Research Article
Locally Supported Orthogonal Wavelet Bases on the Sphere via Stereographic Projection
Table 1
Dimension of the planar grid at level
(
and
), for a data set localized at a colatitude
.
| (deg.) | (rad.) | | dimension of planar grid | | | | | |
| 1 | 0.0175 | 229.1773 | 7333 | 14666 | 2 | 0.0349 | 114.6015 | 3666 | 7332 | 3 | 0.0524 | 76.3769 | 2444 | 4888 | 4 | 0.0698 | 57.2725 | 1832 | 3664 | 5 | 0.0873 | 45.8075 | 1466 | 2932 | 6 | 0.1047 | 38.1623 | 1221 | 2442 | 7 | 0.1222 | 32.6997 | 1046 | 2092 | 8 | 0.1396 | 28.6013 | 915 | 1830 | 9 | 0.1571 | 25.4124 | 813 | 1626 | 10 | 0.1745 | 22.8601 | 731 | 1462 | 15 | 0.2618 | 15.1915 | 486 | 972 | 20 | 0.3491 | 11.3426 | 363 | 726 |
|
|