Transformation of coordinates using least squares collocation

Deakin, R.; Leahy, F. J.

doi:10.1080/00050326.1994.10441580

Cited by 4 publications

(4 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Examples of the use of linear least squares interpolation for coordinate distortion estimation can be found in Lachapelle and Mainville (1982), Lachapelle (1987) and Deakin et at. (1994).…”

Section: Local Residual Modelling Bymentioning

confidence: 98%

Options and strategies fortransition to GPA94

Collier

Leahy

Argeseanu

1997

Australian Surveyor

Self Cite

View full text Add to dashboard Cite

“…Examples of the use of linear least squares interpolation for coordinate distortion estimation can be found in Lachapelle and Mainville (1982), Lachapelle (1987) and Deakin et at. (1994).…”

Section: Local Residual Modelling Bymentioning

confidence: 98%

Options and strategies fortransition to GPA94

Collier

Leahy

Argeseanu

1997

Australian Surveyor

Self Cite

View full text Add to dashboard Cite

“…In Victoria, some preliminary work has been done in this area, e.g. Deakin et al (1994), however a much more detailed investigation is required after the completion of the GDA94 adjustment in 1997.…”

Section: Local Residual Modelling By Least Squares Interpolationmentioning

confidence: 99%

“…Examples of the use of linear least squares interpolation for coordinate distortion estimation can be found in Lachapelle and Mainville (1982), Lachapelle (1987) and Deakin et al (1994).…”

Section: Local Residual Modelling By Least Squares Interpolationmentioning

confidence: 99%

Options and Strategies for Transition to GDA94

Collier

Leahy

Argeseanu

1997

Australian Surveyor

View full text Add to dashboard Cite

The adoption of a new geocentric datum in Australia has been recently proposed. In accepting this proposal. options for making the transition to the new datum will need to be carefully considered. Spatial data can take various forms. ranging from survey control networks through to plans. maps and digital geographic information systems. All such spatial data will have to be related to the new datum when and if that datum Is adopted. This paper presents some of the options for transforming spatial data to the new Geocentric Datum of Australia.

show abstract

“…The idea of this method was proposed and developed in the following studies inter alia [ 31 , 32 , 33 , 34 , 35 ]. The LSC was applied in solving various geodetic problems, including, inter alia, determination of gravimetric measurements results [ 36 , 37 , 38 ] and coordinates transformation [ 39 , 40 , 41 , 42 ]. In the paper [ 43 ], the use of collocations in the mobile LiDAR (Light Detection and Ranging) system was proposed.…”

Section: Introductionmentioning

confidence: 99%

Estimation and Prediction of Vertical Deformations of Random Surfaces, Applying the Total Least Squares Collocation Method

Wiśniewski

Kamiński

2020

Sensors

View full text Add to dashboard Cite

This paper proposes a method for determining the vertical deformations treated as random fields. It is assumed that the monitored surfaces are subject not only to deterministic deformations, but also to random fluctuations. Furthermore, the existence of random noise coming from surface’s vibrations is also assumed. Such noise disturbs the deformation’s functional models. Surface monitoring with the use of the geodetic levelling network of a free control network class is carried out. Assuming that, in some cases, the control networks are insufficient in surface’s deformation analysis, additional and non–measurable reference points have been provided. The prediction of these points’ displacements and estimation of the free control network points’ displacement are carried out using the collocation method applying the total least squares adjustment. The proposed theoretical solutions were verified by the simulation methods and on the example of a real control network.

show abstract

Transformation of coordinates using least squares collocation

Cited by 4 publications

References 3 publications

Options and strategies fortransition to GPA94

Options and strategies fortransition to GPA94

Options and Strategies for Transition to GDA94

Estimation and Prediction of Vertical Deformations of Random Surfaces, Applying the Total Least Squares Collocation Method

Contact Info

Product

Resources

About