Dynamic tomographic imaging of the solar corona

IEEE Journal on Selected Topics in Signal Processing

Volumn 2, Issue 5, 2008, Pages 755-766

  Butala, Mark D ^a   Kamalabadi, Farzad ^a   Frazin, Richard A ^b   Chen, Yuguo ^c  

^a University of Illinois at Urbana Champaign   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

^c UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Astronomy; Image processing; Kalman filtering; Statistics; Stochastic systems; Tomography

Indexed keywords

ASTRONOMY; ASTROPHYSICS; ATMOSPHERIC TEMPERATURE; CARRIER CONCENTRATION; CONTROL THEORY; DIAGNOSTIC RADIOGRAPHY; DIGITAL IMAGE STORAGE; ELECTRON DENSITY MEASUREMENT; ELECTRONS; IMAGE PROCESSING; IMAGING SYSTEMS; KALMAN FILTERS; MEDICAL IMAGING; SIGNAL PROCESSING; SOLAR RADIATION; STOCHASTIC CONTROL SYSTEMS; TOMOGRAPHY;

ADVERSE EFFECTS; CURRENT GENERATIONS; D ELECTRONS; ELECTRON DENSITIES; EXTREME CASES; FUNDAMENTAL PARAMETERS; KALMAN FILTERING; OPTIMAL STATE ESTIMATIONS; PHYSICAL MECHANISMS; PROCESSING METHODS; SIGNAL MODELS; SOLAR ATMOSPHERES; SOLAR CORONAS; SPACE ENVIRONMENTS; SPACE WEATHERS; STOCHASTIC SYSTEMS; TEMPERATURE STRUCTURES; TOMOGRAPHIC IMAGING;

THREE DIMENSIONAL;

EID: 57949091805     PISSN: 19324553     EISSN: None     Source Type: Journal    
DOI: 10.1109/JSTSP.2008.2005352     Document Type: Article

References (78)

