Research on temperature field measurement using Background-oriented schlieren based on hybrid Cross-correlation optical flow algorithm

LIU Yingling; LI Hu; GUAN Tingfeng; ZHU Haidong; JIAO Mengqian

您当前的位置：

首页 >

文章列表页 >

Research on temperature field measurement using Background-oriented schlieren based on hybrid Cross-correlation optical flow algorithm

Optical Sensing and Measurement | 更新时间：2026-01-05

- Research on temperature field measurement using Background-oriented schlieren based on hybrid Cross-correlation optical flow algorithm
- OPTICAL TECHNIQUE Vol. 51, Issue 6, Pages: 743-749(2025)
- 作者机构：
  
  1.桂林信息科技学院基础教研部，广西桂林 541199
  2.桂林信息科技学院机电工程学院，广西桂林 541199
  3.桂林电子科技大学机电工程学院，广西桂林 541004
- 作者简介：
- 基金信息：
- DOI：
  CLC： TB942
- Received：21 July 2025，
  
  Revised：2025-09-09，
  
  Published：20 November 2025
- 稿件说明：
移动端阅览
刘映伶,李虎,官廷锋等.基于混合互相关光流算法的背景定向纹影温度场测量研究[J].光学技术,2025,51(06):743-749.

LIU Yingling,LI Hu,GUAN Tingfeng,et al.Research on temperature field measurement using Background-oriented schlieren based on hybrid Cross-correlation optical flow algorithm[J].OPTICAL TECHNIQUE,2025,51(06):743-749.
刘映伶,李虎,官廷锋等.基于混合互相关光流算法的背景定向纹影温度场测量研究[J].光学技术,2025,51(06):743-749. DOI：

LIU Yingling,LI Hu,GUAN Tingfeng,et al.Research on temperature field measurement using Background-oriented schlieren based on hybrid Cross-correlation optical flow algorithm[J].OPTICAL TECHNIQUE,2025,51(06):743-749. DOI：

摘要

背景定向纹影是近年来出现的非侵入式全场光学测量技术，可用于温度场的定量测量。背景图像位移计算的精度直接决定着温度场重建的精度，但目前主流的混合光流算法的重建位移场精度不高。针对这一问题，提出了一种新的混合互相关光流算法，使用高斯径向基函数插值结合基于梯度恒定假设的光流算法对位移场进行细化。将该方法结合多尺度小波噪声背景图案对不同当量比的甲烷/空气层流预混火焰上方的温度场进行重建，与基于物理的光流算法和混合光流算法进行了比较，该方法具有较高精度和鲁棒性，而且在保持热流场的小散度和涡度结构等流动细节及减少异常值方面也更具有优势。重建的温度值与热电偶测量值的相对平均误差仅为2.7%，实验表明该方法可有效地重建高精度的温度场。

Abstract

Background

-Oriented Schlieren （BOS） is a non-intrusive

full-field optical measurement technique that has emerged in recent years for the quantitative measurement of temperature fields. The accuracy of background image displacement calculation is critical for the precision of temperature field reconstruction; however

the reconstruction displacement fields obtained by current mainstream hybrid optical flow algorithms lack sufficient accuracy. To address this limitation

a novel hybrid cross-correlation optical flow algorithm is proposed. This method refines the displacement field using Gaussian radial basis function interpolation combined with a gradient constancy assumption-based optical flow algorithm. The proposed approach

integrated with a multi-scale wavelet noise background pattern

was applied to reconstruct the temperature fields above laminar premixed methane/air flames at different equivalence ratios. Comparisons were made with physically based optical flow algorithms and existing hybrid optical flow algorithms. The results demonstrate that the proposed method offers superior accuracy and robustness. Furthermore

it exhibits significant advantages in preserving flow details inherent to thermal flow fields

such as small divergence and vorticity structures

while simultaneously reducing outliers. The relative mean error between the reconstructed temperature values and thermocouple measurements was as low as 2.7%. Experimental results confirm that this method effectively reconstructs high-precision temperature fields.

关键词

Keywords

references

Raffel M . Background-oriented schlieren （BOS） techniques [J ] . Experiments in Fluids , 2015 , 56 （ 3 ）: 1 — 17 .

