Error of the finite-element-based digital image correlation measurement method

WANG Yueqi; XIE Peiyue; LÜ Zhongrong; WANG Li

doi:10.11714/acta.snus.ZR20250221

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Error of the finite-element-based digital image correlation measurement method

Research articles | 更新时间：2026-05-22

- Error of the finite-element-based digital image correlation measurement method
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 65, Issue 3, Pages: 121-127(2026)
- 作者机构：
  
  中山大学航空航天学院，广东深圳 518107
- 作者简介：
- 基金信息：
- DOI：10.11714/acta.snus.ZR20250221
  CLC： O32
- Received：15 October 2025，
  
  Accepted：01 November 2025，
  
  Online First：23 January 2026，
  
  Published：25 May 2026
- 稿件说明：
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王越其,谢培悦,吕中荣等.基于有限元的数字图像相关方法的测量误差[J].中山大学学报(自然科学版)(中英文),2026,65(03):121-127.

WANG Yueqi,XIE Peiyue,LÜ Zhongrong,et al.Error of the finite-element-based digital image correlation measurement method[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(03):121-127.
王越其,谢培悦,吕中荣等.基于有限元的数字图像相关方法的测量误差[J].中山大学学报(自然科学版)(中英文),2026,65(03):121-127. DOI： 10.11714/acta.snus.ZR20250221.

WANG Yueqi,XIE Peiyue,LÜ Zhongrong,et al.Error of the finite-element-based digital image correlation measurement method[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2026,65(03):121-127. DOI： 10.11714/acta.snus.ZR20250221.

摘要

基于有限元的数字图像相关在非接触式全场变形测量领域应用广泛，网格尺寸、图像噪声、单元类型、真实位移场分布等因素均会对其测量精度产生显著影响。文中针对上述因素进行了理论分析，并设计数值测试算例，研究了上述因素对测量结果的影响。结果表明：存在使位移测量误差最小的最优网格尺寸，图像噪声幅值不仅直接影响测量精度，还会改变最优网格尺寸的取值；同时，高阶单元对位移场的描述能力更优，但其对图像噪声也更加敏感；此外，在复杂变形场中需采用小尺寸网格以精准捕捉局部变形信息。通过铝制板材单轴拉伸实验，验证了上述结论在实际应变测试中的有效性。

Abstract

Finite-element-based digital image correlation（FE-DIC） is widely used for non-contact， full-field deformation measurement. The accuracy of this method is substantially affected by several factors， including mesh size， image noise， element type， and the spatial complexity of the actual displacement field. In this study， both theoretical analyses and numerical simulations were conducted to systematically examine the influence of these factors on the measurement performance of FE-DIC. The results demonstrate the existence of an optimal mesh size that minimizes the displacement measurement error. The amplitude of image noise not only directly degrades the measurement accuracy but also shifts the optimal mesh size. Moreover， higher-order elements exhibit enhanced capability in representing complex displacement fields， albeit with increased sensitivity to image noise. In addition， fine meshes are required in regions with highly nonuniform deformation to accurately capture local deformation characteristics. A uniaxial tensile test on an aluminum plate was performed， validating the effectiveness of the obtained conclusions in practical strain measurements.

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references

BESNARD G ， HILD F ， ROUX S ， 2006 . “Finite-element” displacement fields analysis from digital images ［J］. Exp Mech ， 46 （ 6 ）： 789 - 803 .

BRENNER S C ， SCOTT L R ， 2008 . The mathematical theory of finite element methods ［M］. Cham ： Springer .

DOEBLING S W ， FARRAR C R ， PRIME M B ， 1998 . A summary review of vibration-based damage identification methods ［J］. Shock Vib Dig ， 30 （ 2 ）： 91 - 105 .

FARRAR C R ， WORDEN K ， 2007 . An introduction to structural health monitoring ［J］. Philos Trans A Math Phys Eng Sci ， 365 （ 1851 ）： 303 - 315 .

HILD F ， ROUX S ， 2006 . Digital image correlation： from displacement measurement to identification of elastic properties—A review ［J］. Strain ， 42 （ 2 ）： 69 - 80 .

HILD F ， ROUX S ， 2012 . Comparison of local and global approaches to digital image correlation ［J］. Exp Mech ， 52 （ 9 ）： 1503 - 1519 .

LECLERC H ， PÉRIÉ J N ， ROUX S ， et al ， 2009 . Integrated digital image correlation for the identification of mechanical properties ［C］// Computer Vision/Computer Graphics Collaboration Techniques . Berlin， Heidelberg ： Springer： 161 - 171 .

LU Y ， ZHU W ， 2024 . Convolution finite element based digital image correlation for displacement and strain measurements ［J］. Comput Meth Appl Mech Eng ， 419 ： 116597 .

MENDOZA A ， NEGGERS J ， HILD F ， et al ， 2019 . Complete mechanical regularization applied to digital image and volume correlation ［J］. Comput Meth Appl Mech Eng ， 355 ： 27 - 43 .

PAN B ， QIAN K ， XIE H ， et al ， 2009 . Two-dimensional digital image correlation for in-plane displacement and strain measurement： A review ［J］. Meas Sci Technol ， 20 （ 6 ）： 062001 .

PAN B ， WANG B ， LUBINEAU G ， 2016 . Comparison of subset-based local and FE-based global digital image correlation：Theoretical error analysis and validation ［J］. Opt Laser Eng ， 82 ： 148 - 158 .

RÉTHORÉ J ， HILD F ， ROUX S ， 2008 . Extended digital image correlation with crack shape optimization ［J］. Int J Numer Meth Eng ， 73 （ 2 ）： 248 - 272 .

REU P L ， BLAYSAT B ， ANDÓ E ， et al ， 2022 . DIC challenge 2.0： Developing images and guidelines for evaluating accuracy and resolution of 2D analyses ［J］. Exp Mech ， 62 （ 4 ）： 639 - 654 .

SCHREIER H W ， SUTTON M A ， 2002 . Systematic errors in digital image correlation due to undermatched subset shape functions ［J］. Exp Mech ， 42 （ 3 ）： 303 - 310 .

SUN Y ， PANG J H L ， 2007 . Study of optimal subset size in digital image correlation of speckle pattern images ［J］. Opt Laser Eng ， 45 （ 9 ）： 967 - 974 .

WANG B ， PAN B ， 2016 . Subset-based local vs finite element-based global digital image correlation： A comparison study ［J］. Theor Appl Mech Lett ， 6 （ 5 ）： 200 - 208 .

XU X ， SU Y ， ZHANG Q ， 2017 . Theoretical estimation of systematic errors in local deformation measurements using digital image correlation ［J］. Opt Laser Eng ， 88 ： 265 - 279 .

ZHAO J ， PAN B ， 2025 . Smart DIC： User-independent， accurate and precise DIC measurement with self-adaptively selected optimal calculation parameters ［J］. Mech Syst Signal Process ， 222 ： 111792 .

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