coordinate transformation


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coordinate transformation

[kō′ȯrd·ən·ət tranz·fər′mā·shən]
(mathematics)
A mathematical or graphic process of obtaining a modified set of coordinates by performing some nonsingular operation on the coordinate axes, such as rotating or translating them.
References in periodicals archive ?
In the case of the lizard we have implicitly supposed the existence of a bijective coordinate transformation
Type 1021 contains the 7 parameters for 3-axis coordinate transformation - 3 for 3-axis translation, another 3 for 3-axis rotation, and a scale factor.
Figure 3 displays the coordinate transformation relationship.
This paper is organized as follows: combined with the coordinate transformation, the dynamic governing equations for elastic foundation under a moving load are established in Section 2.
This formula is valid when the sloped and vertical plane of the measured subject surface is flat even if it is not horizontal, where the coordinate transformation becomes possible with the evaluation of b1-b8.
However, these rectification methods, unfortunately, cover only coordinate transformation without addressing distortion correction.
Using coordinate transformation approach analogous to that in [16], we will show the possibility for the appearance of transverse (with respect to the current) component of the field in such a periodic multilayer structure.
For system (10), a common Lyapunov function is difficult to find because a common coordinate transformation of all subsystems is difficult to be exploited.
In addition to traditional correction services, AXIO-NET performs a variety of data-based professional services for the geospatial market, including coordinate transformation services as well as network set-up, configuration and operations consulting.
The authors have organized the main body of their text in ten chapters devoted to underactuated system dynamics and coordinate transformation, controller design, cart pole systems, and a wide variety of other related subjects.
When [a.sub.i] < 0 and [b.sub.i] > 0, define another coordinate system x' obtain by coordinate transformation as follows.

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