2012
DOI: 10.3724/sp.j.1246.2012.00034
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Correlation of coordinate transformation parameters

Abstract: Coordinate transformation parameters between two spatial Cartesian coordinate systems can be solved from the positions of non-colinear corresponding points. Based on the characteristics of translation, rotation and zoom components of the transformation, the complete solution is divided into three steps. Firstly, positional vectors are regulated with respect to the centroid of sets of points in order to separate the translation components. Secondly, the scale coefficient and rotation matrix are derived from the… Show more

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Cited by 7 publications
(4 citation statements)
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“…Coordinate transformation decoupling is achieved by introducing virtual power or voltage and frequency, but the output power is still coupled due to small work angle constraints [5]. The article is based on the overall adjustment of the four parameters of the plane coordinate transformation of the inverse solution plane of the common point position [6]. The pathological method matrix may occur due to the dimensional problem, so the generation mechanism of pathology is analyzed, and the solution parameters are decoupled by the center of gravity transformation of the original point [6].…”
Section: Classification Of Power Decouplingmentioning
confidence: 99%
See 1 more Smart Citation
“…Coordinate transformation decoupling is achieved by introducing virtual power or voltage and frequency, but the output power is still coupled due to small work angle constraints [5]. The article is based on the overall adjustment of the four parameters of the plane coordinate transformation of the inverse solution plane of the common point position [6]. The pathological method matrix may occur due to the dimensional problem, so the generation mechanism of pathology is analyzed, and the solution parameters are decoupled by the center of gravity transformation of the original point [6].…”
Section: Classification Of Power Decouplingmentioning
confidence: 99%
“…The article is based on the overall adjustment of the four parameters of the plane coordinate transformation of the inverse solution plane of the common point position [6]. The pathological method matrix may occur due to the dimensional problem, so the generation mechanism of pathology is analyzed, and the solution parameters are decoupled by the center of gravity transformation of the original point [6]. The feed-forward compensation decoupling algorithm eliminates the coupling by introducing feed-forward compensation by the relative gain method, but only in the quasi-steady-state model.…”
Section: Classification Of Power Decouplingmentioning
confidence: 99%
“…The other way is the 'RS' permutation in which S is applied before R, favoured by Andrei (2006) and Fan (2009). The SR affine transformation formula is as follows:…”
Section: Coordinate Frame (Cf) Rotationsmentioning
confidence: 99%
“…where ( , , ) represent the common point coordinates used in transformation, ( , , ) represent the centroid of the common point coordinates, and ( ̅ , ̅ , ̅) represent the deviation amounts from the centroid (Gullu et al 2003, Lan et al 2012. If the Eq.…”
Section: Theoretical Backgroundmentioning
confidence: 99%