C3Position

C3Position is a term used in robotics, computer graphics, and geospatial systems to denote the pose of a rigid body with respect to a reference coordinate frame labeled C3. A pose combines a translational part indicating the position of the origin of the body in 3D space and an orientational part describing its rotation relative to the frame. The position is typically represented by a three-component vector (x, y, z); the orientation may be expressed as a quaternion (x, y, z, w), Euler angles (roll, pitch, yaw), or a rotation matrix.

In practice, C3Position is stored either as a pose object or as a 4x4 homogeneous transformation matrix that includes a 3x3 rotation and a 3x1 translation. Transforming C3Position to another frame involves applying the appropriate rigid-body transformation, often written as T' = [R' t'; 0 1] T, where T encodes the C3 position.

C3Position is central to tasks such as motion planning, state estimation, mapping, and animation. In robotics, C3Position data feed Kalman filters or particle filters to track object pose. In computer graphics, it defines the placement and orientation of models within a scene. In mapping and GIS, it can describe the location and heading of features relative to a base frame.

See also: Pose, Transformation matrix, Quaternion, Coordinate frame, Homogeneous coordinates.