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Eikonal Fast Marching

eikonalfm is a Python (C++) extension which implements the Fast Marching method for the eikonal equation

$$ \lvert\nabla\tau(x)\rvert^2=\frac{1}{c^2(x)}, $$

and the factored eikonal equation

$$ \lvert(\tau_0\nabla\tau_1 + \tau_1\nabla\tau_0)(x)\rvert^2=\frac{1}{c^2(x)}, $$

where $\tau_0(x)=\lvert x-x_s\rvert$.

References

  • J. Sethian. Fast marching methods. SIAM Review, 41(2):199-235, 1999. doi: 10.1137/S0036144598347059. URL https://doi.org/10.1137/S0036144598347059
  • Eran Treister and Eldad Haber. A fast marching algorithm for the factored eikonal equation. Journal of Computational Physics, 324:210-225, 2016.

Requirements

  • Python 3
  • numpy version 1.7 or higher
  • C++11 compiler

Installation

Installation from PyPi:

pip install eikonalfm

Manual install from the repository:

git clone https://github.com/kevinganster/eikonalfm.git
cd eikonalfm
pip install .

or

pip install git+https://github.com/kevinganster/eikonalfm.git

Examples

import numpy as np
import eikonalfm

c = np.ones((100, 100))
x_s = (0, 0)
dx = (1.0, 1.0)
order = 2

tau_fm = eikonalfm.fast_marching(c, x_s, dx, order)
tau1_ffm = eikonalfm.factored_fast_marching(c, x_s, dx, order)

Note that the source position x_s describes an index-vector.

To visualize the results, matplotlib (https://pypi.org/project/matplotlib/) can be used, for example:

import matplotlib.pyplot as plt

# for the distance-function 'x_s' also describes an index-vector
tau0 = eikonalfm.distance(tau1_ffm.shape, dx, x_s, indexing="ij")
plt.contourf(tau0 * tau1_ffm)
plt.show()

Metadata

Release files for eikonalfm 0.9.9

For a detailed explanation of source distributions (sdists) and built distributions (wheels), please see the package formats documentation.

Source distribution (sdist)

Source distribution for eikonalfm 0.9.9
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Built distributions (wheels)

