Criterion Matrices for Deforming Networks

Grafarend, Erik W.

doi:10.1007/978-3-642-70659-2_15

Cited by 27 publications

(5 citation statements)

References 1 publication

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“…Квалитет геодетске мреже је дефинисан прецизношћу, поузданосшћи, осјетљивошћу и цијеном реализације [1] [2] [3]. Проблематиком оптимизације геодетских мрежа и дефинисањем поступака пројектовања геодетски стручњаци се баве још од 1980-их година [4]. Проблеми пројектовања се могу ријешити коришћењем аналитичких или херуистичких метода [5].…”

Section: уводunclassified

Geodetic Control of Geometry of Engineering Facility During Construction – Case Study Residential–business Facility in Srbac

Janković,

Vasiljević,

Božić

2021

STEPGRAD

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The paper presents the procedure of geodetic control of the geometry of a residential-business building under construction, by testing the compliance of the position of the designed and constructed characteristic points of the building. It is described the manner of designing and establishing a geodetic network from which the marking and control of geometry was performed. Based on the obtained results, it was concluded that the derived geometry is agreed with designed one. In this way, it was once again confirmed that the establishment of a quality geodetic network, marking and the application of suitable models for testing linear hypotheses play an important role in the successful realization of the projected geometry of the object using geodetic methods.

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Section: уводunclassified

Geodetic Control of Geometry of Engineering Facility During Construction – Case Study Residential–business Facility in Srbac

Janković,

Vasiljević,

Božić

2021

STEPGRAD

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“…An extensive and detailed review of all geodetic network optimization procedures can be found in Тамутис (1979) and Grafarend and Sansò (1985). Besides, there are many other recent studies dealing with the optimization of geodetic networks, and some of them are: Bagherbandi et al (2009), Doma and El Shoney (2011), Dwivedi and Dikshit (2013), Pachelski and Postek (2016), Postek (2021).…”

Section: Introductionmentioning

confidence: 99%

The use of VIKOR Method in Finding the Optimal Solution for a Special-Purpose Geodetic Network Design

Anđić,

Đurović

2023

geod. vestn.

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This study deals with the use of VIKOR method in finding the optimal solution for a special-purpose geodetic network design. It is about a multi-criteria compromise ranking method developed in 1986. Based on previously defined criteria functions related to precision and reliability, four acceptable alternative solutions were firstly established. Then, with the aim of finding the optimal one, those solutions were subjected to VIKOR method. The geodetic micro-network used in this study was simulated as a trilateration one and consisted of six control points discretizing a structural geometry as well as four, five or six reference points (pillars), depending on what alternative solution it was about. The optimal network design should have ensured the detection of deviations of the control points' positions in accordance with a priori introduced tolerances and constraints. It turned out the approach based on VIKOR method is a very efficient tool in tasks involving multiple conflicting requirements referred to a geodetic engineer and in the cases when the decision must be made in a short term.

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“…To apply the continuum mechanics principles into the discrete dataset, we use interpolation methods, such as the ones applied in discrete variational formulations (i.e., Finite Element Methods (FEM), Particle Methods, Collocation Methods, Mesh-less methods, etc.). Specifically, we derive the three-dimensional strain-rate tensor from a FEM interpolation of the discrete velocity field, as introduced in [40][41][42]. We include the trajectory lines of the principal strain-rate components as the methodology that can be used in a computational (two-dimensional) framework for visualizing the main patterns of change in any time-dependent data cloud.…”

Section: Introductionmentioning

confidence: 99%

Visualization of the Strain-Rate State of a Data Cloud: Analysis of the Temporal Change of an Urban Multivariate Description

Salazar-Llano

Bayona-Roa

2019

Applied Sciences

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One challenging problem is the representation of three-dimensional datasets that vary with time. These datasets can be thought of as a cloud of points that gradually deforms. However, point-wise variations lack information about the overall deformation pattern, and, more importantly, about the extreme deformation locations inside the cloud. This present article applies a technique in computational mechanics to derive the strain-rate state of a time-dependent and three-dimensional data distribution, by which one can characterize its main trends of shift. Indeed, the tensorial analysis methodology is able to determine the global deformation rates in the entire dataset. With the use of this technique, one can characterize the significant fluctuations in a reduced multivariate description of an urban system and identify the possible causes of those changes: calculating the strain-rate state of a PCA-based multivariate description of an urban system, we are able to describe the clustering and divergence patterns between the districts of a city and to characterize the temporal rate in which those variations happen.

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Criterion Matrices for Deforming Networks

Cited by 27 publications

References 1 publication

Geodetic Control of Geometry of Engineering Facility During Construction – Case Study Residential–business Facility in Srbac

Geodetic Control of Geometry of Engineering Facility During Construction – Case Study Residential–business Facility in Srbac

The use of VIKOR Method in Finding the Optimal Solution for a Special-Purpose Geodetic Network Design

Visualization of the Strain-Rate State of a Data Cloud: Analysis of the Temporal Change of an Urban Multivariate Description

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