Multiple-Scale Wavelet Decomposition, 3D Surface Feature Exaction and Applications

Abstract

This paper presents a method of applying wavelets to decompose three-dimensional surface into multiple-scale subsurfaces, and of using the subsurface features to predict surface functions and detect machining errors. The one-dimensional discrete wavelet decomposition is first introduced, and then, it is extended to decompose and analyze three-dimensional surfaces. In this study, applications of wavelets decomposition are demonstrated in several automotive case studies, including abrupt tool breakage detection, chatter detection, cylinder head sealing/mating surface leak path detection, and transmission clutch piston surface nonclean up region detection. These case studies successfully demonstrate that the proposed multiple-scale two-channel wavelet decomposition method can be served as a useful tool for surface functions prediction and machining errors detection.