Quaternion yaw, pitch and roll

Online calculator calculates quaternions from the values of yaw, pitch and roll

The function on this page generates a quaternion from the values of the three angles for yaw, pitch and roll.

To perform the calculation, enter the angles in degrees or radians for yaw, pitch and roll. Then click on the 'Calculate' button.

Empty fields count as 0.

Quaternion Rechner

Input
Achsen Winkel Quaternion
Y Yaw = X
X Pitch Y
Z Roll Z
Rotation W
Angle unit of measure
Decimal places

Description


The quaternion represents a vector used to encode three-dimensional physical rotations. It is used to efficiently rotate an object around the (x,y,z) vector by angle theta, where the following applies:

w = cos(theta/2)

Components

W - The rotation component.
X - The X value of the vector component.
Y - The Y value of the vector component.
Z - The Z value of the vector component.


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