3D Rotations and Quaternions 與 eigenCalc 使用情況與統計

“3D Rotations and Quaternions” app helps understand and visualize 3D rotations. Chapters 1-3 Conversions, algorithms, interactive graphs, and animations of the four standard 3D rotation representations: 1. Euler angles. 2. Axis - angle. 3. Quaternion. 4. Rotation matrix. The user can define rotation as Euler angles, axis-angle, or Quaternion to convert it to the other representations. Chapter 4 Data, algorithms, graphs and animations for both linear and spherical interpolation between two quaternions. Chapter 5 Visualization and data for rotation of user-defined point by user-defined Quaternion. Chapter 6 Data, calculation algorithm, corresponding matrix, and interactive graph for the quaternion that results in rotation between user-defined vectors v and w. Chapter 7 Serial rotations with up to 10 quaternions. Chapter 8 Quaternion calculation based on constant angular velocity and time. Chapter 9 Reflection of a point across a plane. Developers hope to get feedback from users at graphmath@aol.com.