Vector-analysis should have a purely vectorial basis, and the quaternion will then, if wanted at all, merely come in as an occasional auxiliary, as a special kind of operator.

The raw quaternions from the IMU are converted to Euler angles, and the roll angle is extracted using well established mathematical principles. If you'd like to learn more about quaternion to Euler ...

This paper describes a hardware accelerator design for converting quaternion to Euler angles using High Level Synthesis methodology. As a design methodology, automatic code generation from Simulink ...

The cosmos is a unique laboratory for testing the laws of physics, in particular those of Euler and Einstein. Euler described the movements of celestial objects, while Einstein described the way ...

Plotting of three Euler angles using an RGB color scheme is the best way of generating an orientation map, which is normally referred to as a Euler map.

Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...