Study on the calculation method for fractal topography surface of machining based on wavelet coefficients

In this paper, a calculation method of the fractal dimensions by wavelets transform coefficients is proposed to characterize topography surface fractal characteristics. Surface profile is simulated based on the Majumdar-Bhushan function. The calculation fractal dimensions are analyzed adapting Daubechies wavelet in different decomposition scales and order. The calculation fractal dimensions accuracy are analyzed and selected for decomposition scale. At last, the fractal characteristics of the boring machine joint experimental surfaces are estimated. The wavelet transform coefficients method is the powerful tool for research on the fractal surface.