Euler to Quaternion Converter

Convert Euler angles (roll, pitch, yaw) to quaternion representation

Euler Angles Input

Quaternion Result

Quaternion (w, x, y, z):

(1.000000, 0.000000, 0.000000, 0.000000)

w (scalar)

1.000000

x (i)

0.000000

y (j)

0.000000

z (k)

0.000000

Equivalent Axis-Angle

Rotation Axis

(0.0000, 0.0000, 1.0000)

Rotation Angle

0.0000°

About Euler to Quaternion Conversion

The conversion depends on the rotation order. Common conventions:

  • ZYX (Tait-Bryan): Common in aerospace (yaw-pitch-roll)
  • XYZ: Common in robotics
  • ZXZ (Euler): Classic Euler angles

Quaternions avoid gimbal lock that occurs with Euler angles at certain configurations.