Locally Supported Orthogonal Wavelet Bases on the Sphere via Stereographic Projection

Figure 1

(a) The graph of the function 𝑔_0∘(𝜃,𝜑). (b) Its analysis with the spherical wavelet associated to the Daubechies wavelet db3; (c) Same analysis by the discretized CWT method with the wavelet 𝜓^𝑠_𝐻2, at scale 𝑎=0.0165. (d)–(f) The same for the function 𝑔_50∘(𝜃,𝜑). (g)–(i) The same for the function 𝑔_80∘(𝜃,𝜑).

(a)

(b)

(c)

(d)

(e)

(f)

(g)

(h)

(i)