homogeneous transformation

homogeneous transformation

[‚hä·mə′jē·nē·əs ‚tranz·fər′mā·shən]
(mathematics)
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The kinematical deviation due to part locating and relocating is modelled by the Homogeneous Transformation Method.
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.