Geometric Modeling of Highways Using Global Positioning System Data and
            <i>B</i>
            -Spline Approximation

Ben‐Arieh, David; Chang, Sin-Chung; Rys, Margaret J.; Zhang, Guoxi

doi:10.1061/(asce)0733-947x(2004)130:5(632)

Cited by 52 publications

(26 citation statements)

References 2 publications

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“…Should these measures be used, both curvature (in horizontal alignment) and speed data have to be collected. To obtain alignment data GPS technology has been used recently to collect alignment data for these purposes and various authors have used different approaches for obtaining alignment parameters from GPS data (Ben-Arieh et al 2004;Biagioni, Eriksson 2012;Castro et al 2006). Nevertheless each method has its disadvantages such as limited accuracy or dependency on manual processing.…”

Section: Literature Reviewmentioning

confidence: 99%

Identification of road horizontal alignment inconsistencies – a pilot study from the czech republic

Ambros

Valentová

2016

The Baltic Journal of Road and Bridge Engineering

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There is a problem with inappropriate speed consequences related to horizontal alignment of Czech rural roads. Evaluation of alignment consistency, i.e. the degree to which a road is designed and constructed to avoid critical driving manoeuvres, has been known as one of promising tools in this regard. The objectives of presented pilot study were (1) to prove the practical application on historical rural road, lacking design data, using low-cost technology, (2) to investigate the relation of obtained alignment consistency measures to actual safety, and (3) to propose further steps for practical implementation, e.g. for the needs of road agency. Given these objectives and literature review findings, GPS technology was chosen for data collection, with the aim of using alignment consistency levels. Pilot rural road section was approximately 2.5 km long and consisted of 3 straight segments and 3 curves. Data processing included determination of central trajectory, determination of horizontal alignment elements and segmentation, calculation of consistency measures, and identification of inconsistencies. The results are given in terms of the consistency level of individual curves, followed by validation by the results of accident data analysis. In the end, several practical applications are listed and described.

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Section: Literature Reviewmentioning

confidence: 99%

Identification of road horizontal alignment inconsistencies – a pilot study from the czech republic

Ambros

Valentová

2016

The Baltic Journal of Road and Bridge Engineering

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“…On the basis of (1), the curve between 0 P and 1 P and that between 1  n P and n P is given by (2) and (3) respectively. In (2) and (3), …”

Section: A 3d Alignment Fitting For the First And The Last Sectionmentioning

confidence: 99%

New algorithm for fitting 3D highway alignment from geometric data

Liao

Shao

Zhang

et al. 2010

2010 3rd International Congress on Image and Signal Processing

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Much research on algorithm for fitting highway alignment has been conducted. However, there are also some limitations e.g. hard to collect the source data, high cost, etc. From the point of view of traffic safety assessment techniques of highway alignment, new algorithm for fitting highway alignment is put forward. And the mathematic model and calculation steps of three-dimensional (3D) coordinates and the fitting method of 3D highway alignment are expounded in detail. Then case studies and error analysis of the algorithm are implemented. The algorithm is considered more efficiency, higher accuracy and easier to get the source data etc. than previously developed approaches. The core of the algorithm is using horizontal and vertical geometric data to calculate 3D coordinates, generate control points sequence, and using cubic B-spline approximation to fit 3D highway alignment.

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“…Instead of fitting circular curves to points, Ben‐Arieh et al. (), Castro et al. (), and Cafiso and Di Graziano () generated a spline via all the measured points and then used the second derivative at every point to represent its curvature.…”

Section: Introductionmentioning

confidence: 99%

A Method for Automatically Recreating the Horizontal Alignment Geometry of Existing Railways

Schonfeld

et al. 2018

Computer aided Civil Eng

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Periodic recreation of existing railway horizontal alignment geometry is needed for smoothing the deviations arising from train operations. It is important for calibrating track and rebuilding existing railways to ensure safety and comfort. Track calibration repairs the existing distorted track centerline to match the smoothed recreated alignment, which may differ considerably from the originally designed track centerline. Identifying the boundaries of all the geometric elements including tangents, circular curves, and transition curves is the key problem. Existing methods recreate the horizontal alignment semi‐automatically and can only generate a locally optimized solution while considering a few constraints. Based on the principle that the attributions of all the measured points to geometric elements should be consistent with the ranges of recreated geometric elements (i.e., for points‐alignment consistency), a method called swing iterations is proposed to reclassify point placements and identify all the tangents, circular curves, and transition curves simultaneously. In a swing iteration, the boundary of a geometric element segment repeatedly changes from left to right, then from the right to left, and finally stabilizes. Before the swing iterations, preliminary tangents and curves are identified based on the heading gradient (i.e., the rate of change of heading), and are set as initial values for the swing iterations. A genetic algorithm is developed to further refine the entire recreated alignment after the swing iterations. In the above processes, multiple constraints are handled. Applications demonstrate that this method can identify all horizontal geometric elements automatically and generate an optimized recreated alignment geometry for an existing railway while satisfying all the applicable constraints.

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Geometric Modeling of Highways Using Global Positioning System Data and B -Spline Approximation

Cited by 52 publications

References 2 publications

Identification of road horizontal alignment inconsistencies – a pilot study from the czech republic

Identification of road horizontal alignment inconsistencies – a pilot study from the czech republic

New algorithm for fitting 3D highway alignment from geometric data

A Method for Automatically Recreating the Horizontal Alignment Geometry of Existing Railways

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