Tomography of the solar corona. I. A robust, regularized, positive estimation method

Astrophysical Journal

Volumn 530, Issue 2 PART 1, 2000, Pages 1026-1035

  Frazin, Richard A ^a,b  

^a HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

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

Author keywords

Methods: statistical; Solar wind; Sun: corona

Indexed keywords

EID: 0034688499     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/308412     Document Type: Article

References (67)

1. Altschuler, M. D. 1979, in Image Reconstruction from Projections: Implementation and Applications, ed. G. T. Herman (New York: Springer), 105
2. Altschuler, M. D., & Perry, R. M. 1972, Sol. Phys., 23, 410
3. Aschwanden, M. J. 1994, in Coronal Magnetic Energy Releases, ed. A. O. Benz & A. Kruger (New York: Springer), 13
4. Bertero, M., et al. 1985, Inverse Probs., 1, 301
5. _. 1988, Inverse Probs., 4, 573
6. Bertsekas, D. P. 1995, Nonlinear Programming (Belmont, MA: Athena Scientific)
7. Bohlin, J. D. 1970, Sol. Phys., 12, 240
8. Bouman, C., & Sauer, K. 1993, IEEE Trans. Image Proc., 2(3), 296
9. Brueckner, G. E., et al. 1995, Sol. Phys., 162, 357
10. Censor, Y. 1983, Proc. IEEE, 71(3), 409
11. Chandrasekhar, S. 1960, Radiative Transfer (New York: Dover)
12. Cowan, G. 1998, Statistical Data Analysis (New York: Oxford Univ. Press)
13. Cranmer, S. R., et al. 1999, ApJ, 511, 481
14. Davila, J. M. 1994, ApJ, 423, 871
15. Davila, J. M., & Thompson, W. T. 1992, ApJ, 389, L91
16. Delaney, A. H., & Bresler, Y. 1998, IEEE Trans. Image Proc., 7(2), 204
17. Demoment, G. 1989, IEEE Trans. Acoustics, Speech, Signal Proc., 37(12), 2024
18. De Pierro, A. R. 1990, in Mathematical Methods in Tomography, ed. G. T. Herman & A. K. Louis (Berlin: Springer)
19. Desbat, L., & Girard, D. 1995, SIAM J. Sci. Comput., 16, 1387
20. Fessler, J. A. 1994, IEEE Trans. Medical Imaging, 13(2), 290
21. _. 1997, Proc. SPIE, 3170, 184
22. Fisher, R., & Sime, D. G. 1984, ApJ, 287, 959
23. Foukal, P. 1990, Solar Astrophysics (New York: Wiley)
24. Frazin, R. A., & Janzen, P. 1999, in preparation
25. Gary, G. A., et al. 1998, Sol. Phys., 183, 45
26. Gibson, S. E., et al. 1999, ApJ, 520, 871
27. Golub, G. H., & von Matt, U. 1997, J. Comput. Graph. Stat., 6, 1
28. Golub, G. H., et al. 1979, Technometrics, 21(2), 215
29. Golub, L., & Pasachoff, J. M. 1997, The Solar Corona (Cambridge: Cambridge Univ. Press)
30. Hansen, P. C., & O'Leary, D. P. 1993, SIAM J. Sci. Comput, 14, 1487
31. Hebert, T., Leahy, R., & Singh, M. 1988, IEEE Trans. Nucl. Sci., 35(1), 615
32. Higdon, D. M., et al. 1997, IEEE Trans. Medical Imaging, 16(5), 516
33. Hou, H. S., & Andrews, H. C. 1977, IEEE Trans. Comput, 28(9), 856
34. Jenkins, G., & Watts, D. 1968, Spectral Analysis and Its Applications (San Francisco: Holden-Day)
35. Johnson, V. E. 1994, J. Am. Stat. Assoc., 89, 230
36. Kak, A. C. 1984, in Digital Image Processing Techniques, ed. M. P. Ekstrom (New York: Academic)
37. Kak, A. C., & Slaney, M. 1987, Principles of Computerized Tomographic Imaging (New York: IEEE)
38. Kamalabadi, F., et al. 1999, Radio Sci., 34(2), 437
39. Kang, M. G., & Katsaggelos, A. K. 1995, IEEE Trans. Image Proc., 4(5), 594
40. Kohl, J. L., & Withbroe, G. L. 1982, ApJ, 256, 263
41. Kohl, J. L., et al. 1995, Sol. Phys, 162, 313
42. Kunisch, K, & Zou, J. 1998, Inverse Probs., 14, 1247
43. Lalush, D. S., & Tsui, B. M. W. 1992, IEEE Trans. Medical Imaging, 11(2), 267
44. Leblanc, Y., et al. 1970, A&A, 5, 391
45. Louis, A. K., & Natterer, F. 1983, Proc. IEEE, 71(3), 379
46. Lukas, M. A. 1998, Inverse Probs., 14, 161
47. Mihalas, D. 1978, Stellar Atmospheres (New York: Freeman)
48. Miller, K. 1970, SIAM J. Math. Anal., 1, 52
49. Natterer, F. 1986, The Mathematics of Computerized Tomography (New York: Wiley)
50. Newkirk, G., Jr. 1971, in IAU Symp. 43, Solar Magnetic Fields (Berlin, New York: Springer), 547
51. Nikolova, M., et al. 1998, IEEE Trans. Image Proc., 7(4), 571
52. O'Sullivan, et al. 1998, IEEE Trans. Info. Theor., 44(6), 2094
53. Panasyuk, A. V. 1999, J. Geophys. Res., 104, 9721
54. Parker, E. N. 1958, ApJ, 128, 664
55. Perry, R. M., & Altschuler, M. D. 1989, Sol. Phys., 119, 301
56. Reeves, S. J. 1994, IEEE Trans. Image Proc., 3(3), 319
57. Schwenn, R., & Marsch, E. 1990, Physics of the Inner Heliosphere I (New York: Springer)
58. _. 1991, Physics of the Inner Heliosphere II (New York: Springer)
59. Tarantola, A. 1987, Inverse Problem Theory (New York: Elsevier)
60. Tikhonov, A. N. 1963, Soviet Math., 5, 1035
61. _. 1977, Solutions of Ill-posed Problems (New York: Wiley)
62. van de Hulst, H. C. 1950, Bull. Astron. Inst. Netherlands, 11, 135
63. Vogel, C. R., & Oman, M. E. 1998, IEEE Trans. Image Proc., 7(6), 813
64. Wang, Y.-M., & Sheeley, N. R. 1993, ApJ, 414, 916
65. Wilson, D. C. 1976, Ph.D. thesis, Univ. Colorado
66. Woo, R., et al. 1995, ApJ, 513, 961
67. Zidowitz, S. 1999, J. Geophys. Res., 104, 9727