Issues

 / 

2013

 / 

August

  

Instruments and methods of investigation


Sky pixelization for the analysis of extended emission

 a,  b
a Special Astrophysical Observatory, Russian Academy of Sciences, Nizhnii Arkhyz, Zelenchukskiy Region, Karachai-Cherkessian Republic, Russian Federation
b Astro Space Centre, Lebedev Physical Institute, Russian Academy of Sciences, ul. Profsoyuznaya 84/32, Moscow, 117997, Russian Federation

Spherical pixelization schemes are reviewed for analyzing extended emission, and in particular for investigating the cosmic microwave background. Problems with implementing different schemes are considered. The nonhierarchical Gauss — Legendre sky pixelization (GLESP) approach is discussed in detail.

Fulltext pdf (1.6 MB)
Fulltext is also available at DOI: 10.3367/UFNe.0183.201308c.0849
PACS: 95.75.−z, 95.85.Bh, 98.80.−k, 98.80.Es (all)
DOI: 10.3367/UFNe.0183.201308c.0849
URL: https://ufn.ru/en/articles/2013/8/c/
000327017200003
2-s2.0-84888125446
2013PhyU...56..801V
Citation: Verkhodanov O V, Doroshkevich A G "Sky pixelization for the analysis of extended emission" Phys. Usp. 56 801–812 (2013)
BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks

Received: 14th, June 2012, revised: 18th, July 2012, 27th, July 2012

Оригинал: Верходанов О В, Дорошкевич А Г «Системы пикселизации неба для анализа протяжённого излучения» УФН 183 849–862 (2013); DOI: 10.3367/UFNr.0183.201308c.0849

References (70) ↓ Cited by (4) Similar articles (3)

