—the enhanced simple algorithm) which is effective in time and free of frequently encountered shortcomings.


Archive | 2014

Building a Non-monotonic Default Theory in GCFL Graph-Version of RDF

Alena Lukasová; Martin Žáček; Marek Vajgl

The aim describes the idea of graph-based representation of clauses. This approach follows the Richards idea of graph-based clausal form knowledge representation. Moreover, it enabled to build up the graph-based formal system GCFL (Graph-based Clausal Form Logic) that cannot only illustrate knowledge bases graphically, but also allows us to obtain consequents of a knowledge base in a special graph-based way. The article continues the idea by creation of a graph-based formal system of generating revisable theories following the known Reiter’s default principle of building non-monotonic theories.


joint ifsa world congress and nafips annual meeting | 2013

Classification of damages on jewelry stones: Preprocessing

Irina Perfilieva; Petra Hodakovsa; Marek Vajgl; Martina Danková

Automatized classification of jewelry stones according to their quality is performed by means of image processing. In this contribution, we discuss a preprocessing of the classification. Several methods of producing a visual representation of jewelry stones are analyzed. Finally, a comparison of the proposed methods and experiments with graphical outputs are given.

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