Wavelet strategy for surface roughness analysis and characterisation

This paper proposes a new strategy for surface roughness analysis and characterisation based on wavelets. A three-step algorithm is proposed to perform a task of surface roughness discrimination between surface texture images coming from eight different engineering processes. The first step of the algorithm is the analysis of the images by frequency normalised wavelet transform (FNWT). From this process, images are obtained that are a space-frequency representation of the surface textures. Next, simple characterisation parameters are extracted from these images. Finally, two discrimination processes are presented, namely discriminant analysis and cluster analysis. It is seen that this strategy gives excellent results for this task which justifies its use for practical industrial applications.

[1]  Jean-Pierre Antoine,et al.  Image analysis with two-dimensional continuous wavelet transform , 1993, Signal Process..

[2]  G. MallatS..  A Theory for Multiresolution Signal Decomposition , 1989 .

[3]  Rupert G. Miller.  The jackknife-a review , 1974 .

[4]  Josef Kittler,et al.  Floating search methods in feature selection , 1994, Pattern Recognit. Lett..

[5]  Brian Everitt,et al.  Cluster analysis , 1974 .

[6]  B. Mandelbrot.  Fractal Geometry of Nature , 1984 .

[7]  I. Daubechies.  Orthonormal bases of compactly supported wavelets , 1988 .

[8]  Richard O. Duda,et al.  Pattern classification and scene analysis , 1974, A Wiley-Interscience publication.

[9]  Anil K. Jain,et al.  Feature Selection: Evaluation, Application, and Small Sample Performance , 1997, IEEE Trans. Pattern Anal. Mach. Intell..

[10]  Paul Scheunders,et al.  Statistical texture characterization from discrete wavelet representations , 1999, IEEE Trans. Image Process..

[11]  M. Coster,et al.  Précis d'analyse d'images , 1989 .

[12]  P. Bolon,et al.  Analyse d'images: filtrage et segmentation , 1995 .

[13]  P. Mahalanobis.  On the generalized distance in statistics , 1936 .

[14]  Josef Kittler,et al.  Pattern recognition : a statistical approach , 1982 .

[15]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[16]  Paul E. Green,et al.  Mathematical Tools for Applied Multivariate Analysis , 1976 .

[17]  R. Bargmann,et al.  Multivariate Analysis (Techniques for Educational and Psychological Research) , 1989 .

[18]  B. Manly.  Multivariate Statistical Methods : A Primer , 1986 .

[19]  Keinosuke Fukunaga,et al.  Application of optimum error-reject functions (Corresp.) , 1972, IEEE Trans. Inf. Theory.