New algorithm for fitting 3D highway alignment from geometric data

Abstract

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.

A methodology for sight distance analysis on highways, alignment coordination, and their relation to traffic safety

“…As a first step towards alignment restoration, the adjustment of highway centerlines has been tackled by several authors using cubic splines on horizontal alignment (Castro et al, 2006b;Garach et al, 2014a) and on 3D data (Liao et al, 2010). Goodness of odd-degree piecewisedefined functions (i.e.…”