Table of built distributions (wheels) for eikonalfm 0.9.9
File
eikonalfm-0.9.9-cp314-cp314-win_amd64.whl CPython 3.14 CPython 3.14 Windows x86-64 Details
eikonalfm-0.9.9-cp314-cp314-win32.whl CPython 3.14 CPython 3.14 Windows x86-32 Details
eikonalfm-0.9.9-cp314-cp314-musllinux_1_2_x86_64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ x86-64 Details
eikonalfm-0.9.9-cp314-cp314-musllinux_1_2_aarch64.whl CPython 3.14 CPython 3.14 Linux musl 1.2+ ARM64 Details
eikonalfm-0.9.9-cp314-cp314-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl CPython 3.14 CPython 3.14 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
eikonalfm-0.9.9-cp314-cp314-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl CPython 3.14 CPython 3.14 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
eikonalfm-0.9.9-cp314-cp314-macosx_11_0_arm64.whl CPython 3.14 CPython 3.14 macOS 11.0+ ARM64 Details
eikonalfm-0.9.9-cp314-cp314-macosx_10_15_x86_64.whl CPython 3.14 CPython 3.14 macOS 10.15+ x86-64 Details
eikonalfm-0.9.9-cp314-cp314-macosx_10_15_universal2.whl CPython 3.14 CPython 3.14 macOS 10.15+ universal2 (ARM64, x86-64) Details
eikonalfm-0.9.9-cp313-cp313-win_amd64.whl CPython 3.13 CPython 3.13 Windows x86-64 Details
eikonalfm-0.9.9-cp313-cp313-win32.whl CPython 3.13 CPython 3.13 Windows x86-32 Details
eikonalfm-0.9.9-cp313-cp313-musllinux_1_2_x86_64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ x86-64 Details
eikonalfm-0.9.9-cp313-cp313-musllinux_1_2_aarch64.whl CPython 3.13 CPython 3.13 Linux musl 1.2+ ARM64 Details
eikonalfm-0.9.9-cp313-cp313-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl CPython 3.13 CPython 3.13 Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64 Details
eikonalfm-0.9.9-cp313-cp313-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl CPython 3.13 CPython 3.13 Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64 Details
eikonalfm-0.9.9-cp313-cp313-macosx_11_0_arm64.whl CPython 3.13 CPython 3.13 macOS 11.0+ ARM64 Details
eikonalfm-0.9.9-cp313-cp313-macosx_10_13_x86_64.whl CPython 3.13 CPython 3.13 macOS 10.13+ x86-64 Details
eikonalfm-0.9.9-cp313-cp313-macosx_10_13_universal2.whl CPython 3.13 CPython 3.13 macOS 10.13+ universal2 (ARM64, x86-64) Details
eikonalfm-0.9.9-cp312-cp312-win_amd64.whl CPython 3.12 CPython 3.12 Windows x86-64 Details
eikonalfm-0.9.9-cp312-cp312-win32.whl CPython 3.12 CPython 3.12 Windows x86-32 Details
eikonalfm-0.9.9-cp312-cp312-musllinux_1_2_x86_64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ x86-64 Details
eikonalfm-0.9.9-cp312-cp312-musllinux_1_2_aarch64.whl CPython 3.12 CPython 3.12 Linux musl 1.2+ ARM64 Details
eikonalfm-0.9.9-cp312-cp312-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl CPython 3.12 CPython 3.12 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
eikonalfm-0.9.9-cp312-cp312-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl CPython 3.12 CPython 3.12 Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64 Details
eikonalfm-0.9.9-cp312-cp312-macosx_11_0_arm64.whl CPython 3.12 CPython 3.12 macOS 11.0+ ARM64 Details
eikonalfm-0.9.9-cp312-cp312-macosx_10_13_x86_64.whl CPython 3.12 CPython 3.12 macOS 10.13+ x86-64 Details
eikonalfm-0.9.9-cp312-cp312-macosx_10_13_universal2.whl CPython 3.12 CPython 3.12 macOS 10.13+ universal2 (ARM64, x86-64) Details
eikonalfm-0.9.9-cp311-cp311-win_amd64.whl CPython 3.11 CPython 3.11 Windows x86-64 Details
eikonalfm-0.9.9-cp311-cp311-win32.whl CPython 3.11 CPython 3.11 Windows x86-32 Details
eikonalfm-0.9.9-cp311-cp311-musllinux_1_2_x86_64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ x86-64 Details
eikonalfm-0.9.9-cp311-cp311-musllinux_1_2_aarch64.whl CPython 3.11 CPython 3.11 Linux musl 1.2+ ARM64 Details
eikonalfm-0.9.9-cp311-cp311-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl CPython 3.11 CPython 3.11 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
