Application of backward stochastic differential equations to reconstruction of digital images
2012/07/D/ST6/02534
Keywords
Descriptors
- ST6_8: Grafika komputerowa, przetwarzanie obrazów, wizualizacja komputerowa, multimedia, gry komputerowe
- ST1_18: Zastosowania matematyki w innych naukach
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
Voivodeship: kujawsko-pomorskie
Principal investigator (from the host institution)
Number of co-investigators in the project: 2
Call
SONATA 4 – announced on 2012-09-15
- Amount awarded
- 154 600 PLN
- Project start date
- 2013-07-09
- Project end date
- 2016-07-08
- Project duration
- 36 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- zestaw komputerowy. Cost: 9 000 PLN
Information in the final report
Publication in academic press/journals (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 (year: 2016, volume: 30, pages: 502-519), Publisher: Brazilian Statistical Association
- Status:
- Published
- DOI:
- 10.1214/15-BJPS291 – link to the publication
-
Forward and Backward Filtering Based on Backward Stochastic Differential Equations
- Authors:
- Dariusz Borkowski
- Academic press:
- Inverse Problems and Imaging (year: 2016, volume: 10, pages: 305-325), Publisher: The American Institute of Mathematical Sciences
- Status:
- Published
- DOI:
- 10.3934/ipi.2016002 – link to the publication
-
Non Local Means on Random Anisotropic Sub-Image
- Authors:
- Dariusz Borkowski
- Academic press:
- International Journal of Imaging and Robotics (year: 2015, volume: 15, pages: 46035), Publisher: CESER Publications
- Status:
- Published
Articles in post-conference publications (4)
-
Image Denoising Using Backward Stochastic Differential Equations
- Authors:
- Dariusz Borkowski, Katarzyna Jańczak-Borkowska
- Conference:
- International Conference on Man-Machine Interactions (year: 2017, pages: 185-194), Publisher: Springer (Advances in Intelligent Systems and Computing)
- Date:
- conference 3-6 październik
- Status:
- Published
-
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 (year: 2014, pages: 100-107), Publisher: Springer (Lecture Notes in Computer Sience)
- Date:
- conference 15-17 wrzesień 2014
- Status:
- Published
- DOI:
- link to the publication
-
Random NL-Means to Restoration of Colour Images
- Authors:
- Dariusz Borkowski, Katarzyna Jańczak-Borkowska
- Conference:
- International Conference on Digital Image Computing: Techniques and Applications (year: 2015, pages: 46030), Publisher: IEEE (IEEE Xplore)
- Date:
- conference 23-25 listopad 2015
- Status:
- Published
-
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 (year: 2013, pages: 177-189), Publisher: Springer (Lecture Notes in Computer Science)
- Date:
- conference 25-27 wrzesień 2013
- Status:
- Published
- DOI:
- link to the publication