https://github.com/lcav/sphericalfri

https://github.com/lcav/sphericalfri

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• Host: GitHub
• URL: https://github.com/lcav/sphericalfri
• Owner: LCAV
• Created: 2015-03-02T22:41:32.000Z (almost 10 years ago)
• Default Branch: master
• Last Pushed: 2015-03-03T00:35:37.000Z (almost 10 years ago)
• Last Synced: 2024-06-11T19:59:34.576Z (7 months ago)
• Language: Matlab
• Size: 152 KB
• Stars: 0
• Watchers: 10
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
# SphericalFRI

This repository contains a collection of Matlab routines to accompany the paper

[_Sampling Sparse Signals on the Sphere: Algorithms and

Applications_](http://arxiv.org/abs/1502.07577) by Ivan Dokmanić and Yue M. Lu

__Dependecies__: This code requires some routines from the Spherical Harmonic

Transform package SSHT by Jason McEwen and Yves Wiaux. SSSH can be obtained at

[this link](http://www.jasonmcewen.org/codes/ssht/). Most of these dependencies will be removed in the future.

## Main functions

| Filename          | Description                                                    |

| ----------------- | -------------------                                            |

| SphereFRI.m       | Runs the FRI estimation algorithm                              |

| DiracSpectrum.m   | Computes the spectrum of a collection of Diracs                |

| RandomDiracs.m    | Creates a random collection of spherical Diracs                |

| SphereFRI_SN.m    | Estimation routine for the shot noise removal                  |

| SelectEms.m       | Selects data matrix elements for some m                        |

| LegendreCoeffs.m  | Coefficients of Legendre polynomials                           |

| PolypartCoeffs.m  | Coefficients  of the polynomial part of the spherical harmonic |

| CramerRaoBound.m  | Computation of the Cramer Rao lower bound                      |

| CmMatrix.m        | Matrix of polynomial coefficients corresponding to m           |

__Note__: The code to generate the spherical harmonics currently can't generate harmonics of high orders (to be replaced soon).

## Examples and paper figures

| Filename             | Description                                                       |

| -----------------    | -------------------                                               |

| Example1_Diracs.m    | Simple reconstruction of a collection of Diracs                   |

| Example2_Green.m     | Some plots of the Helmholtz Green's function ove r a rigid sphere |

| Example4_Green.m     | Figure 7 from the paper (source localization)                     |

| Example5_Green.m     | Figure 8 from the paper (ratios of Green's functions)             |

| Example6_Diffusion.m | Diffusion kernel and aliasing error                               |

| Example7_Diffusion.m | Diffusion reconstruction example                                  |

| Example8_ShotNoise.m | Shot noise removal example                                        |

## Authors

Ivan Dokmanić is with Laboratory for Audiovisual Communications

([LCAV](http://lcav.epfl.ch)) at [EPFL](http://www.epfl.ch), Switzerland. Yue M. Lu is with Signals, Information, and Networks Group ([SING][http://lu.seas.harvard.edu]) at Harvard University, Cambridge, MA, USA.