Vector Gem vs 3D Rotations and Quaternions

Vector Gem allows the input and three-dimensional display of vectors, lines and planes. The input supports different forms (e.g. linear equation, vector form, normalized form, ...) Vector Gem can display the starting point, the direction vectors and the normalized vector for each plane and calculate the intersection points with the axes. For lines it can display the starting point and the direction vector and calculate the points of intersection with the coordinate planes. The color can be selected for each object along with different settings for the display.

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