By considering railway track geometry as a fractal pattern, the irregularity of the track geometry can be expressed numerically with the help of fractal dimensions. In this study, a novel algorithm based on ruler method has been developed and a program was written to determine the fractal dimensions of railway track geometry graphs. Four different fractal dimensions of D_R1, D_R2, D_R3, and D_R4 were proposed to determine the geometric irregularity of the railway track by using the data of Ankara-Eskişehir High-Speed Railway track. D_R1 and D_R2 were used to quantify short wavelength irregularities while D_R3 and D_R4 were used to quantify medium wavelength irregularities. At the end of the study, the relationship between fractal dimensions and standard deviation values, which is the quality indicator according to EN 13848-6, was investigated. According to this, there is a strong relationship between the D_R3 and the standard deviation.

通过将铁路轨道几何形状视为分形图案，可以借助分形维数以数字形式表示轨道几何形状的不规则性。在这项研究中，开发了一种基于标尺方法的新算法，并编写了确定铁轨几何图形分形维数的程序。提出了四种不同的分形维数D _R 1，D _R 2，D _R 3和D _R 4，以利用安卡拉-爱斯基谢希尔高速铁路的数据确定铁路轨道的几何不规则性。D _R 1和D _R 2用于量化短波长不规则性，而D _R 3和D _R4个用于量化中等波长不规则性。在研究结束时，研究了分形维数与标准偏差值之间的关系，这是根据EN 13848-6的质量指标。据此，D _R 3与标准偏差之间存在很强的关系。