Abstract

In digital image correlation (DIC), to obtain the displacements of each point of interest, a correlation criterion must be predefined to evaluate the similarity between the reference subset and the target subset. The correlation criterion is of fundamental importance in DIC, and various correlation criteria have been designed and used in literature. However, little research has been carried out to investigate their relations. In this paper, we first provide a comprehensive overview of various correlation criteria used in DIC. Then we focus on three robust and most widely used correlation criteria, i.e., a zero-mean normalized cross-correlation (ZNCC) criterion, a zero-mean normalized sum of squared difference (ZNSSD) criterion, and a parametric sum of squared difference (${\mathrm{PSSD}}_{ab}$) criterion with two additional unknown parameters, since they are insensitive to the scale and offset changes of the target subset intensity and have been highly recommended for practical use in literature. The three correlation criteria are analyzed to establish their transversal relationships, and the theoretical analyses clearly indicate that the three correlation criteria are actually equivalent, which elegantly unifies these correlation criteria for pattern matching. Finally, the equivalence of these correlation criteria is further validated by numerical simulation and actual experiment.

© 2010 Optical Society of America

Genuine full-field deformation measurement of an object with complex shape using reliability-guided digital image correlation

Bing Pan, Zhaoyang Wang, and Zixing Lu
Opt. Express 18(2) 1011-1023 (2010)

Study on subset size selection in digital image correlation for speckle patterns

Bing Pan, Huimin Xie, Zhaoyang Wang, Kemao Qian, and Zhiyong Wang
Opt. Express 16(10) 7037-7048 (2008)

Reliability-guided digital image correlation for image deformation measurement

Bing Pan
Appl. Opt. 48(8) 1535-1542 (2009)

Performances of different subset shapes and control points in subset-based digital image correlation and their applications in boundary deformation measurement

Ronghua Zhu, Huimin Xie, Zhenxing Hu, Lebin Jiang, Baoqiao Guo, and Chuanwei Li
Appl. Opt. 54(6) 1290-1301 (2015)

Optimized digital speckle patterns for digital image correlation by consideration of both accuracy and efficiency

Zhenning Chen, Xinxing Shao, Xiangyang Xu, and Xiaoyuan He
Appl. Opt. 57(4) 884-893 (2018)