Spin weighted wavelets on the sphere
Ilona Iglewska-Nowak
TL;DR
This paper introduces a new construction of spin weighted spherical wavelets using approximate identities, enabling continuous parameterization and direct invertibility of the wavelet transform on the sphere.
Contribution
It presents a novel method for constructing spin weighted spherical wavelets with invertible transforms based on approximate identities.
Findings
Wavelets are defined for a continuous set of parameters.
The wavelet transform is directly invertible via an integral.
The construction applies to spin weighted functions on the sphere.
Abstract
In the present paper, a construction of spin weighted spherical wavelets is presented. It is based on approximate identities, the wavelets are defined for a continuous set of parameters, and the wavelet transform is invertible directly by an integral.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsImage and Signal Denoising Methods · Mathematical Analysis and Transform Methods · Geophysics and Gravity Measurements