An extension module implimenting the fast marching method
scikit-fmm is a Python extension module which implements the fast marching method.
The fast marching method is used to model the evolution of boundaries and interfaces in a variety of application areas. More specifically, the fast marching method is a numerical technique for finding approximate solutions to boundary value problems of the Eikonal equation:
F(x) | grad T(x) | = 1.
Typically, such a problem describes the evolution of a closed curve as a function of time T with speed F(x)>0 in the normal direction at a point x on the curve. The speed function is specified, and the time at which the contour crosses a point x is obtained by solving the equation.
scikit-fmm is a simple module which provides functions to calculate the signed distance and travel time to an interface described by the zero contour of the input array phi.
>>> import skfmm >>> import numpy as np >>> phi = np.ones((3, 3)) >>> phi[1, 1] = -1 >>> skfmm.distance(phi) array([[ 1.20710678, 0.5 , 1.20710678], [ 0.5 , -0.35355339, 0.5 ], [ 1.20710678, 0.5 , 1.20710678]])
>>> skfmm.travel_time(phi, speed = 3.0 * np.ones_like(phi)) array([[ 0.40236893, 0.16666667, 0.40236893], [ 0.16666667, 0.11785113, 0.16666667], [ 0.40236893, 0.16666667, 0.40236893]])
The input array can be of 1, 2, 3 or higher dimensions and can be a masked array. A function is provided to compute extension velocities.
Release Version: http://packages.python.org/scikit-fmm Development Version: http://scikit-fmm.readthedocs.org/en/latest/
Source Code: https://github.com/scikit-fmm/scikit-fmm
Requirements: Numpy and a C/C++ compiler (gcc, MinGW, MSVC)
- Bugs, questions, patches, feature requests, discussion & cetera:
Email list: http://groups.google.com/group/scikit-fmm Send an email to firstname.lastname@example.org to subscribe.
$ python setup.py install
- Testing (doctest):
$ python -c “import skfmm; skfmm.test()”
- Building documentation (required sphinx and numpydoc):
$ make html
- 0.0.1: February 13 2012
- 0.0.2: February 26th 2012
Including tests and docs in source distribution. Minor changes to documentation.
- 0.0.3: August 4th 2012
Extension velocities. Fixes for 64 bit platforms. Optional keyword argument for point update order. Bug reports and patches from three contributors.
- 0.0.4: October 15th 2012
- Contributions from Daniel Wheeler:
Bug fixes in extension velocity.
Many additional tests and migration to doctest format.
Additional optional input to extension_velocities() for FiPy compatibly.
- 0.0.5: May 12th 2014
Fix for building with MSVC (Jan Margeta).
Corrected second-order point update.
Copyright 2014 The scikit-fmm team.
BSD-style license. See LICENSE.txt in the scipy source directory.
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