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Wavelets on the sphere. Application to the detection problem

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arxiv astro-ph/0609351 v1 pith:PV7EU3G4 submitted 2006-09-13 astro-ph

J.L. Sanz , D. Herranz , M. Lopez-Caniego , F. Argueso This is my paper · ORCID
classification astro-ph
keywords spherewaveletdetectionwaveletsanalysisapplicationapplycoefficients
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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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  1. No Location Left Behind: Measuring and Improving the Fairness of Implicit Representations for Earth Data

    cs.LG 2025-02 conditional novelty 6.0 of 10

    Spherical wavelet encodings reduce the performance gap on small and coastal landmasses that spherical harmonic and other location encodings exhibit in implicit neural representations of Earth data.

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