Seminars:
Computational mathematics Thu 16:15-17:45
room 1016
Image recognition Thu 14:15-15:45
room 1146
Differential equations and related issues Fri 12:15-13:45
room 1016
Partial differential equations Tue 12:15-13:45
room 1016
Marcin Żelawski, PhD
room:2150
address:Łojasiewicza 6, PL-30-348 Kraków, Poland
e-mail:zelawski At ii.uj.edu.pl
www:http://www.ii.uj.edu.pl/~zelawski

Research interests:
  • Topological Data Analysis
  • data mining
  • image processing and recognition
  • design patterns
  • software engineering
  • algorithms and computational complexity
  • artificial intelligence

CV light:
1995M.Sc. in computer scienceJagiellonian University
2002PhD in computer scienceJagiellonian University

Awards and scholarships:
2013 The paper: M. Mrozek, M. Żelawski, A. Krajniak, A. Gryglewski and S. Han, "Homological methods for extraction and analysis of linear features in multidimensional images", Pattern Recognition, 45(1), 285-298 awarded third prize in the nationwide competition for the best papers in applications of mathematics. Centre for Applications of Mathematics, Gdańsk University of Technology

Publications:
  • A. Gryglewski, B.M. Henry, M. Mrozek, M. Żelawski, A. Gryglewski, K. Piech, K.A. Tomaszewski,
    Sensitivity and Specificity of Fractal Analysis to Distinguish Between Healthy and Pathologic Rectal Mucosa Microvasculature Seen During Colonoscopy
    Surgical Laparoscopy Endoscopy And Percutaneous Techniques, 358-363 (2016)
  • Andrzej Gryglewski, Andrzej Krajniak, Marian Mrozek, Han Sejin, Marcin Żelawski,
    Homological methods for extraction and analysis of linear features in multidimensional images
    Pattern Recognition, 285-298 (2012)
  • B. Gryglewska, M. Necki, M. Żelawski, M. Cwynar, T. Baron, M. Mrozek, T. Grodzicki,
    Fractal dimensions of skin microcirculation flow in subjects with familial predisposition or newly diagnosed hypertension
    Cardiology Journal, 26-32 (2011)
  • B. Gryglewska, M. Necki, M. Żelawski, T. Grodzicki,
    Entropy of skin microcirculation flow in subjects with familial predisposition or newly diagnosed hypertension
    Cardiovascular Research, S54 (2010)
  • Andrzej Gryglewski, Andrzej Krajniak, Marian Mrozek, Han Sejin, Marcin Żelawski,
    Homological Methods in Feature Extraction of Multidimensional Images
    Proceedings of the 2009 2nd International Congress on Image and Signal Processing, IEEE, 1061-1066 (2009)
  • M. Żelawski,
    Detecting Pathologies with Homology Algorithms in Magnetic Resonance Images of Brain
    Machine GRAPHICS & VISION, 253-266 (2009)
  • M. Żelawski,
    Pattern Recognition Based on Homology Theory
    Machine GRAPHICS & VISION, 14(3), 309-324 (2005)
  • M. Żelawski,
    Rigorous numerical approach to isolation in dynamical systems on the example of the Kuramoto-Sivashinsky Equation
    Reliable Computing, 5, 113-129 (1999)
  • M. Mrozek, M. Żelawski,
    Heteroclinic Connections in the Kuramoto-Sivashinsky Equation: a Computer Assisted Proof
    Reliable Computing, 3, 277-285 (1997)
Division of Computational Mathematics, Institute of Computer Science, Łojasiewicza 6, 30-348 Kraków, Poland