  1. Bennett C L et al. Astrophys. J. Suppl. 148 1 (2003); Bennett C L et al. astro-ph/0302207
  2. Jarosik N et al. Astrophys. J. Suppl. 192 14 (2011); Jarosik N et al. arXiv:1001.4744
  3. Tauber J A et al. Astron. Astrophys. 520 A1 (2010)
  4. Hinshaw G et al. Astrophys. J. Suppl. 170 288 (2007); Hinshaw G et al. astro-ph/0603451
  5. Tegmark M, de Oliveira-Costa A, Hamilton A J S Phys. Rev. D 68 123523 (2003)
  6. Leach S M et al. Astron. Astrophys. 491 597 (2008); Leach S M et al. arXiv:0805.0269
  7. Stolyarov V et al. Mon. Not. R. Astron. Soc. 336 97 (2002)
  8. Kim J, Naselsky P, Christensen P R Phys. Rev. D 79 023003 (2009)
  9. Doroshkevich A, Verkhodanov O Phys. Rev. D 83 043002 (2011); Doroshkevich A, Verkhodanov O arXiv:1008.4094
  10. Komatsu E et al. Astrophys. J. Suppl. 148 119 (2003); Komatsu E et al. astro-ph/0302223
  11. Chiang L-Y, Naselsky P D, Verkhodanov O V, Way M J Astrophys. J. 590 L65 (2003); Chiang L-Y, Naselsky P D, Verkhodanov O V, Way M J astro-ph/0303643
  12. Naselsky P D, Doroshkevich A G, Verkhodanov O V Astrophys. J. 599 L53 (2003); Naselsky P D, Doroshkevich A G, Verkhodanov O V astro-ph/0310542
  13. Coles P et al. Mon. Not. R. Astron. Soc. 350 989 (2004)
  14. Vielva P et al. Astrophys. J. 609 22 (2004); Vielva P et al. astro-ph/0310273
  15. Park C-G Mon. Not. R. Astron. Soc. 349 313 (2004)
  16. Eriksen H K et al. Astrophys. J. 612 64 (2004); Eriksen H K et al. astro-ph/0401276
  17. Eriksen H K et al. Astrophys. J. 605 14 (2004)
  18. Hansen F K et al. Astrophys. J. 607 L67 (2004)
  19. Larson D L, Wandelt B D Astrophys. J. 613 L85 (2004)
  20. Schwarz D J et al. Phys. Rev. Lett. 93 221301 (2004)
  21. Verkhodanov O V Usp. Fiz. Nauk 182 1177 (2012); Verkhodanov O V Phys. Usp. 55 1098 (2012)
  22. Larson D et al. Astrophys. J. Suppl. 192 16 (2011); Larson D et al. arXiv:1001.4635
  23. Kim J, Naselsky P Astrophys. J. 714 L265 (2010)
  24. Spergel D N et al. Astrophys. J. Suppl. 170 377 (2007); Spergel D N et al. astro-ph/0603449
  25. Komatsu E et al. Astrophys. J. Suppl. 180 330 (2009); Komatsu E et al. arXiv:0803.0547
  26. Komatsu E et al. Astrophys. J. Suppl. 192 18 (2011); Komatsu E et al. arXiv:1001.4538
  27. Paciesas W S et al. Astron. J. Suppl. 122 465 (1999); Paciesas W S et al. astro-ph/9903205
  28. Voges W et al. Astron. Astrophys. 349 389 (1999); Voges W et al. astro-ph/9909315
  29. Abazajian K et al. (SDSS Collab.) Astron. J. 126 2081 (2003)
  30. Beichman C A et al. Infrared Astronomical Satellite (IRAS) Catalogs And Atlases Vol. 1 Explanatory Supplement (Washington, DC: Scientific and Technical Information Division, National Aeronautics and Space Administration, 1988)
  31. Cutri R M et al. "Explanatory supplement to the 2MASS Second Incremental Data Release" (2002) http://www.ipac.caltech.edu/2mass/releases/second/doc/explsup.html
  32. Condon J J et al. Astron. J. 115 1693 (1998)
  33. Guzmán A E et al. Astron. Astrophys. 525 A138 (2011)
  34. Abbasi R et al. (IceCube Collab.) Phys. Rev. D 82 072003 (2010)
  35. Böser S (for the IceCube Collab.) Proc. of the XLVIIth Rencontres de Moriond "Electroweak Interactions and Unified Theories", 4 - 10 March 2012; Böser S (for the IceCube Collab.) arXiv:1205.6405
  36. Lyon R F "A brief history of ’pixel’" Proc SPIE 6069 606901 (2006); Lyon R F Digital Photography II — Invited Paper. IS&T/SPIE Symp. on Electronic Imaging, 15 - 19 January 2006, San Jose, Calif., USA; Lyon R F http://www.foveon.com/files/ABriefHistoryofPixel2.pdf
  37. Szalay A et al. cs/0111015
  38. Kunszt P Z, Szalay A S, Thakar A R Mining the Sky. Proc. of the MPA/ESO/MPE Workshop, Garching, Germany, July 31 - August 4, 2000 (ESO Astrophysics Symp., Eds A J Banday, S Zaroubi, M L Bartelmann) (Heidelberg: Springer, 2001) p. 631
  39. Smoot G F et al. Astrophys. J. Lett. 396 L1 (1992)
  40. Chan F K, O’Neil E M Computer Sciences Corp. EPRF Technical Report (1976)
