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https://github.com/astro-informatics/src_flag
Fast Fourier-Laguerre transform on the ball
https://github.com/astro-informatics/src_flag
3d-imaging astrophysics signal-processing
Last synced: 7 days ago
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Fast Fourier-Laguerre transform on the ball
- Host: GitHub
- URL: https://github.com/astro-informatics/src_flag
- Owner: astro-informatics
- License: gpl-2.0
- Created: 2015-11-26T21:33:07.000Z (about 9 years ago)
- Default Branch: master
- Last Pushed: 2021-11-30T18:47:47.000Z (about 3 years ago)
- Last Synced: 2024-12-14T03:49:39.881Z (about 2 months ago)
- Topics: 3d-imaging, astrophysics, signal-processing
- Language: C
- Homepage: http://astro-informatics.github.io/flag/
- Size: 2.15 MB
- Stars: 0
- Watchers: 6
- Forks: 0
- Open Issues: 0
-
Metadata Files:
- Readme: README.rst
- License: LICENSE.txt
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README
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|logo| FLAG: Fourier-LAGuerre transform
================================
.. |logo| raw:: html
DESCRIPTION
================================
The ``FLAG`` code provides functionality to perform fast and exact Fourier-Laguerre and Fourier-Bessel transforms on the ball.
C INSTALLATION
================================
The primary C version of this code can be installed from source by running
.. code-block:: bash
git clone [email protected]:astro-informatics/src_flag.git
cd src_flag
mkdir build && cd build
cmake .. && make
Following which one can check the installation by running
.. code-block:: bash
ctest
within the build directory.
PYTHON INSTALLATION
================================
``FLAG`` can easily be installed from PyPi by running
.. code-block:: bash
pip install pyflag
pip list
or alternatively from source by first compiling the C code and running
.. code-block:: bash
pip install .
from the root directory, following which the package may be tested by running
.. code-block:: bash
pytest
within the root directory.
MATLAB INSTALLATION
================================
Mex wrappers are available, however they are currently being sunsetted, so installing previously tagged versions is advised.
BASIC USAGE (PYTHON)
================================
First install ``FLAG`` for python, then you can call it from any python script to perform forward and inverse flag transforms and their adjoints by
.. code-block:: python
import pyflag as flag
import numpy as np
L = 10 # Angular bandlimit
P = 5 # Radial bandlimit
tau = 1 # Laguerre scaling factor
spin = 0 # Spin of signal
reality = 0 # Real or complex signals
# Create a random complex signal (c indexing)
f = np.random.rand(P, L, 2*L-1) + 1j*np.random.rand(P, L, 2*L-1)
f = f.flatten('C')
# Compute e.g. the Forward transform
flmp = flag.flag_analysis(f, L, tau, P, spin, reality)
AUTHORS
================================
`B. Leistedt `_,
`J. D. McEwen `_, and
`M. A. Price `_
REFERENCES
================================
.. code-block::
@article{price:2021:bayesian,
author = {Matthew~A.~Price and Jason~D.~McEwen},
title = {Bayesian variational regularization on the ball},
journal = {ArXiv},
eprint = {arXiv:2105.05518},
year = 2021
}
.. code-block::
@article{leistedt:2012:exact,
author = {Boris~Leistedt and Jason~D.~McEwen},
title = {Exact Wavelets on the Ball},
journal = {IEEE Trans. Sig. Proc.},
year = 2012,
volume = {60},
number = {12},
pages = {6257-6269},
doi = {10.1109/TSP.2012.2215030},
}
.. code-block::
@article{McEwen:2011:novel,
author = {Jason~D.~McEwen and Yves~Wiaux},
title = {A novel sampling theorem on the sphere},
journal = {IEEE Trans. Sig. Proc.},
year = 2011,
volume = {59},
number = {12},
pages = {5876-5887},
doi = {10.1109/TSP.2011.2166394},
}
LICENSE
================================
.. code-block::
FLAG package to perform fast wavelet transform on the sphere
Copyright (C) 2021 Boris Leistedt & Jason McEwen & Matthew Price
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU General Public License
as published by the Free Software Foundation; either version 2
of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details (LICENSE.txt).
You should have received a copy of the GNU General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
MA 02110-1301, USA.