Fast directional correlation on the sphere with steerable filters

Astrophysical Journal

Volumn 652, Issue 1 I, 2006, Pages 820-832

  Wiaux, Y ^a   Jacques, L ^b   Vielva, P ^c,d   Vandergheynst, P ^a  

^a EPFL   (Switzerland)

^b UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^c INSTITUTO DE FÍSICA DE CANTABRIA CSIC UC   (Spain)

^d UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

Cosmic microwave background; Methods: data analysis; Methods: numerical

Indexed keywords

EID: 33845311147     PISSN: 0004637X     EISSN: 15384357     Source Type: Journal    
DOI: 10.1086/507692     Document Type: Article

References (36)

1. Abraraowitz, M., & Stegun, I. 1965, Handbook of Mathematical Functions (New York: Dover)
2. Brink, D. M., & Satchler, G. R. 1993, Angular Momentum (3rd ed.; Oxford: Clarendon)
3. Bülow, T. 2002, in Proc. 24th DAGM Symposium for Pattern Recognition 2449, ed. L. Van Gool (Heidelberg: Springer), 609
4. Bülow, T., & Daniilidis, K. 2001, Surface Representations Using Spherical Harmonics and Gabor Wavelets on the Sphere (MS-CIS-01-37; Philadelphia: Univ. Pennsylvania)
5. Carmeli, M. 1969, J. Math. Phys., 10, 569
6. Challinor, A., Fosalba, P., Mortlock, D., Ashdown, M., Wandelt, B., & Górski, K. 2000, Phys. Rev. D, 62, 123002
7. Cruz, M., Martínez-González, E., Vielva, P., & Cayón, L. 2005, MNRAS, 356, 29
8. Doroshkevich, A. G., Naselsky, P. D., Verkhodanov, O. V., Novikov, D. I., Turchaninov, V. I., Novikov, I. D., Christensen, P. R., & Chiang, L.-Y. 2005a, Int. J. Mod. Phys. D, 14, 275
9. _. 2005b, preprint (astro-ph/0501494)
10. Driscoll, J. R., & Healy, D. M., Jr. 1994, Adv. Appl. Math., 15, 202
11. Freeman, W. T., & Adelson, E. H. 1991, IEEE Trans. Pattern Anal. Machine Intell., 13, 891
12. Goldberg, J. N., Macfarlane, A. J., Newman, E. T., Rohrlich, F., & Sudarshan, E. C. G. 1967. J. Math. Phys., 8, 2155
13. Górski, K. M., Hivon, E., Banday, A. J., Wandelt, B. D., Hansen. F. K., Reinecke, M., & Bartelman, M. 2005, ApJ, 622, 759
14. Healy, D. M., Jr., Kostelec, P. J., & Rockmore, D. N. 2004, Adv. Comput. Math., 21, 59
15. Healy, D. M., Jr., Rockmore, D. N., Kostelec, P. J., & Moore, S. 2003, J. Fourier Anal. Appl., 9, 341
16. Hu, W., & White, M. 1997, Phys. Rev. D, 56, 596
17. Kamionkowski, M., Kosowsky, A., & Stebbins, A. 1997a, Phys. Rev. Lett., 78, 2058
18. _. 1997b, Phys. Rev. D, 55, 7368
19. Kosowsky, A. 1996, Ann. Phys., 246, 49
20. Kostelec, P. J., Maslen, D. K., Rockmore, D. N., & Healy, D. M., Jr. 2000, J. Comput. Phys., 162, 514
21. McEwen, J. D., Hobson, M. P., Lasenby, A. N., & Mortlock, D. J. 2005, MNRAS, 359, 1583
22. _. 2006, IEEE Trans., in press (astro-ph/0506308)
23. Mukherjee, P., & Wang, Y. 2004, ApJ, 613, 51
24. Newman, E. T., & Penrose, R. 1966, J. Math. Phys., 7, 863
25. Ng, K.-W. 2005, Phys. Rev. D, 71, 083009
26. Page, L., et al. 2003, ApJS, 148, 233
27. Risbo, T. 1996, J. Geodesy, 70, 383
28. Seijak, U., & Zaldarriaga, M. 1997, Phys. Rev. Lett., 78, 2054
29. Simoncelli, E. P., Freeman, W. T., Adelson, E. H., & Heeger, D. J. 1992, IEEE Trans. Inf. Theory, 38, 587
30. Spergel, D. N., et al. 2003, ApJS, 148, 175
31. _. 2006, ApJ, submitted (astro-ph/0603449), http://lambda.gsfe.nasa.gov/ product/map/dr2/pub_papers/threeyear/parameters/wmap_3yr_param.pdf
32. Varshalovich, D. A., Moskalev, A. N., & Khersonskii, V. K. 1989, Quantum Theory of Angular Momentum (1st ed.; Singapore: World Scientific)
33. Vielva, P., Martínez-González, E., Barreiro, R. B., Sanz, J. L., & Cayón, L. 2004, ApJ, 609, 22
34. Wandelt, B. D., & Górski, K. M. 2001, Phys. Rev. D, 63, 123002
35. Wiaux, Y., Jacques, L., & Vandergheynst, P. 2005, ApJ, 632, 15
36. Zaldarriaga, M., & Seljak, U. 1997, Phys. Rev. D, 55, 1830