Wavelets on the sphere. Application to the detection problem

Details Wavelets on the sphere. Application to the detection problem Wavelets on the sphere. Application to the detection problem

2006-09-13

arxiv.org/abs/astro-ph/0609351v1

Proceedings of the 14th European Signal Processing Conference (EUSIPCO 2006), Florence (Italy), September 4-8 2006, Eds. F. Gi

Astronomy and Astrophysics

Astrophysics

5 pages, 3 figures, Proceedings of the EUSIPCO 2006

Scientific paper

A new method is presented for the construction of a natural continuous wavelet transform on the sphere. It incorporates the analysis and synthesis with the same wavelet and the definition of translations and dilations on the sphere through the spherical harmonic coefficients. We construct a couple of wavelets as an extension of the flat Mexican Hat Wavelet to the sphere and we apply them to the detection of sources on the sphere. We remark that no projections are used with this methodology.

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