Locally Supported Orthogonal Wavelet Bases on the Sphere via Stereographic Projection

Figure 3

Analysis of the function 𝑓_70∘(𝜃,𝜑) with the spherical wavelet associated to a Haar wavelet: (a) the wavelet transform in the tangent plane; (b) the same lifted back on the sphere, (c) analysis of the same function by the discretized CWT method with the wavelet 𝜓^𝑠_𝐻2, at scale 𝑎=0.0012.

(a)

(b)

(c)