1. D. N. Baker, "What is space weather?," Adv. Space Res., vol. 22, pp. 7-16, 1998.
2. M. J. Aschwanden, Physics of the Solar Corona. Berlin, Germany: Springer-Verlag, 2004.
3. S. R. Cranmer and A. A. van Ballegooijen, "Alfvénic turbulence in the extended solar corona: Kinetic effects and proton heating," Astrophys. J., vol. 594, pp. 573-591, 2003.
4. P. Riley, J. A. Linker, and Z. Mikić, "An empirically-driven global MHD model of the solar corona and inner heliosphere," J. Geophys. Res., vol. 106, pp. 15 889-15 902, 2001.
5. D. Odstrcil et al., "Merging of coronal and heliospheric numerical two-dimensional MHD models," J. Geophys. Res., vol. 107, p. SSH 14-1, 2002.
6. W. B. Manchester, IV et al., "Modeling a space weather event from the Sun to the Earth: CME generation and interplanetary propagation," J. Geophys. Res., vol. 109, p. A02107, 2004.
7. N. Lugaz, W. B. Manchester, IV, and T. I. Gombosi, "The evolution of coronal mass ejection density structures," Astrophys. J., vol. 627, pp. 1019-1030, 2005.
8. I. V. Sokolov et al., "A new field line advection model for solar particle acceleration," Astrophys. J., vol. 616, pp. L171-L174, 2004.
9. A. C. Kak and M. Slaney, Principles of Computerized Tomographic Imaging. New York: IEEE Press, 1988.
10. F. Natterer and F. Wübbeling, Mathematical Methods in Image Reconstruction. Philadelphia, PA: SIAM, 2001.
11. M. D. Altschuler and R. M. Perry, "On determining the electron density distribution of the solar corona from K-coronameter data," Sol. Phys., vol. 23, pp. 410-428, 1972.
12. J. M. Davila, "Solar tomography," Astrophys. J., vol. 423, pp. 871-877, 1994.
13. S. Zidowitz, "Coronal structure of the whole sun month:ATomographic reconstruction," Space Phys., vol. 104, pp. 9727-9734, 1999.
14. R. A. Frazin and P. Janzen, "Tomography of the solar corona. II. Robust, regularized, positive estimation of the three-dimensional electron density distributions from LASCO-C2 polarized white-light images," Astrophys. J., vol. 570, pp. 408-422, 2002.
15. J. T. Mueller,H. Maldonado, and A. S. Driesman, "STEREO: The challenges," Acta Astronaut., vol. 53, pp. 729-738, 2003.
16. H. C. van de Hulst, "The electron density of the solar corona," Bull. Astron. Inst. Netherlands, vol. 11, pp. 135-150, 1950.
17. M. D. Butala, R. A. Frazin, and F. Kamalabadi, "Three-dimensional estimates of the coronal electron density at times of extreme solar activity," J. Geophys. Res., vol. 110, p. A09S09, 2005.
18. R. A. Frazin, F. Kamalabadi, and M. A. Weber, "On the combination of differential emission measure analysis and rotational tomography for 3D solar EUV imaging," Astrophys. J., vol. 628, pp. 1070-1080, 2005.
19. R. A. Frazin and F. Kamalabadi, "Rotational tomography for 3D reconstruction in the post-SOHO era," Sol. Phys., vol. 228, pp. 219-237, 2005.
20. S. Bonnet et al., "Dynamic X-ray computed tomography," Proc. IEEE, vol. 91, no. 10, pp. 1574-1587, Oct. 2003.
21. N. P. Willis and Y. Bresler, "Optimal scan for time varying tomographic imaging I: Theoretical analysis and fundamental limitations," IEEE Trans. Image Process., vol. 4, no. 5, pp. 642-653, May 1995.
22. N. P. Willis and Y. Bresler, "Optimal scan for time varying tomographic imaging II: Efficient design and experimental validation," IEEE Trans. Image Process., vol. 4, no. 5, pp. 654-666, May 1995.
23. N. Aggarwal and Y. Bresler, "Spatio-temporal modeling and adaptive acquisition for free-breathing cardiac magnetic resonance imaging," in Proc. 2nd SIAM Conf. Imaging in Science, Salt Lake City, UT, May 2004.
24. J. L. Duerk and O. P. Simonetti, "Review of MRI gradient waveform design methods with application in the study of motion," Concepts Magn. Reson., vol. 5, pp. 105-122, 1993.
25. T. Ernst, O. Speck, L. Itti, and L. Chang, "Simultaneous correction for interscan patient motion and geometric distortions in echoplanar imaging," Magn. Reson. Med., vol. 42, pp. 201-205, 1999.
26. Z.-P. Liang and P. C. Lauterbur, Principles of Magnetic Resonance Imaging. New York: Wiley-IEEE Press, 2000.
27. H. Alfvén, "Existence of electromagnetic-hydrodynamic waves," Nature, vol. 150, pp. 405-406, 1942.
