Quaternion-Based Rotation Representation in Game Engines

Alternative Rotation Representations 3×3 Rotation Matrix Memory overhead: A matrix requires 9 floats, or 16 floats if using an affine transformation Computational complexity: Rotating a vector through matrix multiplication involves 3 dot products, totaling 9 multiplications and 6 additions Poor readability: A matrix is essentially a grid of nu ...

Posted on Wed, 20 May 2026 16:15:33 +0000 by webstyler

3D Coordinate Transformations using Quaternions in the Eigen C++ Library

Quaternion Initialization and Basic Arithmetic In computer graphics and robotics, quaternions are the preferred method for handling 3D rotations due to their robustness against gimbal lock and computational efficiency. The Eigen library provides a comprehensive Quaternion class template to faiclitate these operations. To begin working with quat ...

Posted on Fri, 08 May 2026 04:39:47 +0000 by matthewd