Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Application of backward stochastic differential equations to reconstruction of digital images

2012/07/D/ST6/02534

Keywords:

backward stochastic differential equations inverse problem

Descriptors:

  • ST6_8: Computer graphics, image processing, computer vision, multimedia, computer games
  • ST1_18: Control theory and optimisation

Panel:

ST6 - Computer science and informatics: informatics and information systems, computer science, scientific computing, intelligent systems

Host institution :

Uniwersytet Mikołaja Kopernika, Wydział Matematyki i Informatyki

woj. kujawsko-pomorskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr Dariusz Borkowski 

Number of co-investigators in the project: 2

Call: SONATA 4 - announced on 2012-09-15

Amount awarded: 154 600 PLN

Project start date (Y-m-d): 2013-07-09

Project end date (Y-m-d): 2016-07-08

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. zestaw komputerowy (9 000 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  • Articles in post-conference publications (4)
  1. Forward and Backward Filtering Based on Backward Stochastic Differential Equations
    Authors:
    Dariusz Borkowski
    Academic press:
    Inverse Problems and Imaging (rok: 2016, tom: 10, strony: 305-325), Wydawca: The American Institute of Mathematical Sciences
    Status:
    Published
    DOI:
    10.3934/ipi.2016002 - link to the publication
  2. Backward Stochastic Differential Equations Driven by Multidimensional Fractional Brownian Motion
    Authors:
    Dariusz Borkowski, Katarzyna Jańczak-Borkowska
    Academic press:
    Stochastic Analysis and Applications (rok: 2016, tom: nie dotyczy, strony: nie dotyczy), Wydawca: Taylor and Francis
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Generalized Backward Stochastic Variational Inequalities Driven by a Fractional Brownian Motion
    Authors:
    Dariusz Borkowski, Katarzyna Jańczak-Borkowska
    Academic press:
    Brazilian Journal of Probability and Statistics (rok: 2016, tom: 30, strony: 502-519), Wydawca: Brazilian Statistical Association
    Status:
    Published
    DOI:
    10.1214/15-BJPS291 - link to the publication
  4. Non Local Means on Random Anisotropic Sub-Image
    Authors:
    Dariusz Borkowski
    Academic press:
    International Journal of Imaging and Robotics (rok: 2015, tom: 15, strony: 45304), Wydawca: CESER Publications
    Status:
    Published
    DOI:
    brak - link to the publication
  1. Feynman-Kac Formula and Restoration of High ISO Images
    Authors:
    Dariusz Borkowski, Adam Jakubowski, Katarzyna Jańczak-Borkowska
    Conference:
    International Conference on Computer Vision and Graphics (rok: 2014, ), Wydawca: Springer (Lecture Notes in Computer Sience)
    Data:
    konferencja 15-17 wrzesień 2014
    Status:
    Published
    DOI:
    link to the publication
  2. Image Restoration Using Anisotropic Stochastic Diffusion Collaborated with Non Local Means
    Authors:
    Dariusz Borkowski, Katarzyna Jańczak-Borkowska
    Conference:
    International Conference on Computer Information Systems and Industrial Management Applications (rok: 2013, ), Wydawca: Springer (Lecture Notes in Computer Science)
    Data:
    konferencja 25-27 wrzesień 2013
    Status:
    Published
    DOI:
    link to the publication
  3. Random NL-Means to Restoration of Colour Images
    Authors:
    Dariusz Borkowski, Katarzyna Jańczak-Borkowska
    Conference:
    International Conference on Digital Image Computing: Techniques and Applications (rok: 2015, ), Wydawca: IEEE (IEEE Xplore)
    Data:
    konferencja 23-25 listopad 2015
    Status:
    Published
    DOI:
    link to the publication
  4. Image Denoising Using Backward Stochastic Differential Equations
    Authors:
    Dariusz Borkowski, Katarzyna Jańczak-Borkowska
    Conference:
    International Conference on Man-Machine Interactions (rok: 2017, ), Wydawca: Springer (Advances in Intelligent Systems and Computing)
    Data:
    konferencja 3-6 październik
    Status:
    Published

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