A Comparative Study of Techniques of Distant Reconstruction of Displacement Fields by using DISTRESS Simulator

Abstract Reconstruction and monitoring of displacement and strain fields is an important problem in engineering. We analyze the remote and non-obtrusive method of Digital Image Correlation (DIC) in 2D based on photogrammetry. The method involves covering the photographed surface with a pattern of speckles and comparing the images taken before and after the deformation. The analysis is based on a specially developed Digital Image Synthesizer To Reconstruct Strain in Solids (DISTRESS) Simulator to generate synthetic images of displacement and stress fields in two dimensions in order to investigate the intrinsic accuracy of the existing variants of DIC. We investigated the Basic DIC and a commercial software VIC 2d, both based on displacement field reconstruction with post processing strain determination based on numerical differentiation. We also investigated what we call the Extended DIC where the strain field is determined independently of the displacement field. While the Basic DIC is faster, the Extended DIC delivers the best accuracy. The speckle pattern is found to be playing a critical role in achieving high accuracy for DIC. Increase in the subset size for DIC does not significantly improves the accuracy, while the smallest subset size depends on the speckle pattern and speckle size. Increase in the overall image size provides more details but does not play significant role in improving the accuracy, while significantly increasing the computation cost. We observed that it is not reliable to measure very small strains using grayscale images in DIC. Thus, we propose Color DIC using color images and found that it improves the accuracy in measuring small strains.

[1]  Zhaoyang Wang,et al.  Generalized spatial-gradient-based digital image correlation for displacement and shape measurement with subpixel accuracy , 2009 .

[2]  Shaopeng Ma,et al.  Mesh-based digital image correlation method using higher order isoparametric elements , 2012 .

[3]  Cara MacNish,et al.  Digital image correlation for small strain measurement in deformable solids and geomechanical structures , 2015, 2015 IEEE International Conference on Image Processing (ICIP).

[4]  MaShaopeng,et al.  DIGITAL SPECKLE CORRELATION METHOD IMPROVED BY GENETIC ALGORITHM , 2003 .

[5]  Xiao-yong Liu,et al.  Study on Digital Image Correlation Using Artificial Neural Networks for Subpixel Displacement Measurement , 2010 .

[6]  Malcolm D. Bolton,et al.  A deformation measurement system for geotechnical testing based on digital imaging, close-range photogrammetry, and PIV image analysis , 2001 .

[7]  Michael A. Sutton,et al.  Digital Image Correlation for Shape and Deformation Measurements , 2008 .

[8]  Milan Sonka,et al.  Image Processing, Analysis and Machine Vision , 1993, Springer US.

[9]  J. W. Foreman,et al.  MEASUREMENT OF LOCALIZED FLOW VELOCITIES IN GASES WITH A LASER DOPPLER FLOWMETER , 1965 .

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

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

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

[13]  Soren W. Henriksen,et al.  Manual of photogrammetry , 1980 .

[14]  M. Sutton,et al.  Application Of Digital Correlation Methods To Rigid Body Mechanics , 1983 .

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

[16]  D B Barker,et al.  Measuring fluid velocities with speckle patterns. , 1977, Optics letters.

[17]  Ajay Mahajan,et al.  Measurement of Whole-Field Surface Displacements and Strain Using a Genetic Algorithm Based Intelligent Image Correlation Method , 2004 .

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

[19]  Gioacchino Viggiani,et al.  Discrete and continuum analysis of localised deformation in sand using X-ray mu CT and volumetric digital image correlation , 2010 .

[20]  Javier Gonzalez-Sanchez,et al.  Three-Dimensional Visualisation of the Tectonic movement over Mexico by means of the Global Positioning System (GPS) measurements , 2011 .

[21]  Agya Mishra,et al.  Color Image Enhancement Techniques: A Critical Review , 2012 .

[22]  A. Gruen ADAPTIVE LEAST SQUARES CORRELATION: A POWERFUL IMAGE MATCHING TECHNIQUE , 1985 .

[23]  Xiaoqi Li,et al.  A novel coarse-fine search scheme for digital image correlation method , 2006 .

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

[25]  R. Butterfield,et al.  A Stero-Photogrammetric Method for Measuring Displacement Fields , 1970 .

[26]  Juan R. Rabuñal,et al.  Optical Analysis of Strength Tests Based on Block‐Matching Techniques , 2012, Comput. Aided Civ. Infrastructure Eng..

[27]  Juan R. Rabuñal,et al.  Study of Strength Tests with Computer Vision Techniques , 2011, IWINAC.

[28]  W. A. Take,et al.  Soil deformation measurement using particle image velocimetry (PIV) and photogrammetry , 2003 .

[29]  Mark Randolph,et al.  An image-based deformation measurement system for the geotechnical centrifuge , 2005 .

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

[31]  A. Kääb,et al.  Sub-pixel precision image matching for measuring surface displacements on mass movements using normalized cross-correlation , 2011 .

