Smoothing of an All-sky Survey Map with a Fisher-von Mises Function
| dc.creator | Seon, Kwang-Il | |
| dc.date | 2007-03-08 | |
| dc.date.accessioned | 2026-07-07T07:50:44Z | |
| dc.date.available | 2026-07-07T07:50:44Z | |
| dc.description | A convolution of the all-sky survey data with a smoothing function is crucial in calculating the smooth surface brightness of the sky survey data. The convolution is usually performed using a spherical version of the convolution theorem. However, a Gaussian function, applicable only in the flat-sky approximation, has been usually adopted as a smoothing kernel. In this paper, we present an exact analytic solution of the spherical-harmonics transformation of a Fisher-von Mises function, the mathematical version of a Gaussian function in spherical space. We also obtain the approximate solutions exp[-l(l + 1)/2k]. The exact and the approximate solutions may be useful when an astrophysical survey map is convolved with a smoothing function of k>1. | |
| dc.description | 4 pages, 2 figures, preprint version of the paper published in JKPS on March 15, 2006 | |
| dc.identifier | https://arxiv.org/abs/astro-ph/0703168 | |
| dc.identifier | http://arxiv.org/abs/astro-ph/0703168 | |
| dc.identifier | 2006 JKPS, 48, L331 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125264 | |
| dc.subject | Astrophysics | |
| dc.title | Smoothing of an All-sky Survey Map with a Fisher-von Mises Function | |
| dc.type | text |