Research on fractal dimension calculation method of machining surface based on wavelet transform

Abstract

Combining the multi-scale analysis ability of wavelet with the multi-scale self-similar feature of fractal, multi-scale wavelet decomposition of fractal contour, based on logarithmic wavelet spectrum, and then evaluating the fractal features of contour and calculating its fractal dimension, The calculation method of fractal dimension logarithmic wavelet spectrum of machined surface contour is compared with the calculation error of power spectral density method and structure function method. Finally, it is applied to the calculation of fractal dimension of actual machined surface contour, which shows its practicability.