[32]  Phillip L. Reu,et al.  Experimental and Numerical Methods for Exact Subpixel Shifting , 2011 .

[33]  Liqun Tang,et al.  Systematic errors in two-dimensional digital image correlation due to lens distortion , 2013 .

[34]  T. C. Chu,et al.  Three-dimensional displacement measurements using digital image correlation and photogrammic analysis , 1990 .

[35]  M. A. Sutton,et al.  Accurate measurement of three-dimensional deformations in deformable and rigid bodies using computer vision , 1993 .

[36]  Liping Liu THEORY OF ELASTICITY , 2012 .

[37]  H. Haddadi,et al.  Use of rigid-body motion for the investigation and estimation of the measurement errors related to digital image correlation technique , 2008 .

[38]  Andrew Zisserman,et al.  New Techniques for Automated Architectural Reconstruction from Photographs , 2002, ECCV.

[39]  Yilan Kang,et al.  Improved digital speckle correlation method and its application in fracture analysis of metallic foil , 2002 .

[40]  Sandro Barone,et al.  Grid pattern for in-plane strain measurements by digital image processing , 2001 .

[41]  Abdul Bais,et al.  Efficient Implementation of Image Registration Based on Feature Tracking , 2010, 2010 6th International Conference on Wireless Communications Networking and Mobile Computing (WiCOM).

[42]  Michael A. Sutton,et al.  The effect of out-of-plane motion on 2D and 3D digital image correlation measurements , 2008 .

[43]  Neil A. Hoult,et al.  Experimental accuracy of two dimensional strain measurements using Digital Image Correlation , 2013 .

[44]  Lianxiang Yang,et al.  High temperature displacement and strain measurement using a monochromatic light illuminated stereo digital image correlation system , 2012 .

[45]  S. Roux,et al.  Digital image correlation and fracture: an advanced technique for estimating stress intensity factors of 2D and 3D cracks , 2009 .

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

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

[48]  Yeong-Ho Ha,et al.  Robust subpixel shift estimation using iterative phase correlation of a local region , 2009, Electronic Imaging.

[49]  Tyler Andrews,et al.  Computation Time Comparison Between Matlab and C++ Using Launch Windows , 2012 .

[50]  S. Roux,et al.  Analysis of image series through global digital image correlation , 2012 .

[51]  Amy L. Rechenmacher,et al.  Characterization of mesoscale instabilities in localized granular shear using digital image correlation , 2011 .

[52]  Hubert W. Schreier,et al.  Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts,Theory and Applications , 2009 .

[53]  Timothy J. Miller,et al.  The application of high-speed digital image correlation , 2008 .

[54]  Dennis M. Healy,et al.  Interpolation Artifacts in Sub-Pixel Image Registration , 2009, IEEE Transactions on Image Processing.

[55]  Shaopeng Ma,et al.  The systematic error in digital image correlation induced by self-heating of a digital camera , 2012 .

[56]  S. Roux,et al.  Mechanics-aided digital image correlation , 2013 .

[57]  M. A. Sutton,et al.  Systematic errors in digital image correlation caused by intensity interpolation , 2000 .

[58]  Francois Barthelat,et al.  A Novel “Subset Splitting” Procedure for Digital Image Correlation on Discontinuous Displacement Fields , 2010 .

[59]  Nick J. McCormick,et al.  Digital image correlation for structural measurements , 2012 .

[60]  Huimin Xie,et al.  Full-field strain measurement using a two-dimensional Savitzky-Golay digital differentiator in digital image correlation , 2007 .

[61]  Toshio Honda,et al.  Color image correlation , 1987 .

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

[63]  R. Butterfield,et al.  The measurement of planar displacements of sand grains , 1973 .

[64]  Lisa M. Brown,et al.  A survey of image registration techniques , 1992, CSUR.

[65]  Yuh J. Chao,et al.  Advances in Two-Dimensional and Three-Dimensional Computer Vision , 2000 .

[66]  M Pitter,et al.  Subpixel microscopic deformation analysis using correlation and artificial neural networks. , 2001, Optics express.

[67]  Pascal Doumalin,et al.  Strain Measurement by Digital Image Correlation: Influence of Two Types of Speckle Patterns Made from Rigid or Deformable Marks , 2012 .

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

[69]  Kai Li,et al.  A fast digital image correlation method for deformation measurement , 2011 .

[70]  John Tyson,et al.  Optical 3D Deformation and Strain Measurement , 2011 .

[71]  Pengwan Chen,et al.  Evaluation of the quality of a speckle pattern in the digital image correlation method by mean subset fluctuation , 2011 .

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

[73]  W. Tong An Evaluation of Digital Image Correlation Criteria for Strain Mapping Applications , 2005 .

[74]  R. Adrian,et al.  Image shifting technique to resolve directional ambiguity in double-pulsed velocimetry , 1986 .