eikonalfm-0.9.9-cp311-cp311-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl CPython 3.11 CPython 3.11 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
eikonalfm-0.9.9-cp311-cp311-macosx_11_0_arm64.whl CPython 3.11 CPython 3.11 macOS 11.0+ ARM64 Details
eikonalfm-0.9.9-cp311-cp311-macosx_10_9_x86_64.whl CPython 3.11 CPython 3.11 macOS 10.9+ x86-64 Details
eikonalfm-0.9.9-cp311-cp311-macosx_10_9_universal2.whl CPython 3.11 CPython 3.11 macOS 10.9+ universal2 (ARM64, x86-64) Details
eikonalfm-0.9.9-cp310-cp310-win_amd64.whl CPython 3.10 CPython 3.10 Windows x86-64 Details
eikonalfm-0.9.9-cp310-cp310-win32.whl CPython 3.10 CPython 3.10 Windows x86-32 Details
eikonalfm-0.9.9-cp310-cp310-musllinux_1_2_x86_64.whl CPython 3.10 CPython 3.10 Linux musl 1.2+ x86-64 Details
eikonalfm-0.9.9-cp310-cp310-musllinux_1_2_aarch64.whl CPython 3.10 CPython 3.10 Linux musl 1.2+ ARM64 Details
eikonalfm-0.9.9-cp310-cp310-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl CPython 3.10 CPython 3.10 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
eikonalfm-0.9.9-cp310-cp310-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl CPython 3.10 CPython 3.10 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
eikonalfm-0.9.9-cp310-cp310-macosx_11_0_arm64.whl CPython 3.10 CPython 3.10 macOS 11.0+ ARM64 Details
eikonalfm-0.9.9-cp310-cp310-macosx_10_9_x86_64.whl CPython 3.10 CPython 3.10 macOS 10.9+ x86-64 Details
eikonalfm-0.9.9-cp310-cp310-macosx_10_9_universal2.whl CPython 3.10 CPython 3.10 macOS 10.9+ universal2 (ARM64, x86-64) Details
eikonalfm-0.9.9-cp39-cp39-win_amd64.whl CPython 3.9 CPython 3.9 Windows x86-64 Details
eikonalfm-0.9.9-cp39-cp39-win32.whl CPython 3.9 CPython 3.9 Windows x86-32 Details
eikonalfm-0.9.9-cp39-cp39-musllinux_1_2_x86_64.whl CPython 3.9 CPython 3.9 Linux musl 1.2+ x86-64 Details
eikonalfm-0.9.9-cp39-cp39-musllinux_1_2_aarch64.whl CPython 3.9 CPython 3.9 Linux musl 1.2+ ARM64 Details
eikonalfm-0.9.9-cp39-cp39-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl CPython 3.9 CPython 3.9 Linux glibc 2.24+ x86-64, Linux glibc 2.28+ x86-64 Details
eikonalfm-0.9.9-cp39-cp39-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl CPython 3.9 CPython 3.9 Linux glibc 2.24+ ARM64, Linux glibc 2.28+ ARM64 Details
eikonalfm-0.9.9-cp39-cp39-macosx_11_0_arm64.whl CPython 3.9 CPython 3.9 macOS 11.0+ ARM64 Details
eikonalfm-0.9.9-cp39-cp39-macosx_10_9_x86_64.whl CPython 3.9 CPython 3.9 macOS 10.9+ x86-64 Details
eikonalfm-0.9.9-cp39-cp39-macosx_10_9_universal2.whl CPython 3.9 CPython 3.9 macOS 10.9+ universal2 (ARM64, x86-64) Details
eikonalfm-0.9.9-cp38-cp38-win_amd64.whl CPython 3.8 CPython 3.8 Windows x86-64 Details
eikonalfm-0.9.9-cp38-cp38-win32.whl CPython 3.8 CPython 3.8 Windows x86-32 Details
eikonalfm-0.9.9-cp38-cp38-musllinux_1_2_x86_64.whl CPython 3.8 CPython 3.8 Linux musl 1.2+ x86-64 Details
eikonalfm-0.9.9-cp38-cp38-musllinux_1_2_aarch64.whl CPython 3.8 CPython 3.8 Linux musl 1.2+ ARM64 Details
eikonalfm-0.9.9-cp38-cp38-manylinux_2_24_x86_64.manylinux_2_28_x86_64.whl CPython 3.8 CPython 3.8 Linux glibc 2.28+ x86-64, Linux glibc 2.24+ x86-64 Details
eikonalfm-0.9.9-cp38-cp38-manylinux_2_24_aarch64.manylinux_2_28_aarch64.whl CPython 3.8 CPython 3.8 Linux glibc 2.28+ ARM64, Linux glibc 2.24+ ARM64 Details
eikonalfm-0.9.9-cp38-cp38-macosx_10_9_x86_64.whl CPython 3.8 CPython 3.8 macOS 10.9+ x86-64 Details

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This release

0.9.9 This release

62 release files

0.9.8

76 release files

0.9.7

35 release files

0.9.6

2 release files

0.9.5

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0.9.4

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0.9.3

1 release file

0.9.1

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0.9.0

2 release files

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