Robotics · October 2026

Quaternion ↔ Euler Converter

Convert orientations the way ROS does, and stop guessing axis orders.

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Quaternion ↔ Euler Converter
The Quaternion ↔ Euler Converter running in the browser.

About

About Quaternion ↔ Euler Converter

Orientation is where many ROS bugs hide. A sensor mounted upside down, a camera frame pointing the wrong way, a quaternion copied with its components in the wrong order: all of these produce robots that are confidently wrong. The Quaternion ↔ Euler Converter makes orientations easy to check.

What it does

  • Converts roll, pitch and yaw (degrees or radians) to a quaternion and back, using the ROS conventions from REP 103.
  • Draws the rotated axes over the original frame in a 3D view you can orbit.
  • Shows the rotation matrix, the axis and angle, and the equivalent negated quaternion.
  • Warns about unnormalised quaternions and gimbal lock.
  • Writes ready-to-paste static_transform_publisher commands, a URDF joint, a message snippet, and Python and C++ code.

How it is checked

We compare the converter with SciPy's rotation module and ROS's own tf_transformations package on thousands of random orientations, including the gimbal-lock cases. The results agree to about 10−13 radians.

Open the Quaternion ↔ Euler Converter. The guides below explain quaternions, the ROS axis conventions, gimbal lock, conversion code in Python and C++, and static transforms for sensors.

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Team

The people behind Quaternion ↔ Euler Converter

The team that builds, runs and answers for this project on XPARO.

pankaj

Owner

Robotics Engineer specializing in ROS2, autonomous navigation, and full-stack robotic system development. Proven experience in building real-world robots with…

FAQ

Questions, answered

Which convention does the converter use?

The ROS convention from REP 103: roll about X, pitch about Y and yaw about Z, applied as fixed-axis X then Y then Z rotations, which equals intrinsic Z-Y'-X'' rotations. Quaternions are written x, y, z, w like geometry_msgs.

Does it match tf2 and tf_transformations?

Yes. The results match tf2's Quaternion::setRPY and getRPY and the Python quaternion_from_euler and euler_from_quaternion functions.

Is it free?

Yes, and it runs entirely in your browser.

Contact

Get in touch

Questions, ideas, or want to work with the team? Your message goes straight to the Quaternion ↔ Euler Converter team on XPARO. Add your email if you'd like a reply.

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