A Self-Adaptive Selection of Subset Size Method in Digital Image Correlation Based on Shannon Entropy

Digital image correlation (DIC) is a typical non-contact full-field deformation parameters measurement technique based on image processing technology and numerical computation methods. To obtain the displacements of each point of interrogation in DIC, subsets surrounding the point must be chosen in the reference image and deformed image before correlating. In the existing DIC techniques, the size of subset is always pre-defined by users manually according to their experiences. However, the subset size has proven to be a critical parameter for the accuracy of computed displacements. In the present paper, a self-adaptive selection of subset size method based on Shannon entropy is proposed to overcome the deficiency of existing DIC methods. To verify the effectiveness and accuracy of the proposed algorithm, a numerical translated test is performed on four actual speckle patterns with different entropies, and then another test is performed on four computer-generated speckle patterns with non-uniform displacement field. All the results successfully demonstrate that the proposed algorithm can significantly improve displacement measurement accuracy without reducing too much computational efficiency. Finally, a practical application of the proposed algorithm to micro-tensile of Q235 steel is conducted.

[1]  G. Stoilov,et al.  A Comparative Study of Random Patterns for Digital Image Correlation , 2012 .

[2]  Jing Fang,et al.  Digital Image Correlation with Self-Adaptive Gaussian Windows , 2013 .

[3]  Xuejin Liu,et al.  Spatial-temporal subset based digital image correlation considering the temporal continuity of deformation , 2017 .

[4]  Peng Zhou,et al.  Subpixel displacement and deformation gradient measurement using digital image/speckle correlation (DISC) , 2001 .

[5]  Cheng Guo,et al.  Three-dimensional digital image correlation system for deformation measurement in experimental mechanics , 2010 .

[6]  A. Asundi,et al.  Digital image correlation using iterative least squares and pointwise least squares for displacement field and strain field measurements , 2009 .

[8]  W. F. Ranson,et al.  Determination of displacements using an improved digital correlation method , 1983, Image Vis. Comput..

[9]  Kyoungsoo Park,et al.  Assessment of speckle-pattern quality in digital image correlation based on gray intensity and speckle morphology , 2017 .

[10]  Anand Asundi,et al.  Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review , 2009 .

[11]  Stepan Vladimirovitch Lomov,et al.  A Self Adaptive Global Digital Image Correlation Algorithm , 2014, Experimental Mechanics.

[12]  Bing Pan,et al.  Some practical considerations in finite element-based digital image correlation , 2015 .

[13]  Lei Xiong,et al.  Performance of iterative gradient-based algorithms with different intensity change models in digital image correlation , 2012 .

[14]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[15]  Sven Bossuyt,et al.  Quality assessment of speckle patterns for digital image correlation , 2006 .

[16]  Kefei Lu,et al.  Quality assessment of laser speckle patterns for digital image correlation by a Multi-Factor Fusion Index , 2020 .

[17]  Hongwei Zhao,et al.  Quality assessment of speckle patterns for digital image correlation by Shannon entropy , 2015 .

[18]  K. Qian,et al.  Study on subset size selection in digital image correlation for speckle patterns. , 2008, Optics express.

[19]  Sun Yaofeng,et al.  Study of optimal subset size in digital image correlation of speckle pattern images , 2007 .

[20]  Zhaoyang Wang,et al.  Equivalence of digital image correlation criteria for pattern matching. , 2010, Applied optics.

[21]  Guangyan Liu,et al.  High accuracy measurement of heterogeneous deformation field using spatial-temporal subset digital image correlation , 2020 .

[22]  Min Wang,et al.  A weighting window applied to the digital image correlation method , 2009 .