ISPRS annals of the photogrammetry, remote sensing and spatial information sciences · 2013 · 61 citations · 14 references
ArchitectureGeoinformatics3D ModelingGeometric ModelingMachine VisionCurve FittingCurve InterpolationCurve ModelingShape InterpolationSurface InterpolationSurface Reconstruction3D Laser ScanningLaser ScannersLaser ScanningObjectsPositionRelative Height MeasurementSurface Model ReconstructionThree-dimensional Laser Scanning
Abstract. We present a method for detecting and modelling rails in mobile laser scanner data. The detection is based on the properties of the rail tracks and contact wires such as relative height, linearity and relative position with respect to other objects. Points classified as rail track are used in a 3D modelling algorithm. The modelling is done by first fitting a parametric model of a rail piece to the points along each track, and estimating the position and orientation parameters of each piece model. For each position and orientation parameter a smooth low-order Fourier curve is interpolated. Using all interpolated parameters a mesh model of the rail is reconstructed. The method is explained using two areas from a dataset acquired by a LYNX mobile mapping system in a mountainous area. Residuals between railway laser points and 3D models are in the range of 2 cm. It is concluded that a curve fitting algorithm is essential to reliably and accurately model the rail tracks by using the knowledge that railways are following a continuous and smooth path.
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Martin A. Fischler, Robert C. Bolles · Communications of the ACM · 1981 · 25.5K citations · Full text
Monte Carlo sampling methods using Markov chains and their applications
W. Keith Hastings · Biometrika · 1970 · 15.2K citations
Monte Carlo Sampling Methods Using Markov Chains and Their Applications
W. K. Hastings · Biometrika · 1970 · 1.5K citations
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Robert E. Kass, W. R. Gilks, S. Richardson et al. · Journal of the American Statistical Association · 1997 · 1.4K citations