Examples

This section contains practical examples demonstrating FastQuat’s capabilities.

• Quaternion Rotation and Spherical Cap Visualization
• SLERP Visualization on the Unit Sphere

Quaternion Rotation and Spherical Cap Visualization

This example shows how to:

• Use jax.scipy.spatial.transform.Rotation.from_euler to create rotations

• Convert rotation matrices to quaternions using FastQuat

• Visualize quaternion rotations with spherical caps

• Demonstrate quaternion multiplication for creating compound rotations

SLERP Visualization on the Unit Sphere

This example demonstrates:

• Spherical Linear Interpolation (SLERP) between quaternions

• Animated visualization of rotation paths on the unit sphere

• Analysis of SLERP’s constant angular velocity property

• Generation of smooth rotation animations using SLERP

These examples showcase FastQuat’s integration with the scientific Python ecosystem and demonstrate practical applications in 3D graphics and robotics.