# 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 ?
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.
Rectification entails complex matrix calculations for coordinate transformation, shown in (1) and (5), and requires the calculations of seventh-degree polynomials for distortion correction, shown in (2), (3), and (4).
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.
To solve this problem, the space coordinate transformation is introduced to map acceleration signals collected by the smartphone in the smartphone's coordinate space to the inertial coordinate space to overcome the drift of acceleration signals caused by the posture change of the smartphone [10], to ensure the acceleration signals accuracy and stability whichever posture the smartphone is.
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.
i] [greater than or equal to] 0, define another coordinate system x' obtained by coordinate transformation as follows.
This coordinate transformation can be described by the follow equations:
proposed a linear homogeneous coordinate transformation method [19].
As a continued work of [11], we will compare its performance for the uncertainty coordinate transformation with another method using the coordinate rotation [10] in this paper.
Making use of the coordinate transformation [xi] = [xi] (x, y, z), n = n (x, y, z), and Z = Z (x, y, z), the Maxwell's Equations (1) and (2) in the (x, y, z) coordinates can be rewritten in the ([xi], [eta], [zeta]) coordinate system.
The maximal residual of coordinate transformation is 0.

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