3D Rotations and Quaternions

Advanced tools for understanding, converting, and visualizing 3D rotations using quaternions, Euler angles, axis–angle, and rotation matrices.

3D Rotations and Quaternions is an interactive tool for users who work with 3D orientation math in graphics, roboticsor simulation. It provides precise computations, clean visualizations, and fast conversions between the standard rotation representations.

Features include:

• Conversion between Euler angles, axis–angle, quaternions, and rotation matrices • Interactive 3D visualization and rotation animation • Quaternion interpolation (LERP and SLERP) • Rotation of user-defined points by user-defined quaternions • Determination of a quaternion that rotates vector v into vector w • Composition of up to 10 sequential quaternion rotations • Quaternion generation from constant angular velocity and time • Reflection of a point across a plane

Feedback and suggestions: graphmath@aol.com