Curve parameter identification algorithm based on versine diagram and angle diagram

Abstract

Provided is a curve parameter identification algorithm based on a versine diagram and an angle diagram. Curves in lines are generally in structure of ''first easement curve-circular curve-second easement curve'', the shape and position are determined by five parameters of four main feature points (including a tangent-spiral point ZH, a gradual circle point HY, a circular gradual point YH, and a spiral-tangent point HZ) and a circular curve radius R. The identification algorithm comprehensively uses the Hough transform, robust estimation, and an iterative method to process a versine diagram and an angle diagram, to respectively obtain two kinds of feature points and a radius. Since the versine diagram and the angle diagram are characterized by advantage and disadvantage complementation, two kinds of results are complementary, and a result which is closest to a design value is used. The innovation of the identification algorithm is that: first, except versine, the angle diagram is also used to identify curve parameters, second, the Hough transform in image processing is applied in data processing, and the Hough transform is combined with the robust estimation method to realize automatic identification and a function of fitting a plurality of lines and parabolas, third, identification results of the versine diagram and the angle diagram are complementary and the optimal result is used.

Description

technical field [0001] The invention relates to a data processing algorithm for identifying curve parameters based on positive vector diagrams and angle diagrams, which is applied to retesting and rectification of curved lines such as railways and highways. Background technique [0002] When retesting and rectifying a curved line, it is necessary to determine an ideal curve with the highest degree of fit with the actual line. Accurately identifying the parameters of this ideal curve is the goal of the present invention. [0003] The most typical single-curved line among the curved lines has a structure of "first transitional curve-circular curve-second transitional curve". , slow straight point HZ) and the radius R of the circular curve are determined by five parameters [1] . Most literatures use the robust estimation method or the least squares method to determine these parameters, and the data used are mostly positive vectors, curvatures or absolute coordinates. The ang...

AI Technical Summary

Problems solved by technology

Due to its accumulation characteristics, the angle map greatly reduces random errors and has strong anti-interference, but the system error will become larger and larger due to the accumulation; the random error of the positive vector map is large, and the anti-interference is weak, but System error is small

Therefore, the advantages and disadvantages of angle graphs and positive vector graphs are complementary

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