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 words change of and/or change:
“This is the end, the redemption from Wilderness, way for the Wonderer, House sought for All, black handkerchief washed clean by weeping—page beyond Psalm—Last change of mine and Naomi—to God’s perfect Darkness— Death, stay thy phantoms!”
—Allen Ginsberg (b. 1926)
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From its own wreck the thing it contemplates;
Neither to change nor falter nor repent;
This, like thy glory, Titan! is to be
Good, great and joyous, beautiful and free;
This is alone Life, Joy, Empire and Victory.”
—Percy Bysshe Shelley (1792–1822)