Problems of Selecting the Wavelet Transform Parameters in the Aspect of Surface Texture Analysis

This paper discusses one of the most important problems related to analysis of surface texture using wavelet analysis - the problem of selection of mother wavelet and decomposition level. The literature related to wavelet transform does not explicitly determine which mother wavelet is most suitable for surface profile analysis and at which level of decomposition this analysis should be performed. The paper describes the criteria of selection of the mother wavelet from the aspect of analysis of two-dimensional surface texture. Details of the algorithms are also included. The calculations were performed on the 3D roughness profiles. The evaluation was based on five selection criteria: autocorrelation test, Pearson correlation, evaluation of 3D roughness parameters, Hotelling test and entropy-based method. The calculations were performed in authorial computer procedures coded in MATLAB software