Bi-dimensional Variational Mode Decomposition for Surface Texture Analysis

Zhuowei Li, Yuanping Xu, Tukun Li, Yajing Shi, Jane Jiang, Yanglong Cao, Wenhan Zeng, Zhijie Xu, Chaolong Zhang, Jian Huang

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)


In surface metrology, filtration is one of the key operations which is used to decompose the components of the surface and extract a scale-limited surface for further assessment. Although many types of filters have been proposed and some of them have been standardized in ISO16610 serials, the classic surface topography filters often inherit the mode mixing and boundary distortion problems that may lead to surface texture verification failures. This study proposes a new filter algorithm for the surface texture analysis, and it is based on the extended bi-dimensional variational mode decomposition (BVMD), named EBVMD. BVMD is widely used in the field of image processing and it is probably first-time to be used in the field of surface texture analysis. It consists of three steps. Firstly, a coarse-grained parallel genetic algorithm is applied in the devised model to select of optimal penalty factor and decomposition number of the bi-dimensional variational mode, and the best set of modes is gained. Secondly, the instantaneous wavelength value of each mode is obtained by calculating the corresponding isotropic monogenic signals. Finally, the scale-limited surface is extracted by the mean instantaneous wavelength. Experiments are conducted to verify the feasibility of the proposed filter on areal surface texture feature extraction with the mode aliasing and shape distortion phenomenon remedies. The experimental results show that the mean square error of roughness reconstructed by the proposed filter compared with the benchmarking values is 6.37×10-5, and owing to high flexibility in practice, the devised EBVMD provides a promising solution to achieve a high accuracy and efficiency filter.
Original languageEnglish
Pages (from-to)36-41
Number of pages6
JournalProcedia CIRP
Publication statusPublished - 31 Oct 2022
Event17th CIRP Conference on Computer Aided Tolerancing - Arts et Métiers, Metz, France
Duration: 15 Jun 202217 Jun 2022
Conference number: 17


Dive into the research topics of 'Bi-dimensional Variational Mode Decomposition for Surface Texture Analysis'. Together they form a unique fingerprint.

Cite this