K. Spring. Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: A review. Mechanism and Machine Theory, 21(5):365--373, 1986.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....two local neighbourhoods and provides the analytical form on which an appropriate minimization functional is devised [38, 21] Motion consistency relies on a similar analog to represent motion parameters, namely the rotation matrix Omega . By expressing rotations as their equivalent quaternions [40, 39], and following a similar line of analysis, one obtains a set of updating functions that forms the basis of an iterative filter. Finally, just as curvature consistency preserves the local structure of the underlying surface, motion consistency preserves the structure of the rotation matrix Omega ....

....structure of the representation. For example, an operation such as an average of several rotation matrices has no physical meaning since it destroys important properties of the rotation matrix in the process. To get around this problem we convert estimates of i into their equivalent quaternions [40, 39]. According to Euler s theorem of rigid body motion, a body having undergone any sequence of rotations is equivalent to a single rotation of that body through an angle about an axis n. These parameters are easily determined from Omega . The unit quaternion Q is then defined as follows, Q = ....

K. Spring. Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: a review. Mechanism and Machine Theory, 21(5):365--373, 1986.

....and provides the analytical form on which an appropriate minimization functional is devised [38, 21] Motion consistency relies on a similar analog to represent motion parameters, namely the rotation matrix Omega and translation vector T. By expressing rotations as their equivalent quaternions [40, 39], and following a similar line of analysis, one obtains a set of updating functions that forms the basis of an iterative filter. Finally, just as curvature consistency preserves the local structure of the underlying surface, motion consistency preserves the structure of the rotation matrix Omega ....

....of the representation. For example, an operation such as an average of several rotation matrices has no physical meaning since it destroys important properties of the rotation matrix in the process. To get around this problem we convert estimates of Omega i into their equivalent quaternions [40, 39]. According to Euler s theorem of rigid body motion, a body having undergone any sequence of rotations is equivalent to a single rotation of that body through an angle about an axis n. These parameters are easily determined from Omega . The unit quaternion Q is then defined as follows, Q = 8 ....

K. Spring. Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: a review. Mechanism and Machine Theory, 21(5):365--373, 1986.

....two local neighbourhoods and provides the analytical form on which an appropriate minimization functional is devised [38, 21] Motion consistency relies on a similar analog to represent motion parameters, namely the rotation matrix Omega . By expressing rotations as their equivalent quaternions [40, 39], and following a similar line of analysis, one obtains a set of updating functions that forms the basis of an iterative filter. Finally, just as curvature consistency preserves the local structure of the underlying surface, motion consistency preserves the structure of the rotation matrix Omega ....

....of the representation. For example, an operation such as an average of several rotation matrices has no physical meaning since it destroys important properties of the rotation matrix in the process. To get around this problem we convert estimates of Omega i into their equivalent quaternions [40, 39]. According to Euler s theorem of rigid body motion, a body having undergone any sequence of rotations is equivalent to a single rotation of that body through an angle about an axis n. These parameters are easily determined from Omega . The unit quaternion Q is then defined as follows, Q = 8 ....

K. Spring. Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: a review. Mechanism and Machine Theory, 21(5):365--373, 1986.

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K. Spring. Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: A review. Mechanism and Machine Theory, 21(5):365--373, 1986.

No context found.

K. Spring. Euler parameters and the use of quaternion algebra in the manipulation of finite rotations: a review. Mechanism and Machine Theory, 21(5):365--373, 1986.

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