PMID- 20721169
OWN - NLM
STAT- MEDLINE
DCOM- 20101217
LR  - 20181023
IS  - 1094-4087 (Electronic)
IS  - 1094-4087 (Linking)
VI  - 18
IP  - 17
DP  - 2010 Aug 16
TI  - Tensor factorization for model-free space-variant blind deconvolution of the 
      single- and multi-frame multi-spectral image.
PG  - 17819-33
LID - 10.1364/OE.18.017819 [doi]
AB  - The higher order orthogonal iteration (HOOI) is used for a single-frame and 
      multi-frame space-variant blind deconvolution (BD) performed by factorization of 
      the tensor of blurred multi-spectral image (MSI). This is achieved by conversion 
      of BD into blind source separation (BSS), whereupon sources represent the 
      original image and its spatial derivatives. The HOOI-based factorization enables 
      an essentially unique solution of the related BSS problem with orthogonality 
      constraints imposed on factors and the core tensor of the Tucker3 model of the 
      image tensor. In contrast, the matrix factorization-based unique solution of the 
      same BSS problem demands sources to be statistically independent or sparse which 
      is not true. The consequence of such an approach to BD is that it virtually does 
      not require a priori information about the possibly space-variant point spread 
      function (PSF): neither its model nor size of its support. For the space-variant 
      BD problem, MSI is divided into blocks whereupon the PSF is assumed to be a 
      space-invariant within the blocks. The success of proposed concept is 
      demonstrated in experimentally degraded images: defocused single-frame gray scale 
      and red-green-blue (RGB) images, single-frame gray scale and RGB images blurred 
      by atmospheric turbulence, and a single-frame RGB image blurred by a grating 
      (photon sieve). A comparable or better performance is demonstrated in relation to 
      the blind Richardson-Lucy algorithm which, however, requires a priori information 
      about parametric model of the blur.
FAU - Kopriva, Ivica
AU  - Kopriva I
AD  - Division of Laser and Atomic R&D, Ruder Boskovic Institute, Bijenicka cesta 54, 
      P.O. Box 180, 10002 Zagreb, Croatia. ikopriva@irb.hr
LA  - eng
PT  - Journal Article
PT  - Research Support, Non-U.S. Gov't
PL  - United States
TA  - Opt Express
JT  - Optics express
JID - 101137103
SB  - IM
MH  - *Algorithms
MH  - Artifacts
MH  - Atmosphere
MH  - Image Processing, Computer-Assisted/*methods
MH  - *Models, Theoretical
MH  - Photons
EDAT- 2010/08/20 06:00
MHDA- 2010/12/18 06:00
CRDT- 2010/08/20 06:00
PHST- 2010/08/20 06:00 [entrez]
PHST- 2010/08/20 06:00 [pubmed]
PHST- 2010/12/18 06:00 [medline]
AID - 204838 [pii]
AID - 10.1364/OE.18.017819 [doi]
PST - ppublish
SO  - Opt Express. 2010 Aug 16;18(17):17819-33. doi: 10.1364/OE.18.017819.