Comparison of maximum entropy and filtered back-projection methods to reconstruct rapid-scan EPR images

Journal of Magnetic Resonance

Volumn 184, Issue 1, 2007, Pages 157-168

  Tseitlin, Mark ^a   Dhami, Amarjot ^a   Eaton, Sandra S ^a   Eaton, Gareth R ^a  

^a UNIVERSITY OF DENVER   (United States)

Author keywords

EPR imaging; Filtered back projection; LiPc; Maximum entropy; Rapid scan EPR; trityl CD3

Indexed keywords

ABSORPTION; ALGORITHMS; COMPUTATIONAL METHODS; ENTROPY; IMAGING SYSTEMS; MAGNETIC FIELDS; SIGNAL TO NOISE RATIO;

EPR IMAGING; FILTERED BACK PROJECTION; LIPC; MAXIMUM ENTROPY; RAPID SCAN EPR;

PARAMAGNETIC RESONANCE;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; DIAGNOSTIC IMAGING; ELECTRON SPIN RESONANCE; ENTROPY; IMAGE ENHANCEMENT; METHODOLOGY;

ALGORITHMS; DIAGNOSTIC IMAGING; ELECTRON SPIN RESONANCE SPECTROSCOPY; ENTROPY; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED;

EID: 33846010518     PISSN: 10907807     EISSN: 10960856     Source Type: Journal    
DOI: 10.1016/j.jmr.2006.09.027     Document Type: Article

References (38)

