A novel speckle pattern—Adaptive digital image correlation approach with robust strain calculation

Abstract Digital image correlation (DIC) has seen widespread acceptance and usage as a non-contact method for the determination of full-field displacements and strains in experimental mechanics. The advances of imaging hardware in the last decades led to high resolution and speed cameras being more affordable than in the past making large amounts of data image available for typical DIC experimental scenarios. The work presented in this paper is aimed at maximizing both the accuracy and speed of DIC methods when employed with such images. A low-level framework for speckle image partitioning which replaces regularly shaped blocks with image-adaptive cells in the displacement calculation is introduced. The Newton–Raphson DIC method is modified to use the image pixels of the cells and to perform adaptive regularization to increase the spatial consistency of the displacements. Furthermore, a novel robust framework for strain calculation based also on the Newton–Raphson algorithm is introduced. The proposed methods are evaluated in five experimental scenarios, out of which four use numerically deformed images and one uses real experimental data. Results indicate that, as the desired strain density increases, significant computational gains can be obtained while maintaining or improving accuracy and rigid-body rotation sensitivity.

[1]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[2]  Weiqi Jin,et al.  A subpixel motion estimation algorithm based on digital correlation for illumination variant and noise image sequences , 2009 .

[3]  Michael J. Black,et al.  The Robust Estimation of Multiple Motions: Parametric and Piecewise-Smooth Flow Fields , 1996, Comput. Vis. Image Underst..

[4]  Franccois Hild,et al.  Digital Image Correlation: from Displacement Measurement to Identification of Elastic Properties – a Review , 2006 .

[5]  Jinlong Chen,et al.  Deformation measurement across crack using two-step extended digital image correlation method , 2010 .

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

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

[8]  Wilfried Philips,et al.  Evaluation of digital image correlation techniques using realistic ground truth speckle images , 2010 .

[9]  Hugh Alan Bruck,et al.  Digital image correlation using Newton-Raphson method of partial differential correction , 1989 .

[10]  Ming Ye,et al.  Estimating Piecewise-Smooth Optical Flow with Global Matching and Graduated Optimization , 2003, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Jun Zhang,et al.  Application of an improved subpixel registration algorithm on digital speckle correlation measurement , 2003 .

[12]  G. Vendroux,et al.  Submicron deformation field measurements: Part 2. Improved digital image correlation , 1998 .

[13]  Roberto Longo,et al.  A digital image correlation method for fatigue test experiments , 2009 .

[14]  H. Lu,et al.  Deformation measurements by digital image correlation: Implementation of a second-order displacement gradient , 2000 .

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

[16]  J. F. Cárdenas-García,et al.  Catalogue of moiré fringes for a bi-axially-loaded infinite plate with a hole , 1999 .

[17]  Andrew Blake,et al.  Visual Reconstruction , 1987, Deep Learning for EEG-Based Brain–Computer Interfaces.

[18]  Huimin Xie,et al.  Mean intensity gradient: An effective global parameter for quality assessment of the speckle patterns used in digital image correlation , 2010 .

[19]  Zhaoyang Wang,et al.  Genuine full-field deformation measurement of an object with complex shape using reliability-guided digital image correlation. , 2010, Optics express.

[20]  J. Weickert,et al.  Lucas/Kanade meets Horn/Schunck: combining local and global optic flow methods , 2005 .

[21]  D J Chen,et al.  Digital speckle-displacement measurement using a complex spectrum method. , 1993, Applied optics.

[22]  Joachim Weickert,et al.  Variational Optic Flow Computation with a Spatio-Temporal Smoothness Constraint , 2001, Journal of Mathematical Imaging and Vision.

[23]  Jun Zhang,et al.  On the use of the digital image correlation method for heterogeneous deformation measurement of porous solids , 2011 .

[24]  Shang-Hong Lai,et al.  Accurate optical flow computation under non-uniform brightness variations , 2005, Comput. Vis. Image Underst..

[25]  Jong Dae Kim,et al.  Effective nonlinear approach for optical flow estimation , 2001, Signal Process..

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

[27]  Dimitri Debruyne,et al.  Assessment of measuring errors in DIC using deformation fields generated by plastic FEA , 2009 .

[28]  Dimitri Debruyne,et al.  Study of systematic errors in strain fields obtained via DIC using heterogeneous deformation generated by plastic FEA , 2010 .

[29]  M. Sutton,et al.  Full-field speckle pattern image correlation with B-Spline deformation function , 2002 .

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

[31]  Wilfried Philips,et al.  Adaptive partitioning method in high resolution speckle imagery for sub-pixel digital image correlation , 2010, 2010 IEEE International Conference on Image Processing.

[32]  M. Sutton,et al.  Systematic errors in digital image correlation due to undermatched subset shape functions , 2002 .

[33]  M. Grédiac,et al.  Assessment of Digital Image Correlation Measurement Errors: Methodology and Results , 2009 .

[34]  W. Peters,et al.  Digital Imaging Techniques In Experimental Stress Analysis , 1982 .

[35]  W. F. Ranson,et al.  Applications of digital-image-correlation techniques to experimental mechanics , 1985 .

[36]  Xie Huimin,et al.  Performance of sub-pixel registration algorithms in digital image correlation , 2006 .

[37]  François Hild,et al.  A space–time approach in digital image correlation: Movie-DIC , 2011 .

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

[39]  Wilfried Philips,et al.  Improved Newton-Raphson digital image correlation method for full-field displacement and strain calculation. , 2010, Applied optics.