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SLEPLET: Slepian Scale-Discretised Wavelets in Python (#148) #149

@paddyroddy

Description

@paddyroddy

Submitting Author: Patrick J. Roddy (@paddyroddy)
All current maintainers: (@paddyroddy)
Package Name: SLEPLET
One-Line Description of Package: Slepian Scale-Discretised Wavelets in Python
Repository Link: https://github.com/astro-informatics/sleplet
Version submitted: v1.4.4
EiC: @NickleDave
Editor: Szymon Moliński (@SimonMolinsky )
Reviewer 1: Shannon Quinn (@magsol )
Reviewer 2: Jakub Tomasz Gnyp (@gnypit )
Archive: 10.5281/zenodo.7268074
JOSS DOI: 10.21105/joss.05221
Version accepted: 1.4.7
Date accepted (month/day/year): 2024/05/21


Code of Conduct & Commitment to Maintain Package

Description

  • Include a brief paragraph describing what your package does:

SLEPLET is a Python package for the construction of Slepian wavelets in the spherical and manifold (via meshes) settings. SLEPLET handles any spherical region as well as the general manifold setting. The API is documented and easily extendible, designed in an object-orientated manner. Upon installation, SLEPLET comes with two command line interfaces - sphere and mesh - that allow one to easily generate plots on the sphere and a set of meshes using plotly. Whilst these scripts are the primary intended use, SLEPLET may be used directly to generate the Slepian coefficients in the spherical/manifold setting and use methods to convert these into real space for visualisation or other intended purposes. The construction of the sifting convolution was required to create Slepian wavelets. As a result, there are also many examples of functions on the sphere in harmonic space (rather than Slepian) that were used to demonstrate its effectiveness. SLEPLET has been used in the development of various papers.

Scope

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    • Data retrieval
    • Data extraction
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    • Data validation and testing
    • Data visualization1
    • Workflow automation
    • Citation management and bibliometrics
    • Scientific software wrappers
    • Database interoperability

Domain Specific & Community Partnerships

- [ ] Geospatial
- [ ] Education
- [ ] Pangeo

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  • For all submissions, explain how the and why the package falls under the categories you indicated above. In your explanation, please address the following points (briefly, 1-2 sentences for each):

    • Who is the target audience and what are scientific applications of this package?

Many fields in science and engineering measure data that inherently live on non-Euclidean geometries, such as the sphere. Techniques developed in the Euclidean setting must be extended to other geometries. Due to recent interest in geometric deep learning, analogues of Euclidean techniques must also handle general manifolds or graphs. Often, data are only observed over partial regions of manifolds, and thus standard whole-manifold techniques may not yield accurate predictions. Slepian wavelets are designed for datasets like these. Slepian wavelets are built upon the eigenfunctions of the Slepian concentration problem of the manifold: a set of bandlimited functions that are maximally concentrated within a given region. Wavelets are constructed through a tiling of the Slepian harmonic line by leveraging the existing scale-discretised framework. Whilst these wavelets were inspired by spherical datasets, like in cosmology, the wavelet construction may be utilised for manifold or graph data.

  • Are there other Python packages that accomplish the same thing? If so, how does yours differ?

To the author's knowledge, there is no public software that allows one to compute Slepian wavelets
(or a similar approach) on the sphere or general manifolds/meshes. SHTools is a Python code used for spherical harmonic transforms, which allows one to compute the Slepian functions of the spherical polar cap. A series of MATLAB scripts exist in slepian_alpha, which permits the calculation of the Slepian functions on the sphere. However, these scripts are very specialised and hard to generalise.

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  • contains a README with instructions for installing the development version.
  • includes documentation with examples for all functions.
  • contains a tutorial with examples of its essential functions and uses.
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  • has continuous integration setup, such as GitHub Actions CircleCI, and/or others.

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