**Conversion Between Quaternions And Euler Angles**

Spatial rotations in three dimensions can be parametrized using both Euler angles and unit quaternions. This article explains how to convert between the two representations. Actually this simple use of "quaternions" was first presented by Euler some seventy years earlier than Hamilton to solve the problem of magic squares. For this reason the dynamics community commonly refers to quaternions in this application as "Euler parameters".

Read more about Conversion Between Quaternions And Euler Angles: Definition, Rotation Matrices, Relationship With Tait–Bryan Angles, Singularities

### Other articles related to "conversion between quaternions and euler angles, euler angle":

**Conversion Between Quaternions And Euler Angles**- Singularities

... One must be aware of singularities in the

**Euler angle**parametrization when the pitch approaches ±90° (north/south pole) ...

### Famous quotes containing the word conversion:

“The *conversion* of a savage to Christianity is the *conversion* of Christianity to savagery.”

—George Bernard Shaw (1856–1950)