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Interface for specifying meaning of generalized coordinates of BallJoint and FreeJoint
The meaning of generalized coordinates of BallJoint and FreeJoint is not clear.
BallJoint has rotation matrix R as configuration. Possible coordinate charts are:
r1 = log(R)
r2 = inverseEuluerXYZ(R)
FreeJoint has transformation matrix T as configuration. Possible coordinate charts are:
(q1, q2) = log(T)
(q1, q2) = (log(R), p)
(q1, q2) = (inverseEulerXYZ(R), p)
So we need member functions for the coordinate charts of BallJoint and FreeJoint.
enum CoordinateChart
{
CC_EXP,
CC_EULER_XYZ,
// ...
CC_EULER_ZYX
}
BallJoint::setCoordinateChart(CoordinateChart _chart);
CoordinateChart BallJoint::getCoordinateChart() const;
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