Design and Analysis of LMMSE Filter for MR Image Data

  • Jan KubicekEmail author
  • Alice Krestanova
  • Martina Polachova
  • David Oczka
  • Marek Penhaker
  • Martin Cerny
  • Martin Augustynek
  • Ondrej Krejcar
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11432)


This paper deals with the method of removing the noise in MRI images- During data capture and transmission, the data is disturbed by a noise component that cannot be completely reproduced exclude. Noise is defined in signal theory as additive information that was added to the original purchasing equipment or during the transport. Study of noise models is a very important part of image processing. On the images are applied noise generators, and design LMMSE filter, which is used for shaded images. They were tested salt and pepper noise, Gaussian noise and Rican noise. For each noise, more than one level of this noise. Another task was objective and subjective evaluation of the success of the filtration.


Noise Gauss distribution Rican distribution LMMSE filter 



The work and the contributions were supported by the project SV4508811/2101Biomedical Engineering Systems XIV’. This study was also supported by the research project The Czech Science Foundation (GACR) 2017 No. 17-03037S Investment evaluation of medical device development run at the Faculty of Informatics and Management, University of Hradec Kralove, Czech Republic. This study was supported by the research project The Czech Science Foundation (TACR) ETA No. TL01000302 Medical Devices development as an effective investment for public and private entities.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Jan Kubicek
    • 1
    Email author
  • Alice Krestanova
    • 1
  • Martina Polachova
    • 1
  • David Oczka
    • 1
  • Marek Penhaker
    • 1
  • Martin Cerny
    • 1
  • Martin Augustynek
    • 1
  • Ondrej Krejcar
    • 2
  1. 1.FEECSVSB-Technical University of OstravaOstrava-PorubaCzech Republic
  2. 2.Faculty of Informatics and Management, Center for Basic and Applied ResearchUniversity of Hradec KraloveHradec KraloveCzech Republic

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