1. Herman G.T. Image Reconstruction from Projections: Fundamentals of Computerized Tomography (1980), Academic Press, New York
2. Kak A.C., and Slaney M. Principles of Computerized Tomographic Imaging (1988), IEEE Press, New York
3. Hayner D.A., and Jenkins W.K. The missing cone problem in computer tomography. Adv. Comp. Vision Image Proc. 1 (1984) 83-144
4. Maltempo M.M., Eaton S.S., and Eaton G.R. Algorithms for spectral-spatial imaging with a "missing angle". In: Eaton G.R., Ohno K., and Eaton S.S. (Eds). EPR Imaging and in vivo Spectroscopy (1991), CRC Press, Boca Raton, FL 145-152
5. Maltempo M., Eaton S.S., and Eaton G.R. Spectral-spatial imaging. In: Eaton G.R., Ohno K., and Eaton S.S. (Eds). EPR Imaging and in vivo Spectroscopy (1991), CRC Press, Boca Raton, FL 135-144
6. Placidi G., Alecci M., and Sotgiu A. Theory of adaptive acquisition method for image reconstruction from projections and application to EPR imaging. J. Magn. Reson. B 108 (1995) 50-57
7. Deng Y., Kuppusamy P., and Zweier J.L. Progressive EPR imaging with adaptive projection acquisition. J. Magn. Reson. 174 (2005) 177-187
8. Buck B., and Macaulay V.A. Maximum Entropy in Action (1991), Clarendon Press, Oxford
9. Wu N. The Maximum Entropy Method vol. 32 (1997), Springer-Verlag, Berlin
10. Schmieder P., Stern A.S., Wagner G., and Hoch J.C. Quantification of maximum-entropy spectrum reconstructions. J. Magn. Reson. 125 (1997) 332-339
11. Balandin A.L. Tomographic analysis of sign-altering functions by maximum entropy method. Comput Math Appl 39 (2000) 15-24
12. Zhu G. Application of a three-dimensional maximum-entropy method to processing sections of three-dimensional NMR spectra. J. Magn. Reson. B 113 (1996) 248-251
13. Alexa A., Craciunescu T., Mateescu G., and Dobrin R. The tomographic maximum entropy method in the 3-D analysis of nuclear fuel pins. J. Nucl. Mater. 218 (1995) 139-142
14. Skoglund U., Ofverstedt L.G., Burnett R.M., and Bricogne G. Maximum-entropy three-dimensional reconstruction with deconvolution of the contrast transfer function: a test application with adenovirus. J. Struct. Biol. 117 (1996) 173-188
15. Hore P.J. Maximum entropy and nuclear magnetic resonance. In: Buck B., and Macaulay V.A. (Eds). Maximum Entropy in Action (1991), Clarendon Press, Oxford 41-72
16. Goodman B.A., Glidewell S.M., and Skilling J. The use of quantified maximum entropy methods for optimizing information from electron paramagnetic resonance spectroscopy. Free Rad. Res. 22 (1995) 337-347
17. Constable R.T., and Henkelman R.M. Why MEM does not work in MR image reconstruction. Magn. Reson. Med. 14 (1990) 12-25
18. Smith C.M., and Stevens A.D. Reconstruction of images from radiofrequency electron paramagnetic resonance spectra. Brit. J. Radiol. 67 (1994) 1186-1195
19. Johnson C.A., McGarry D., Cook J.A., Devasahayam N., Mitchell J.B., Subramanian S., and Krishna M. Maximum entropy reconstruction methods in electron paramagnetic resonance imaging. Ann. Operations Res. 119 (2003) 101-118
20. Mobli M., Stern A.S., and Hoch J.C. Spectral reconstruction methods in fast NMR: reduced dimensionality, random sampling, and maximum entropy. J. Magn. Res. 182 (2006) 96-105
21. Stern A.S., and Hoch J.C. A new, storage-efficient algorithm for maximum entropy spectrum reconstruction. J. Magn. Reson. 97 (1992) 255-270
22. Stern A.S., Li K.-B., and Hoch J.C. Modern spectrum analysis in multidimensional NMR spectroscopy: comparison of linear-prediction extrapolation and maximum-entropy reconstruction. J. Am. Chem. Soc. 124 (2002) 1982-1993
23. Chiang Y.-W., Borbat P.P., and Freed J.H. Maximum entropy: a complement to Tikhonov regularization for determination of pair distance distributions by pulsed EPR. J. Magn. Reson. 177 (2005) 184-196
24. Chiang Y.-W., Borbat P.P., and Freed J.H. The determination of pair distance distributions by pulsed ESR using Tikhonov regularization. J. Magn. Reson. 172 (2005) 279-295
25. Shannon C.E. A mathematical theory of communication. Bell System Technical J. 27 (1948) 379
26. Shannon C.E. A mathematical theory of communication. Bell System Technical J. 27 (1948) 623-656
27. Skilling J., and Bryan R.K. Maximum entropy image reconstruction: general algorithm. Mon. Not. Roy. Astr. Soc. 211 (1984) 111-124
28. Horne K. Images of accretion disc- I. The eclipse mapping method. Mon. Not. Roy. Astr. Soc. 213 (1985)
29. Turek P., Andre J.J., Giraudeau A., and Simon J. Preparation and study of a lithium phthalocyanine radical: optical and magnetic properties. Chem. Phys. Lett. 134 (1987) 471-476
30. Grinberg V.O., Smirnov A.I., Grinberg O.Y., Grinberg S.A., O'Hara J.A., and Swartz H.M. Practical conditions and limitations for high spatial resolution of multi-site EPR oximetry. Appl. Magn. Reson. 28 (2005) 69-78
31. Joshi J.P., Ballard J.R., Rinard G.A., Quine R.W., and Eaton G.R. Rapid-scan EPR with triangular scans and Fourier deconvolution to recover the slow-scan spectrum. J. Magn. Reson. 175 (2005) 44-51
32. Rinard G.A., Quine R.W., Eaton S.S., Eaton G.R., Barth E.D., Pelizzari C.A., and Halpern H.J. Magnet and gradient coil system for low-field EPR imaging. Magn. Reson. Engineer. 15 (2002) 51-58
33. Rinard G.A., Quine R.W., Eaton G.R., and Eaton S.S. Adapting a Hall probe controller for currrent control of an air-core magnet. Magn. Reson. Engineer. 15 (2002) 47-50
34. Maltempo M.M., Eaton S.S., and Eaton G.R. Spectral-spatial two-dimensional EPR imaging. J. Magn. Reson. 72 (1987) 449-455
35. Maltempo M.M., Eaton S.S., and Eaton G.R. Reconstruction of spectral-spatial two-dimensional EPR images from incomplete sets of projections without prior knowledge of the component spectra. J. Magn. Reson. 77 (1988) 75-83
36. Press W.H. Numerical recipes in FORTRAN 77 and FORTRAN 90: the art of scientific and parallel computing (1996), Cambridge University Press, Cambridge, England
37. Stoner J.W., Szymanski D., Eaton S.S., Quine R.W., Rinard G.A., and Eaton G.R. Direct-detected rapid-scan EPR at 250 MHz. J. Magn. Res. 170 (2004) 127-135
38. Kauppinen J.K., Moffatt D.J., and Mantsch H.H. Nonlinearity of the maximum entropy method in resolution enhancement. Can. J. Chem. 70 (1992) 2887-2894