Accuracy enhancement of digital image correlation with B-spline interpolation

Long Luu; Zhaoyang Wang; Minh Vo; Thang Hoang; Jun Ma

doi:10.1364/OL.36.003070

Optics Letters
Vol. 36,
Issue 16,
pp. 3070-3072
(2011)
•https://doi.org/10.1364/OL.36.003070

Accuracy enhancement of digital image correlation with B-spline interpolation

Long Luu, Zhaoyang Wang, Minh Vo, Thang Hoang, and Jun Ma

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Long Luu, Zhaoyang Wang, Minh Vo, Thang Hoang, and Jun Ma, "Accuracy enhancement of digital image correlation with B-spline interpolation," Opt. Lett. 36, 3070-3072 (2011)

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Related Topics
Table of Contents Category
- Instrumentation, Measurement, and Metrology
Optics & Photonics Topics
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The topics in this list come from the Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Digital image processing (100.2000)
- Nondestructive testing (120.4290)
- Speckle interferometry, metrology (120.6165)
- Algorithms (150.1135)

About this Article
History
- Original Manuscript: May 19, 2011
- Revised Manuscript: July 12, 2011
- Manuscript Accepted: July 13, 2011
- Published: August 8, 2011

Abstract

The interpolation algorithm plays an essential role in the digital image correlation (DIC) technique for shape, deformation, and motion measurements with subpixel accuracies. At the present, little effort has been made to improve the interpolation methods used in DIC. In this Letter, a family of recursive interpolation schemes based on B-spline representation and its inverse gradient weighting version is employed to enhance the accuracy of DIC analysis. Theories are introduced, and simulation results are presented to illustrate the effectiveness of the method as compared with the common bicubic interpolation.

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	RMSE (Pixel)
Interpolation Algorithm	u	v
Bicubic	$1.881 \times 10^{- 3}$	$7.199 \times 10^{- 4}$
Cubic B-spline	$7.666 \times 10^{- 5}$	$4.933 \times 10^{- 5}$
Quartic B-spline	$2.093 \times 10^{- 5}$	$1.135 \times 10^{- 5}$
Modified cubic B-spline	$3.809 \times 10^{- 5}$	$3.399 \times 10^{- 5}$
Cubic O-MOMS	$3.759 \times 10^{- 5}$	$1.943 \times 10^{- 5}$
Quartic O-MOMS	$6.657 \times 10^{- 6}$	$5.719 \times 10^{- 6}$
Quintic B-spline	$1.062 \times 10^{- 5}$	$7.965 \times 10^{- 6}$

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