Locally Supported Orthogonal Wavelet Bases on the Sphere via Stereographic Projection

Table 1

Dimension of the planar grid at level 𝐣 (𝑗=4 and 𝑗=5), for a data set localized at a colatitude 𝜃𝟎𝐱𝟎𝟎𝟎𝟖𝟓≥𝜃₀.

𝜃0 (deg.)	𝜃0 (rad.)	𝑥max	dimension of planar grid 𝑛𝑗
			𝑗=4	𝑗=5
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