28. P. A. Davidson, An Introduction to Magnetohydrodynamics. Cambridge, U.K.: Cambridge Univ. Press, 2001.
29. T. Dunn, B. V. Jackson, P. P. Hick, A. Buffington, and X. P. Zhao, "Comparative analysis of the CSSS calculation in the UCSD tomographic solar observations," Sol. Phys., vol. 227, pp. 339-353, 2005.
30. R. E. Kalman, "A new approach to linear filtering and prediction problems," J. Basic Eng. - Trans. ASME, vol. 82, pp. 35-45, 1960.
31. B. D. O. Anderson and J. B. Moore, Optimal Filtering. Englewood Cliffs, NJ: Prentice-Hall, 1979.
32. G. Evensen, "Sequential data assimilation with a nonlinear quasi-geostrophic model using Monte Carlo methods to forecast error statistics," J. Geophys. Res., vol. 99, pp. 10 143-10 162, 1994.
33. G. Burgers, P. J. van Leeuwen, and G. Evensen, "Analysis scheme in the ensemble Kalman filter," Mon. Weather Rev., vol. 126, pp. 1719-1724, 1998.
34. P. L. Houtekamer and H. L. Mitchell, "A sequential ensemble Kalman filter for atmospheric data assimilation," Mon. Weather Rev., vol. 129, pp. 123-137, 2001.
35. T. M. Hamill, J. S. Whitaker, and C. Snyder, "Distance-dependent filtering of background error covariance estimates in an ensemble Kalman filter," Mon. Weather Rev., vol. 129, pp. 2776-2790, 2001.
36. M. D. Butala, R. A. Frazin, Y. Chen, and F. Kamalabadi, "A Monte Carlo technique for large-scale dynamic tomography," in Proc. ICASSP, Honolulu, HI, 2007, vol. 3, pp. 1217-1220.
37. N. J. Gordon, D. J. Salmond, and A. F. M. Smith, "Novel approach to nonlinear/non-Gaussian Bayesian estimation," IEE Proc. F, vol. 140, pp. 107-113, 1993.
38. J. S. Liu and R. Chen, "Sequential Monte Carlo methods for dynamic systems," J. Amer. Stat. Assoc., vol. 93, pp. 1032-1044, 1998.
39. A. Doucet, N. de Freitas, and N. Gordon, Sequential Monte Carlo Methods in Practice. New York: Springer-Verlag, 2001.
40. M. S. Arulampalam, S. Maskell, N. Gordon, and T. Clapp, "A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking," IEEE Trans. Signal Process., vol. 50, no. 2, pp. 174-188, Feb. 2002.
41. P. M. Djurić et al., "Particle filtering," IEEE Signal Process. Mag., vol. 20, no. 5, pp. 19-38, May 2003.
42. A. K. George, M. D. Butala, R. A. Frazin, F. Kamalabadi, and Y. Bresler, "Time-resolved CT reconstruction using the ensemble Kalman filter," in Proc. ISBI, Paris, France, 2008, pp. 1489-1492.
43. M. D. Altschuler, "Reconstruction of the global-scale three-dimensional solar corona," in Image Reconstructions From Projections: Implementation and Applications. Berlin, Germany: Springer-Verlag, 1979, pp. 105-145.
44. D. F. Elmore, J. T. Burkepile, A. J. Darnell, A. R. Lecinski, and A. L. Stanger, "Calibration of a ground-based solar coronal polarimeter," in Proc. SPIE, 2003, vol. 4843, pp. 66-75.
45. G. E. Brueckner et al., "The large angle spectroscopic coronagraph (LASCO)," Sol. Phys., vol. 162, pp. 357-402, 1995.
46. V. Domingo, B. Fleck, and A. I. Poland, "The SOHO mission: An overview," Sol. Phys., vol. 162, pp. 1-37, 1995.
47. R. A. Howard, J. D. Moses, D. G. Socker, K. P. Dere, and J. W. Cook, "Sun earth connection coronal and heliospheric investigation (SECCHI)," Adv. Space Res., vol. 29, pp. 2017-2026, 2002.
48. T. J. Bogdan and B. C. Low, "The three-dimensional structure of magnetostatic atmospheres. II - Modeling the large-scale corona," Astrophys. J., vol. 306, pp. 271-283, 1986.
49. T. Neukirch, "On self-consistent three-dimensional analytic solutions of the magnetohydrostatic equations," Astron. Astrophys., vol. 301, pp. 628-639, 1995.
50. B. Sharif and F. Kamalabadi, "Optimal resolution in algebraic image reconstruction," in Bayesian Inference and Maximum Entropy Methods in Science and Engineering - Proc. MaxEnt 2005, K. H. Knuth, A. E. Abbas, R. Morris, and P. Castle, Eds., Melville, NY, 2005, vol. 803, Amer. Inst. of Phys., pp. 199-206.
51. E. Landi et al., "CHIANTI - An atomic database for emission lines - VII. New data for X-rays and other improvements," Astrophys. J. Suppl., vol. 162, pp. 261-280, 2006.
52. J.-P. Delaboudinière et al., "EIT: Extreme-ultraviolet imaging telescope for the SOHO mission," Sol. Phys., vol. 162, pp. 291-312, 1995.
