Change of Coordinates
In geometry and kinematics, coordinate systems are used not only to describe the (linear) position of points, but also to describe the angular position of axes, planes, and rigid bodies. In the latter case, the orientation of a second (typically referred to as "local") coordinate system, fixed to the node, is defined based on the first (typically referred to as "global" or "world" coordinate system). For instance, the orientation of a rigid body can be represented by an orientation matrix, which includes, in its three columns, the Cartesian coordinates of three points. These points are used to define the orientation of the axes of the local system; they are the tips of three unit vectors aligned with those axes.
Read more about this topic: Coordinate System
Famous quotes containing the word change:
“[T]here is no Part of the World where Servants have those Privileges and Advantages as in England: They have no where else such plentiful Diet, large Wages, or indulgent Liberty: There is no place wherein they labour less, and yet where they are so little respectful, more wasteful, more negligent, or where they so frequently change their Masters.”
—Richard Steele (1672–1729)