RSS feeds
РусскийEnglish
Issue 11, 2024
Volume year page
Issues Authors PACS Subscription For authors

Issues

 / 

1995

 / 

February

←  →

Reviews of topical problems


Image restoration with minimum a priori information


P.K. Shternberg Astronomical Institute at the M.V. Lomonosov Moscow State University, poselok Nauchnyi, Crimea, Russian Federation

A consistent approach to the image restoration problem is presented, wich does not use Bayesian a priori information. Photon noise is taken into account. The unknown object is treated as a multidimensional set of parameters that have to be statistically estimated in an efficient way. The approach is based on an extended notion of feasible estimate (in the sense of information theory) and on Occam’s razor rule of choosing the simplest object which is consistent with the data. Occam’s rule is applied by transformation to principal components of the inverse (or maximum likelihood) estimate, which are generated by Fisher’s information matrix. The same approach can also be applied to various other inverse problems.

Fulltext pdf (863 KB)
Fulltext is also available at DOI: 10.1070/PU1995v038n02ABEH000068
PACS: 95.75.−z, 95.75.Pq (all)
DOI: 10.1070/PU1995v038n02ABEH000068
URL: https://ufn.ru/en/articles/1995/2/b/
A1995QR33900002
Citation: Terebizh V Yu "Image restoration with minimum a priori information" Phys. Usp. 38 137–167 (1995)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Оригинал: Теребиж В Ю «Восстановление изображений при минимальной априорной информации» УФН 165 143–176 (1995); DOI: 10.3367/UFNr.0165.199502b.0143

References (129) Cited by (22) ↓ Similar articles (20)

  1. Pyt’ev Yu P, Chulichkov A I et al Pattern Recognit. Image Anal. 33 1515 (2023)
  2. Kulaitis G, Munk A, Werner F Ann. Statist. 49 (4) (2021)
  3. Kalyuzhnyi A Ya Izvestiya Vuzov. Radioelektronika 62 643 (2019)
  4. Kaliuzhnyi O Y Radioelectron.Commun.Syst. 62 541 (2019)
  5. Kozyrev A V, Kozhevnikov V Yu et al Laser Part. Beams 33 183 (2015)
  6. Baksht E H, Kostyrya I D et al 2010 IEEE International Power Modulator and High Voltage Conference, (2010) p. 405
  7. Terebizh V Yu Bull.Crim. Astrophys. Observ. 106 103 (2010)
  8. Pyts’ev Yu P Autom Remote Control 71 303 (2010)
  9. Baksht E H, Burachenko A G et al J. Phys. D: Appl. Phys. 43 305201 (2010)
  10. Savanov I S Astron. Rep. 53 950 (2009)
  11. Egorov A A Opt. Spectrosc. 103 621 (2007)
  12. Savanov I S, Strassmeier K G A&A 444 931 (2005)
  13. Terebizh V Yu Astronomical & Astrophysical Transactions 23 85 (2004)
  14. Koptelova E A, Shimanovskaya E V et al Astron. Rep. 48 826 (2004)
  15. Alekseev A K, Michael N I Computer Methods In Applied Mechanics And Engineering 190 1937 (2001)
  16. Rodionov I, Rodionov A, Shilov I Nuclear Instruments And Methods In Physics Research Section A: Accelerators, Spectrometers, Detectors And Associated Equipment 471 239 (2001)
  17. Terebizh V Yu Astron. Lett. 26 49 (2000)
  18. Vol. 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100)Method of the principal informative components for reconstruction problemsA.KalyuzhnyA.Kovtonyuk1 (2000) p. 169
  19. Terebizh V Yu Astrophysics 41 198 (1998)
  20. Terebizh V Yu Astrophysics 41 73 (1998)
  21. Terebizh V Yu Astrophysics 40 94 (1997)
  22. Terebizh V Yu Astrophysics 40 267 (1997)
© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions