quaternion_to_euler
Implementation of a direct quaternion_to_euler method that works for every sequence.
Science Score: 57.0%
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Low similarity (6.5%) to scientific vocabulary
Repository
Implementation of a direct quaternion_to_euler method that works for every sequence.
Basic Info
- Host: GitHub
- Owner: evbernardes
- Language: Python
- Default Branch: main
- Size: 11.7 KB
Statistics
- Stars: 12
- Watchers: 1
- Forks: 2
- Open Issues: 0
- Releases: 0
Metadata Files
README.md
Quaternion to Euler Scipy Implementation
It contains the implementation of the method described in https://doi.org/10.1371/journal.pone.0276302. for the direct conversion of a rotation Quaternion into Euler angles of any given sequence.
Note: sadly, the original paper was published with some typos in the equations. For an updated version with the correct equations, check Chapter 10 of my PhD thesis manuscript.
This implementation is heavily based in the older Scipy implementation.
Unit tests
All the necessary unit tests showing the correctedness of the algorithm can be seen in the the Scipy implementation: github.com/scipy/.../test_rotation.py.
This algorithm has been integrated in the following projects:
Contents:
- eulerfromquat.py: Implementation of the method in Scipy-based code style.
- main.py: Execution time comparison of both methods.
Little warning:
On the PLOS ONE paper, I am following the convention of real part as the first element (like SymPy, for example.)
In this implementation, I am following SciPy's convention of the real part as the last element.
This means that, for example, a rotation around axis x of angle 90 degrees should be:
q = np.asarray([[1/sqrt(2), 0, 0, 1/sqrt(2)]])
Instead of:
q = np.asarray([[1/sqrt(2), 1/sqrt(2), 0, 0]])
Owner
- Name: Evandro
- Login: evbernardes
- Kind: user
- Repositories: 3
- Profile: https://github.com/evbernardes
Citation (CITATION.cff)
message: "If you use this software, please cite it as below."
authors:
- family-names: Bernardes
given-names: Evandro
orcid: https://orcid.org/0000-0001-7239-0878
- family-names: Viollet
given-names: Stéphane
orcid: https://orcid.org/0000-0003-1585-9822
title: "Quaternion to Euler angles conversion: a direct, general and computationally efficient method"
version: 1.0.0
date-released: 2022-04-25
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