熊渊 . 背景纹影测量技术研究与应用进展 [J ] . 实验流体力学 , 2022 , 36 （ 02 ）: 30 — 48 .

Xiong Yuan . Recent advances in background oriented Schlieren and its applications [J ] . Journal of Experiments in Fluid Mechanics , 2022 , 36 （ 2 ）: 30 — 48 .

Wernrt M P . Real-time background oriented schlieren with self-illuminated speckle background [J ] . Measurement Science and Technology , 2020 , 31 （ 1 ）: 1 — 13 .

Jia T , Li J , Wu J , et al . Tomographic Background-oriented schlieren for axisymmetric and weakly Non-axisymmetric supersonic jets [J ] . Symmetry , 2024 , 16 （ 5 ）: 596 .

Zhou T , Gaskins J , Pogie J , et al . Comparison of displacement estimation techniques for background-oriented schlieren of high-speed compressible turbulent flows [J ] . Exp Fluids , 2025 , 27 （ 66 ）: 24 — 39 .

Wei H , Yue Z , Xuanye L , et al . Background-oriented schlieren measurements for asymmetrical laminar flames along arbitrary rays from a single view [J ] . Experiments in Fluids , 2023 , 64 （ 8 ）: 23 — 36 .

Hirayama Y , Ogaya S . Axisymmetric background-oriented schlieren measurement for cylindrical combustion flow in micro-rocket torches [J ] . Physics of Fluids , 2025 , 42 （ 64 ）: 9 — 19 .

张建 , 张征宇 , 杨洋 , 等 . BOS测量密度场的泊松方程源项快速计算方法 [J ] . 航空学报 , 2025 , 46 （ 17 ）: 131713 .

Zhang Jian , Zhang Zhengyu , Yang Yang , et al . A fast calculation method for the source term of the poisson equation in Background-oriented schlieren density field measurements [J ] . Acta Aeronautica et Astronautica Sinica , 2025 , 46 （ 17 ）: 131713 .

魏祥智 , 史经纬 , 周莉 , 等 . 基于BOST的超声速喷流三维密度场重构方法与实验研究 [J ] . 航空动力学报 , 2025 , 22 （ 04 ）: 1 — 13 .

Wei Xiangzhi , Shi Jingwei , Zhou Li , et al . Experimental investigation of three-dimensional density field reconstruction in supersonic jets based on BOST methodology [J ] . Journal of Aerospace Power , 2025 , 22 （ 04 ）: 1 — 13 .

于之靖 , 李雁玲 , 郑建文 , 等 . 采用纹影法的微型航空发动机尾喷温度场测量方法 [J ] . 光学技术 , 2020 , 46 （ 04 ）: 420 — 426 .

Yu Zhijing , Li Yanling , Zheng Jianwen , et al . The temperature field measurement method by using schlieren method for micro aero-engine [J ] . Optical Technology , 2020 , 46 （ 04 ）: 420 — 426 .

Hu W , Zhang Y , Liang X , et al . Background-oriented schlieren measurements for asymmetrical laminar flames along arbitrary rays from a single view [J ] . Exp Fluids 2023 , 64 ,（ 145 ）: 49 — 58 .

吴军 , 王小宇 , 唐源鸿 , 等 . 基于双目背景纹影法的轴对称温度场自适应重构方法研究 [J ] . 仪器仪表学报 , 2024 , 45 （ 10 ）: 168 — 177 .

Wu Jun , Wang Xiaoyu , Tang Yuanhong , et al . Study on the adaptive reconstruction method of axisymmetric temperature field based on binocular background oriented Schlieren method [J ] . Chinese Journal of Scientific Instrument , 2024 , 45 （ 10 ）: 168 — 177 .

Singh B , Rajendran L K , Zhang J , et al . Vortex rings drive entrainment and cooling in flow induced by a spark discharge [J ] . Physical Review Fluids , 2020 , 5 （ 11 ）: 114501 .

