HUANG Wang-hua, WANG Qin-ruo, XU Wei-chao etc. Robust digital imaging Spearman's Rho correlation for pepper and salt noise[J]. Editorial Office of Optics and Precision Engineering, 2015,23(6): 1800-1806
HUANG Wang-hua, WANG Qin-ruo, XU Wei-chao etc. Robust digital imaging Spearman's Rho correlation for pepper and salt noise[J]. Editorial Office of Optics and Precision Engineering, 2015,23(6): 1800-1806 DOI: 10.3788/OPE.20152306.1800.
Robust digital imaging Spearman's Rho correlation for pepper and salt noise
When traditional digital image correlation technique is used to measure the deformation displacement
the digital image with very small amount of pepper and salt noise is difficult to be processed precisely. Therefore
this paper proposes a new digital image correlation method based on Spearman's rho(SR) correlation coefficient robust to pepper and salt noise. According to the SR's average statistic characteristics
the SR coefficient of bivariate Gaussian mixture model is mainly decided by the clean speckle image when the density of pepper and salt noise is small enough. To verify the robustness of the SR to pepper and salt noise
the controllable simulation speckle image is used in a simulation
and the SR correlation technology is used to calculate the scanning errors. The results indicate that it can still get the accurate displacement vector by the SR digital image correlation when the density of pepper and salt noise is less than 25% and the block size is 41 pixel41 pixel. The algorithm is used to calculate the laser-scanning texture data
and the sampling offset calculated is 4 m with the correlation coefficient of 0.996 6. The result shows that the SR digital image correlation technique has strong robustness
and is suitable for calculating the deformation displacement vector under the pepper and salt noise.
关键词
Keywords
references
YAMAGUCHI I. A laser-speckle strain gauge [J].Journal of Physics E: Scientific Instruments, 1981, 14(11): 1270-1273.
PETERS W H,RANSON W F. Digital imaging techniques in experimental stress analysis [J].Optical Engineering, 1982, 21(3): 213427-213427.
DAVIS C Q,FREEMAN D M. Statistics of subpixel registration algorithms based on spatiotemporal gradients or block matching [J].Optical Engineering, 1998, 37(4): 1290-1298.
ZHAO J, ZENG P, PAN B, et al.. Improved Hermite finite element smoothing method for full-field strain measurement over arbitrary region of interest in digital image correlation [J].Optics and Lasers in Engineering, 2012, 50(11): 1662-1671.
PAN B. Bias error reduction of digital image correlation using Gaussian pre-filtering [J].Optics and Lasers in Engineering, 2013, 51(10): 1161-1167.
PAN B, XIE H, GUO Z, et al.. Full-field strain measurement using a two-dimensional Savitzky-Golay digital differentiator in digital image correlation[J].Optical Engineering, 2007, 46(3): 033601-033601-10.
SUTTON M A, TURNER J L, BRUCK H A, et al.. Full-field representation of discretely sampled surface deformation for displacement and strain analysis [J].Experimental Mechanics, 1991, 31(2): 168-177.
PAN B, XIE H, WANG Z, et al.. Study on subset size selection in digital image correlation for speckle patterns [J].Optics Express, 2008, 16(10): 7037-7048.
PAN B, ASUNDI A, XIE H, et al.. Digital image correlation using iterative least squares and pointwise least squares for displacement field and strain field measurements[J].Optics and Lasers in Engineering, 2009, 47(7-8): 865-874.
ZHOU P,GOODSON K E. Subpixel displacement and deformation gradient measurement using digital image/speckle correlation (DISC) [J].Optical Engineering, 2001, 40(8): 1613-1620.
SUN Y,PANG J H L. Study of optimal subset size in digital image correlation of speckle pattern images [J].Optics and Lasers in Engineering, 2007, 45(9): 967-974.
YAO X, WU Z,JIN G. Wavelet denoising using the digital speckle correlation method [J].Journal-tsinghua University, 2001, 41(4/5): 108-111.
SHEVLYAKOV G L,VILCHEVSKI N O. Robustness in Data Analysis: Criteria and Methods [M]. Walter de Gruyter,2002.
XU W, HOU Y, HUNG Y S, et al.. A comparative analysis of Spearman's rho and Kendall's tau in normal and contaminated normal models[J]. Signal Processing, 2013, 93(1): 261-276.
MA R, XU W, WANG Q, et al.. Robustness analysis of three classical correlation coefficients under contaminated Gaussian model[J]. Signal Processing, 2014, 104: 51-58.
徐维超. 相关系数研究综述[J]. 广东工业大学学报, 2012,29(3):12-17. XU W CH. A review on correlation coefficients[J].Journal of Guangdong University of Technology, 2012, 29(3): 12-17.(in Chinese)
ZHOU Y Z,CHEN Y Q. Propagation function for accurate initialization and efficiency enhancement of digital image correlation[J].Optics and Lasers in Engineering, 2012, 50(12): 1789-1797.
周延周,刘运红,刘羽飞,等. 干涉法测量双层树脂材料内部的压缩位移场分布[J]. 光学 精密工程, 2014, 22(11):2923-2929. ZHOU Y ZH, LIU Y H, LIU Y F, et al.. Measurement of compresion displacement fields in dual layer epoxy composites by interferometry[J].Opt. Precision Eng., 2014, 22(11): 2923-2929.(in Chinese)