  41. O’Neill E M, Laubscher R E Computer Sciences Corp. EPRF Technical Report (1976)
  42. Greisen E W, Calabretta M Bull. Am. Astron. Soc. 25 808 (1993); Greisen E W, Calabretta M American Astronomical Society, 182nd AAS Meeting (1993), 09.01
  43. Tegmark M Astrophys. J. 470 L81 (1996)
  44. Natoli P et al. Astron. Astrophys. 372 346 (2001); Natoli P et al. astro-ph/0101252
  45. Nasel’skii P D, Verkhodanov O V, Kristensen P R, Chiang L-I Astrofiz. Byull. 62 301 (2007); Naselsky P D, Verkhodanov O V, Christensen P R, Chiang L-Y Astrophys. Bull. 62 285 (2007); Naselsky P D, Verkhodanov O V, Christensen P R, Chiang L-Y astro-ph/0211093
  46. Tegmark M Astrophys. J. 480 L87 (1997); Tegmark M astro-ph/9611130
  47. Stroud A H Approximate Calculation Of Multiple Integrals (Englewood Cliffs, N.J.: Prentice-Hall, 1971)
  48. Sobolev S L Vvedenie v Teoriyu Kubaturnykh Formul (M.: Nauka, 1974); Sobolev S L Cubature Formulas And Modern Analysis: An Introduction (Philadelphia, Pa.: Gordon and Breach, 1992)
  49. Mysovskikh I P Quantitative Approximation. Proc. of a Symp. on Quantitative Approximation, Bonn, West Germany, August 20 - 24, 1979 (Eds R A DeVore, K Scherer) (New York: Academic Press, 1980) p. 217
  50. Konyaev S I Matem. Zametki 25 629 (1979); Konyaev S I Math. Notes Acad. Sci. USSR 25 326 (1979)
  51. Verkhodanov O V, Doroshkevich A G Advances In Machine Learning And Data Mining For Astronomy (Eds M J Way et al.) (Boca Raton: Chapman and Hall/CRC Press, 2012) p. 133, Ch. 8
  52. Crittenden R G, Turok N G "Exactly azimuthal pixelizations of the sky" Report DAMTP-1998-78 (1998); Crittenden R G, Turok N G astro-ph/9806374
  53. Górski K M, Hivon E, Wandelt B D Evolution of Large-Scale Structure: From Recombination to Garching, August 2 - 7 1998. MPA/ESO Cosmology Conf. (Eds A J Banday, R S Sheth, L Da Costa) (Garshing, 1999) p. 37
  54. Górski K M et al. Astrophys. J. 622 759 (2005)
  55. Gradshteyn I S, Ryzhik I M Tables Of Intergrals, Series, And Products 6th ed. (San Diego: Academic Press, 2000)
  56. Doroshkevich A G et al. Int. J. Mod. Phys. D 14 275 (2005); Doroshkevich A G et al. astro-ph/0305537
  57. Doroshkevich A G et al. astro-ph/0501494
  58. Verkhodanov O V i dr. Byull. Spets. Astrofiz. Observ. 58 40 (2005); Verkhodanov O V et al. Bull. Spec. Astrophys. Obs. 58 40 (2005)
  59. Doroshkevich A G et al. Int. J. Mod. Phys. D 20 1053 (2011); Doroshkevich A G et al. arXiv:0904.2517
  60. Press W H et al. Numerical Recipes In FORTRAN 2nd ed. (Cambridge: Cambridge Univ. Press, 1992); Press W H et al. http://www.nr.com
  61. Frigo M, Johnson S G Technical Report MIT-LCS-TR-728 (1997)
  62. Verkhodanov O V, Khabibullina M L, Maiorova E K Astrofiz. Byull. 64 272 (2009); Verkhodanov O V, Khabibullina M L, Majorova E K Astrophys. Bull. 64 263 (2009); Verkhodanov O V, Khabibullina M L, Majorova E K arXiv:0912.3073
  63. Verkhodanov O V i dr. Astrofiz. Byull. 65 252 (2010); Verkhodanov O V et al. Astrophys. Bull. 65 238 (2010); Verkhodanov O V et al. arXiv:1009.3720
  64. Verkhodanov O V, Khabibullina M L Astrofiz. Byull. 64 413 (2010); Verkhodanov O V, Khabibullina M L Astrophys. Bull. 65 390 (2010); Verkhodanov O V, Khabibullina M L arXiv:1108.4128
  65. Verkhodanov O V, Naiden Ya V Astrofiz. Byull. 67 1 (2012); Verkhodanov O V, Naiden Ya V Astrophys. Bull. 67 1 (2012)
  66. Varshalovich D A, Moskalev A N, Khersonskii V K Quantum Theory Of Angular Momentum (Singapore: World Scientific, 1988)
  67. Risbo T J. Geodesy 70 383 (1996)
  68. Naselsky P et al. Phys. Rev. C 86 024916 (2012); Naselsky P et al. arXiv:1204.0387
  69. Press W H et al. Numerical Recipes In FORTRAN 2nd ed. (Cambridge: Cambridge Univ. Press, 1992), Sect. 5.5
  70. Hanisch R J et al. Astron. Astrophys. 376 359 (2001)

© 1918–2024 Uspekhi Fizicheskikh Nauk
Email: ufn@ufn.ru Editorial office contacts About the journal Terms and conditions