Transformation of 3D Co-ordinates

Harvey, Bruce

doi:10.1080/00050326.1986.10435216

Cited by 45 publications

(24 citation statements)

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“…This involves an origin shift in three dimensions, a rotation about each axis, and a change in scale, which is usually expressed in parts per million (ppm). The process can be simplified when using small axial rotations by producing a combined rotation matrix (Harvey, 1986). The analysis in this study was based on the data collection in the X and Y-directions, since the movement in these directions are greater than this obtained in Z-direction, thus we declined the data in Z-direction.…”

Section: Discussionmentioning

confidence: 99%

Monitoring of bridge deformation using GPS technique

Kaloop

2009

KSCE J Civ Eng

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Tianjin Yonghe Bridge is one of the important infrastructures in China where it serves as the crucial links in the transport network. Monitoring and maintenance of this bridge are essential tasks in prolonging its life. In this paper, GPS system was used for deformation data collection. Two analytical methods namely; Kalman Filter (KF) and Parametric Least Square (PLS) were used for the adjustment of these data. The analysis of test results indicate that: (1) the traffic loads are the main factor affects bridge damage, (2) after ten months of traffic opening, the south tower of bridge was returned to its original case, and (3) the maximum deformation was pronounced 48.2 m far from the beginning abutment after six months of bridge opening.

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Section: Discussionmentioning

confidence: 99%

Monitoring of bridge deformation using GPS technique

Kaloop

2009

KSCE J Civ Eng

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“…In the space coordinate system conversion [22], the Bursa-Wolf model is widely used in the form [23]:

[\begin{matrix} x_{s} \\ y_{s} \\ z_{s} \end{matrix}] = λ [\begin{matrix} x_{w} \\ y_{w} \\ z_{w} \end{matrix}] R + T

where, R is the rotation matrix from the global coordinate system O w - xyz to the measuring rod coordinate system O s - xyz . Set ε x , ε y , and ε z are the three rotation angles around the X-, Y- and Z-axis in the global coordinate system O w - xyz .…”

Section: Major Factors Influencing Measuring Uncertaintymentioning

confidence: 99%

A Fast Measuring Method for the Inner Diameter of Coaxial Holes

Wang

Yang

et al. 2017

Sensors

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A new method for fast diameter measurement of coaxial holes is studied. The paper describes a multi-layer measuring rod that installs a single laser displacement sensor (LDS) on each layer. This method is easy to implement by rotating the measuring rod, and immune from detecting the measuring rod’s rotation angles, so all diameters of coaxial holes can be calculated by sensors’ values. While revolving, the changing angles of each sensor’s laser beams are approximately equal in the rod’s radial direction so that the over-determined nonlinear equations of multi-layer holes for fitting circles can be established. The mathematical model of the measuring rod is established, all parameters that affect the accuracy of measurement are analyzed and simulated. In the experiment, the validity of the method is verified, the inner diameter measuring precision of 28 μm is achieved by 20 μm linearity LDS. The measuring rod has advantages of convenient operation and easy manufacture, according to the actual diameters of coaxial holes, and also the varying number of holes, LDS’s mounting location can be adjusted for different parts. It is convenient for rapid diameter measurement in industrial use.

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“…similarity, Helmert, Bursa-Wolf, Molodensky-Badekas. A detailed description of the method can be found in Harvey (1986).…”

Section: Transformation Without Distortion Modellingmentioning

confidence: 99%