Moreover; in the IPPLEGA we took advantage of a proposed
transformation matrix (TM).
The application of Algorithm 1 from [2] to Q yields the
transformation matrixwhere S([LAMBDA]) is a 4 x 4 matrix which depends only on the relative velocities of O and O' and [LAMBDA] is the Lorentz
transformation matrix. S ([LAMBDA]) has an inverse if O [right arrow] O' and also O' [right arrow] O.
in which Q is the
transformation matrix from the global to local coordinates.
[mathematical expression not reproducible] is the
transformation matrix from the rectangular to the inverted trapezoidal.
Next, this system calculates a
transformation matrix to convert the coordinates system whose origin is a set point to Senz3D coordinates system.
To retain the rotational invariance structure in the space-time beam-space, the conjugate centrosymmetric DFT matrix is applied as the
transformation matrix [20].
First, according to the joint angles measured by the absolute position sensor, the homogeneous
transformation matrix [sup.base][T.sub.end] between the end and the mounting base of the manipulator is calculated by the manipulator's forward kinematics.
The supersymmetrized versions of the bosonic quantities can be obtained by acting with the
transformation matrix M.
where T is the standard (6 x 6)
transformation matrix. The corresponding concrete stresses, [[sigma].sub.123], are determined from equivalent uniaxial constitutive laws for axial and shear stresses (Figure 5(a)).
Then the homogeneous
transformation matrix is applied for representing geometric relations between cameras from different coordinate system.