53. J. L. Culhane et al., "The EUV imaging spectrometer for Hinode," Sol. Phys., vol. 243, pp. 19-61, 2007.
54. T. Kosugi et al., "The Hinode (Solar-B) mission: An overview," Sol. Phys., vol. 243, pp. 3-17, 2007.
55. M. A. Weber, E. E. Deluca, L. Golub, and A. L. Sette, "Temperature diagnostics with multichannel imaging telescopes," in Proc. IAU Symp. No. 223, A. V. Stepanov, E. Benevolenskaya, and A. Kosovichev, Eds., Cambridge, MA, 2004, pp. 321-328.
56. L. Golub et al., "The X-ray telescope (XRT) for the Hinode mission," Sol. Phys., vol. 243, pp. 63-86, 2007.
57. R. A. Horn and C. R. Johnson, Topics in Matrix Analysis. New York: Cambridge Univ. Press, 1991.
58. R. A. Frazin, A. M. Vásquez, F. Kamalabadi, and H. Park, "Three-dimensional tomographic analysis of a high-cadence LASCO-C2 polarized brightness sequence," Astrophys. J., vol. 671, pp. L201-L204, 2007.
59. R. A. Frazin, S. R. Cranmer, and J. L. Kohl, "Empirically determined anisotropic velocity distributions and outflows of 2003.
60. A.-I. N. Tikhonov and V. Y. Arsenin, Solutions of Ill-Posed Problems Washington, DC: Winston, 1977.
61. G. Demoment, "Image reconstruction and restoration: Overview of common estimation structures and problems," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, pp. 2024-2036, 1989.
62. W. C. Karl, "Regularization in image restoration and reconstruction," in Handbook of Image and Video Processing, A. Bovik, Ed. San Diego, CA: Academic, 2000, ch. 3.6, pp. 141-160.
63. G. H. Golub, M. Heath, and G. Wahba, "Generalized cross-validation as a method for choosing a good ridge parameter," Technometrics, vol. 21, pp. 215-223, 1979.
64. S. M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory. Upper Saddle River, NJ: Prentice-Hall, 1993.
65. Y. Zhang, A. Ghodrati, and D. H. Brooks, "An analytical comparison of three spatio-temporal regularization methods for dynamic linear inverse problems in a common statistical framework," Inverse Probl., vol. 21, pp. 357-382, 2005.
66. R. A. Frazin, M. D. Butala, A. Kemball, and F. Kamalabadi, "Time-dependent reconstruction of nonstationary objects with tomographic or interferometric measurements," Astrophys. J., vol. 635, pp. L197-L200, 2005.
67. R. Furrer and T. Bengtsson, "Estimation of high-dimensional prior and posterior covariance matrices in Kalman filter variants," J. Multivariate Anal., vol. 98, pp. 227-255, 2007.
68. P. J. Bickel and E. Levina, "Regularized estimation of large covariance matrices," Ann. Stat., vol. 36, pp. 199-227, 2008.
69. G. Gaspari and S. E. Cohn, "Construction of correlation functions in two and three dimensions," Q. J. Roy. Meteor. Soc., vol. 125, pp. 723-757, 1999.
70. J. R. Guerci, "Theory and application of covariance matrix tapers for robust adaptive beamforming," IEEE Trans. Signal Process., vol. 47, no. 4, pp. 977-985, Apr. 1999.
71. M. D. Butala, J. Yun, Y. Chen, R. A. Frazin, and F. Kamalabadi, "Asymptotic convergence of the ensemble Kalman filter," in Proc. ICIP, San Diego, CA, 2008.
72. G. Evensen and P. J. van Leeuwen, "An ensemble Kalman smoother for nonlinear dynamics," Mon. Weather Rev., vol. 128, pp. 1852-1867, 2000.
73. G. Evensen, "The ensemble Kalman filter: Theoretical formulation and practical implementation," Ocean Dynam., vol. 53, pp. 343-367, 2003.
74. A. Gelb, Applied Optimal Estimation. Cambridge, MA: MIT Press, 1974.
75. F. Daum and J. Huang, "Curse of dimensionality and particle filters," in Proc. IEEE Aerospace Conf., Big Sky, MT, 2003, vol. 4, pp.
76. A. Doucet, S. Godsill, and C. Andrieu, "On sequential Monte Carlo sampling methods for Bayesian filtering," Stat. Comput., vol. 10, pp. 197-208, 2000.
77. T. Bengtsson, P. Bickel, and B. Li, "Curse-of-dimensionality revisited: Collapse of the particle filter in very large scale systems," Probability and Statistics: Essays in Honor of David A. Freedman, vol. 2, pp. 316-334, 2008.
78. N. Vaswani, "Particle filtering for large dimensional state spaces with multimodal observation likelihoods," IEEE Trans. Signal Process., vol. 56, no. 10, pp. 4583-4597, Oct. 2008.