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Recently, a fractal analysis has been used as a useful tool in the characterization of the geometry. Especially in fractal analysis, a fractal interpolation method has been widely used to estimate and analyse experimental geometry. Due to the chaotic nature of the dynamic roundness profile in round shape machining, a more desirable method must be used for the analysis of experimental data which is natural to sequential data. A fractal method which is analysed in this paper focused its objects on the scope of the fractal interpolation and fractal dimension. Also for the calculation of fractal dimension, two methods for computing the fractal dimension have been introduced and discussed. These two methods can calculate the fractal dimensions of dynamic roundness profile according to the number of data points in which the fixed data are generally lower than 120 data points. This fractal analysis shows that it is possible to analysis fractal characteristics of roundness profile that have some different geometric properties. The fractal parameters were calculated and analysed using the measured profile of workpiece after turning. [ABSTRACT FROM AUTHOR]