Solving inverse problems with piecewise linear estimators : from Gaussian mixture models to structured sparsity

A general framework for solving image inverse problems with piecewise linear estimations is introduced in this paper. The approach is based on Gaussian mixture models, which are estimated via a maximum a posteriori expectation-maximization algorithm. A dual mathematical interpretation of the propose...

Ausführliche Beschreibung

Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on image processing : a publication of the IEEE Signal Processing Society. - 1992. - 21(2012), 5 vom: 01. Mai, Seite 2481-99
1. Verfasser: Yu, Guoshen (VerfasserIn)
Weitere Verfasser: Sapiro, Guillermo, Mallat, Stéphane
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2012
Zugriff auf das übergeordnete Werk:IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
Schlagworte:Journal Article Research Support, U.S. Gov't, Non-P.H.S.
LEADER 01000naa a22002652 4500
001 NLM213959518
003 DE-627
005 20231224022627.0
007 cr uuu---uuuuu
008 231224s2012 xx |||||o 00| ||eng c
024 7 |a 10.1109/TIP.2011.2176743  |2 doi 
028 5 2 |a pubmed24n0713.xml 
035 |a (DE-627)NLM213959518 
035 |a (NLM)22180506 
040 |a DE-627  |b ger  |c DE-627  |e rakwb 
041 |a eng 
100 1 |a Yu, Guoshen  |e verfasserin  |4 aut 
245 1 0 |a Solving inverse problems with piecewise linear estimators  |b from Gaussian mixture models to structured sparsity 
264 1 |c 2012 
336 |a Text  |b txt  |2 rdacontent 
337 |a ƒaComputermedien  |b c  |2 rdamedia 
338 |a ƒa Online-Ressource  |b cr  |2 rdacarrier 
500 |a Date Completed 15.08.2012 
500 |a Date Revised 19.04.2012 
500 |a published: Print-Electronic 
500 |a Citation Status MEDLINE 
520 |a A general framework for solving image inverse problems with piecewise linear estimations is introduced in this paper. The approach is based on Gaussian mixture models, which are estimated via a maximum a posteriori expectation-maximization algorithm. A dual mathematical interpretation of the proposed framework with a structured sparse estimation is described, which shows that the resulting piecewise linear estimate stabilizes the estimation when compared with traditional sparse inverse problem techniques. We demonstrate that, in a number of image inverse problems, including interpolation, zooming, and deblurring of narrow kernels, the same simple and computationally efficient algorithm yields results in the same ballpark as that of the state of the art 
650 4 |a Journal Article 
650 4 |a Research Support, U.S. Gov't, Non-P.H.S. 
700 1 |a Sapiro, Guillermo  |e verfasserin  |4 aut 
700 1 |a Mallat, Stéphane  |e verfasserin  |4 aut 
773 0 8 |i Enthalten in  |t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society  |d 1992  |g 21(2012), 5 vom: 01. Mai, Seite 2481-99  |w (DE-627)NLM09821456X  |x 1941-0042  |7 nnns 
773 1 8 |g volume:21  |g year:2012  |g number:5  |g day:01  |g month:05  |g pages:2481-99 
856 4 0 |u http://dx.doi.org/10.1109/TIP.2011.2176743  |3 Volltext 
912 |a GBV_USEFLAG_A 
912 |a SYSFLAG_A 
912 |a GBV_NLM 
912 |a GBV_ILN_350 
951 |a AR 
952 |d 21  |j 2012  |e 5  |b 01  |c 05  |h 2481-99