复合评定法在三维粗糙表面评定中的应用

doi:10.3969/j. issn.1000-1158.2014.05.02

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Abstract Engineering surfaces always have fractal characteristics and now a composite evaluation method is proposed in which the dual tree complex wavelet combined with fractal theory. By using the dual-tree complex wavelets approximate translation invariance and good directions, signal is decomposed into a more delicate low and high frequency signals. Meanwhile, according to the invariance of the signals fractal dimension under multi - scale, the fractal dimension of signals is obtained by the use of the autocorrelation image gray value, and the dual tree complex wavelets decomposition scale is verified by calculating the different fractal dimensions between the high and low frequency signals (the fractal dimension distance). The simulation results show that the datum can be well extracted by the use of the composite evaluation method, and the accuracy of decomposition level which is confirmed by the fractal dimension distance is verified by the use of the root mean square value. Two examples illustrate that reference and waviness of the nano-scale three-dimensional rough surfaces which have fractal characteristic can be well extracted by the use of the composite evaluation method, which provides a reliable theoretical basis for the assessment of the actual engineering surface.

Key words： Metrology Rough surface Fractal theory Dual-tree complex wavelet Composite assessment

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/ 10.3969/j. issn.1000-1158.2014.05.02 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2014/V35/I5/414

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