Li H , Chen X , Wu M , et al . Quantitative measurement of natural thermal convection temperature field based on color stripe background oriented schlieren （CSBOS） [J ] . Experimental Thermal and Fluid Science , 2023 , 5 （ 140 ）: 16 — 27 .

Wang Q , Wu Y , Cheng H T , et al . A schlieren motion estimation method for seedless velocimetry measurement [J ] . Experimental Thermal and Fluid Science , 2019 , 6 （ 109 ）: 10 — 18 .

杨慎林 , 赵磊 , 王赫卿 , 等 . 基于光流的火焰羽流纹影测速算法 [J ] . 清华大学学报（自然科学版） , 2025 , 65 （ 06 ）: 1153 — 1160 .

Yang Shenlin , Zhao Lei , Wang Heqing , et al . Optical flow-based velocimetry algorithm for schlieren images of flame plume [J ] . Journal of Tsinghua University （Science and Technology） , 2025 , 65 （ 06 ）: 1153 — 1160 .

Liu T , Shen L . Fluid flow and optical flow [J ] . Journal of Fluid Mechanics , 2008 , 6 （ 14 ）: 253 — 291 .

Liu T , Salazar D M , Fagehi H , et al . Hybrid Optical-flow-cross-correlation method for particle image velocimetry [J ] . Journal of Fluids Engineering-transactions of The Asme , 2020 , 142 （ 5 ）: 054501 .

高磊 , 许东 , 等 . 基于背景纹影技术的随机介质折射率场测量 [J ] . 航空动力学报 , 2017 , 32 （ 11 ）: 2653 — 2658 .

Gao Lei , Xu Dong . Refractive index field measurement of random medium based on background oriented schlieren [J ] . Journal of Aerospace Power , 2017 , 32 （ 11 ）: 2653 — 2658 .

Qin X , Xiao X D . Effect of varying composition on temperature reconstructions obtained from refractive index measurements in flames [J ] . Combustion and Flame , 2022 , 12 （ 8 ）: 121 — 132 .

Zhong Q , Yang H , Yin Z . An optical flow algorithm based on gradient constancy assumption for PIV image processing [J ] . Measurement Science and Technology , 2017 , 28 （ 5 ）: 055208 .

Brox T , Bruhn A , Papenberg N , et al . High accuracy optical flow estimation based on a theory for warping [J ] . Lect Notes Comput Sc , 2004 , 2034 : 25 — 36 .

Horn B K P S B G . Determining optical flow [J ] . Artificial Intelligence , 1981 , 17 （ 1–3 ）: 185 - 203 .

熊俊哲 , 孔明 , 洪波 , 等 . 径向基函数插值互相关光流算法粒子图像测速技术 [J ] . 中国激光 , 2023 , 50 （ 06 ）: 55 — 64 .

Xiong Junzhe , Kong Ming , Hong Bo , et al . Particle image velocimetry using cross correlation optical flow algorithm based on radial basis function interpolation [J ] . Chinese Journal of Lasers , 2023 , 50 （ 06 ）: 55 — 64 .

Guo G M , Liu H . Density and temperature reconstruction of a flame-induced distorted flow field based on background-oriented schlieren （BOS） technique [J ] . Chinese Physics B , 2017 , 26 （ 6 ）: 064701 .

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Finite element analysis of three-dimensional transient temperature field evolution of aluminum alloy laser cladding

Icing type classification via Near-infrared spectral irradiance and deep convolutional neural networks

Optimization and application of microspectroscopic fitting method in micro-region thin film characterization

OAM mode recognition system of vortex beams based on deep learning and FPGA

Three-dimensional shape measurement of highly reflective objects based on adjusted projection intensity

Related Author

ZHANG Chunling

JIANG Yongxia

CHENG Yulu

LI Long

YU Tianxi

GUO Runxia

CHEN Jiusheng

LIU Guihang

Related Institution

Faculty of Science, Xi'an University of Architecture and Technology

Institute of Applied Physics, Xi'an University of Architecture and Technology

School of Aeronautical Engineering, Civil Aviation University of China

School of Electronic Information and Automation, Civil Aviation University of China

Engineering and Technical Training Center, Civil Aviation University of China

⁰