Voir la notice de l'article provenant de la source Math-Net.Ru
@article{FPM_2013_18_2_a5,
author = {N. G. Makarenko and D. B. Malkova and M. L. Machin and I. S. Knyazeva and I. N. Makarenko},
title = {Methods of computational topology for the analysis of dynamics of active regions of the {Sun}},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {79--93},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a5/}
}
TY - JOUR AU - N. G. Makarenko AU - D. B. Malkova AU - M. L. Machin AU - I. S. Knyazeva AU - I. N. Makarenko TI - Methods of computational topology for the analysis of dynamics of active regions of the Sun JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2013 SP - 79 EP - 93 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a5/ LA - ru ID - FPM_2013_18_2_a5 ER -
%0 Journal Article %A N. G. Makarenko %A D. B. Malkova %A M. L. Machin %A I. S. Knyazeva %A I. N. Makarenko %T Methods of computational topology for the analysis of dynamics of active regions of the Sun %J Fundamentalʹnaâ i prikladnaâ matematika %D 2013 %P 79-93 %V 18 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a5/ %G ru %F FPM_2013_18_2_a5
N. G. Makarenko; D. B. Malkova; M. L. Machin; I. S. Knyazeva; I. N. Makarenko. Methods of computational topology for the analysis of dynamics of active regions of the Sun. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 79-93. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a5/
[1] Karimova L. M., Kruglun O. A., Makarenko N. G., Romanova N. V., “Stepennoi zakon raspredeleniya v statistike otkazov v rabote bortovoi apparatury kosmicheskikh apparatov”, Kosmich. issled., 49:5 (2011), 470–475
[2] Knyazeva I. S., Makarenko N. G., Karimova L. M., “Topologiya magnitnykh polei po MDI dannym: fonovoe pole”, Astron. zhurn., 87:8 (2010), 812–821
[3] Knyazeva I. S., Makarenko N. G., Livshits M. A., “Vyyavlenie vsplytiya novogo magnitnogo polya iz topologii SOHO/MDI magnitogramm”, Astron. zhurn., 88:5 (2011), 503–512
[4] Makarenko N. G., Knyazeva I. S., Karimova L. M., “Topologiya magnitnykh oblastei po MDI dannym: aktivnye oblasti”, Pisma v Astron. zhurn., 38:7 (2012), 597–608
[5] Adler R. J., The Geometry of Random Fields, Wiley, New York, 1981 | MR | Zbl
[6] Adler R. J., Taylor J. E., Random Fields and Geometry, Springer Monographs Math., Springer, Berlin, 2007 | MR
[7] Bobrowski O., Algebraic topology of random fields and complexes, PhD Thesis, 2012
[8] Borrero J. M., Ichimoto K., “Magnetic structure of sunspots”, Living Rev. Solar Phys., 8:4 (2011), Article number 4
[9] Cui Y., Li R., Zhang L., He Y., Wang H., “Correlation between solar flare productivity and photospheric magnetic field properties”, Solar Phys., 237 (2006), 45–59 | DOI
[10] Edelsbrunner H., Harer J., Computational Topology. An Introduction, Amer. Math. Soc., Providence, 2010 | MR | Zbl
[11] Falconer D. A., Barghouty A. F., Khazanov I., Moore R. L., “A tool for empirical forecasting of major flares, coronal mass ejections, and solar particle events from a proxy of active region free magnetic energy”, Space Weather, 9 (2011), S04003 | DOI
[12] Ghrist R., “Barcodes: The persistent topology of data”, Bull. Am. Math. Soc., 45:1 (2008), 61–75 | DOI | MR | Zbl
[13] Gu S., Zheng Y., Tomasi C., “Critical nets and beta-stable features for image matching”, Computer Vision – ECCV 2010, Lect. Notes Comput. Sci., 6313, Springer, Berlin, 2010, 663–676 | DOI
[14] Ter Haar Romeny B. M., Front-End Vision and Multi-Scale Image Analysis, Springer, Berlin, 2003
[15] Koenderink J., “The structure of images”, Biol. Cybernet., 50 (1984), 363–370 | DOI | MR | Zbl
[16] Lindeberg T., Scale-Space Theory in Computer Vision, Kluwer, Dordrecht, 1994
[17] Lites B. W., “The topology and behavior of magnetic fields emerging at the solar photosphere”, Space Sci. Rev., 144 (2009), 197–212 | DOI
[18] Longcope D. W., “Topological methods for the analysis of solar magnetic fields”, Living Rev. Solar Phys., 2 (2005), Irsp-2005-7 | DOI
[19] Magara T., “Investigation into the subsurface magnetic structure in an emerging flux region on the Sun based on a comparison between Hinode's observations and numerical simulation”, Astrophys. J., 685 (2008), L91 | DOI
[20] Mason J. P., Hoeksema J. T., “Testing automated solar flare forecasting with 13 years of MDI synoptic magnetograms”, Astrophys. J., 723 (2010), 634–640 | DOI
[21] Matsumoto Y., An Introduction to Morse Theory, Amer. Math. Soc., Providence, 2002 | MR | Zbl
[22] Pulkkinen T., “Space weather: Terrestrial perspective”, Living Rev. Solar Phys., 4 (2007), Irsp-2007-1 | DOI
[23] Scherrer P. H., Schou J., Bush R. I., et al., “The Helioseismic and Magnetic Imager (HMI). Investigation for the Solar Dynamics Observatory (SDO)”, Solar Phys., 275 (2012), 207–227 | DOI
[24] Schneider R., Convex Bodies: The Brunn–Minkowski Theory, Cambridge Univ. Press, Cambridge, 1993 | MR | Zbl
[25] Serra J., Image Analysis and Mathematical Morphology, Academic Press, London, 1988 | MR
[26] Smith J. B. (Jr.), “Predicting activity levels for specific locations within solar active regions”, Solar Activity Observations and Predictions, eds. P. S. McIntosh, M. Dryer, MIT, Cambridge, 1972
[27] Sun X., Hoeksema J. T., Liu Y., Wiegelmann T., Hayashi K., Chen Q., Thalmann J., “Evolution of magnetic field and energy in a major eruptive active region based on SDO/HMI observation”, Astrophys. J., 74:2 (2012), 1–15
[28] Weickert J., Anisotropic Diffusion in Image Processing, Teubner, Stuttgart, 1998 | MR | Zbl
[29] Witkin A. P., “Scale space filtering”, Proc. 8th Int. Joint Conf. Art. Intell., Karlsruhe, Germany, 1983, 1019–1022
[30] Worsley K. J., “The geometry of random images”, Chance, 9 (1966), 27