# homogeneous transformation

## homogeneous transformation

[‚hä·mə′jē·nē·əs ‚tranz·fər′mā·shən]
(mathematics)
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In this investigation, the homogeneous transformation is utilized to develop the kinematics and dynamics of steering tires.
In this section, the homogeneous transformation is employed as a tool to develop the steering tire kinematics from which the ground-contact point is derived.
T] in the matrix of the homogeneous transformation is found out by using the following formulae:
Combining (6)-(9), the matrix of homogeneous transformation is formed to rearrange the position of the end-effector from relative coordinate system [O.
The mapping between configuration space and task space can be described by homogeneous transformation matrix from the base to the end-effector.
We divide a polyhedron into many segments and apply linear homogeneous transformation in each segment to get homogeneous constitutive parameters.
The kinematical deviation due to part locating and relocating is modelled by the Homogeneous Transformation Method.
It is a nice illustration of a utilization of matrices in geometry, application of homogeneous coordinates, homogeneous transformation matrices and matrix algebra (Many similar exercises can be found in [Cox, 1998], [Craig, 1986], [Tsai, 1999]).
o2]) in the matrix of homogeneous transformation was found from equation (10).
In this way, the definition of element's "i" relative position, in comparison with element "i-1", is made by a homogeneous transformation matrix, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], where: [d.
For transformation from Cartesian system OXYZ into Cartesian system O'X'Y'Z' the homogeneous transformation matrixes were used.
Homogeneous Transformation Matrix (HTM) is used to express the kinematics relations of a machine tool.

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