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Solve the Eikonal equation in 3D Cartesian or spherical coordinates.

Project description

Welcome to the pykonal repository!

This code implements the Fast Marching Method (FMM; Sethian et al., 1996) for solving the eikonal equation in Cartesian or spherical coordinates in 2 or 3 dimensions. The method implements mixed first- and second-order finite differences.

Raypaths

PyKonal offers two features that are absent from the comparable scikit-fmm package: (a) an implementation in spherical coordinates, and (b) functionality to compute shortest-traveltime paths.

Documentation

Documentation is available here.

Citation

If you make use of this code in published work, please cite White et al. (2020).

Installation

PIP—recommended

sh$> pip install pykonal

From source code

Download and unzip the latest release.

sh$> cd path/to/pykonal
sh$> pip install .

Bugs

Please report bugs, feature requests, and questions through the Issues tracker.

References

  1. Sethian, J. A. (1996). A fast marching level set method for monotonically advancing fronts. Proceedings of the National Academy of Sciences, 93(4), 1591–1595. https://doi.org/10.1073/pnas.93.4.1591
  2. White, M. C. A., Fang, H., Nakata, N., & Ben-Zion, Y. (2020). PyKonal: A Python Package for Solving the Eikonal Equation in Spherical and Cartesian Coordinates Using the Fast Marching Method. Seismological Research Letters, 91(4), 2378-2389. https://doi.org/10.1785/0220190318

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