Mathematical Methods in Image Processing under Uncertainty (MAMIPU) Science fund of the Republic of Serbia
Project Description
The project “Mathematical Methods in Image Processing under Uncertainty” consists of three main research directions related to related to image analysis, digital topology, fuzzy metrics, optimization techniques, and bioinformatics.
1. Computational and Digital Geometry and Topology
This part of the project focuses on computational and digital geometry and topology in the context of image analysis and processing. The research includes:
- Novel algorithms for moments computation
- Detecting and drawing non-self-crossing digital curves
- Improving the performance of existing 2D image repairing algorithms
- Computation of orthogonal hulls of 2D images
- Applications of persistent homology
- Investigation of the fixed point property (FPP) in digital geometry and topology
2. Fuzzy Metrics, Fuzzy Shapes, and Image Processing
This research direction studies fuzzy distances, fuzzy shapes, and aggregation-based methods. The main topics include:
- Construction and analysis of fuzzy metrics using aggregation functions
- Development of new classes of fuzzy shapes and descriptors
- Theoretical and empirical analysis of associated measures
- Applications in image compression using fixed point theory in fuzzy metric spaces
3. Hybrid Models, Optimization, and Bioinformatics
The third part of the project investigates hybrid intelligent systems and optimization techniques. It includes:
- Hybrid models for uncertainty handling in image segmentation
- Design and implementation of Bee Colony Optimization (BCO) algorithms
- Learning-based clustering methods
- Optimization of neural networks on bioinformatics data
The experimental verification of the results relies on digital image datasets obtained from publicly available databases and authorized external sources.
prof. dr Nebojša Ralević
Project members
PI. dr Nebojša Ralević
Full professor
Faculty of Technical Sciences
University of Novi Sad
TM1. dr Tatjana Došenović
Full professor
Faculty of Technology
University of Novi Sad
TM2. dr Lidija Čomić
Full professor
Faculty of Technical Sciences
University of Novi Sad
TM4. dr Bratislav Iričanin
Associate professor
School of Electrical Engineering
University of Belgrade
TM5. dr Marija Paunović
Assistant professor
Faculty of Hotel Menagement and Tourism
University of Kragujevac
TM6. dr Nataša Milosavljević
Assistant professor
Faculty of Agriculture
University of Belgrade
TM7. dr Ljubo Nedović
Associate professor
Faculty of Technical Sciences
University of Novi Sad
TM8. dr Vladimir Ilić
Associate professor
Faculty of Technical Sciences
University of Novi Sad
TM9. dr Dejan Ćebić
Assistant professor
Faculty of Mining and Geology
University of Belgrade
TM10. Andrija Blesić
Teaching assistant
Faculty of Technical Sciences
University of Novi Sad
TM11. Đorđe Dragić
Teaching assistant
Faculty of Technical Sciences
University of Novi Sad
Conferences Activities
2024.
COAST 2024
Herceg Novi, Montenegro
May 29 – June 02
Title of Paper: FIXED POINT THEORY IN FUZZY METRIC SPACES WITH APPLICATION TO IMAGE PROCESSING
Authors: T. Došenović, N. Ralević, A. Kršić, M. Paunović, Đ. Dragić
Abstract: Fixed point theory in metric spaces as well as in spaces that represent the generalization of metric spaces is one of the most important areas of nonlinear analysis. There are numerous applications of this theory, such as: solving wide classes of differentials equation, optimization problems, theory of equilibrium, image processing and many other disciplines. In this paper we deal with fixed point theory in the frame of fuzzy metric spaces, where a new class of contractive mappings is introduced and the fixed point theorem for that class of mappings is proved. An example confirming the validity of the results is shown. Appropriate fuzzy metrics are applied to image processing.
Title of Paper: APPLICATION OF FUZZY METRIC SPACES IN IMAGE PROCESSING AND FIXED POINT RESULTS
Authors: T. Došenović, N. Ralević, A. Kršić, M. Paunović, Đ. Dragić
Abstract: The study of fixed point theory in metric spaces and its generalizations plays a crucial role in nonlinear analysis. This paper focuses on fixed point theory in the context of fuzzy metric spaces, introducing a novel class of contractive mappings and establishing a fixed point theorem for this class. An illustrative example is presented to validate the theoretical results, with implications for image processing using appropriate fuzzy metrics.
INFUS 2024
Istanbul, Turkey
July 16-18
Title of Paper:
Authors:
Abstract:
SISY 2025
Subotica, Serbia
September 25-27
Title of Paper: Construction of distance functions on a set of fuzzy numbers
Authors: Lj. Nedović, Đ. Dragić, N. Ralević, A. Blesić
Abstract: In this paper, we present a new method of construction of the distance function between fuzzy numbers, i.e., the measure of difference between the two of them. This method is based on the application of some aggregation functions on differences of certain fuzzy number parameters and characteristics. Various types of mean values and measures of dispersion are characteristics that are relevant for determining the difference between two fuzzy numbers. To determine the distance (i.e., difference) between the two of them, in this paper we use some their known characteristics, and we define several new ones.
Korisni Linkovi:
Copyright © 2026 Katedra za matematiku