北京航空航天大学学报 ›› 2017, Vol. 43 ›› Issue (11): 2322-2330.doi: 10.13700/j.bh.1001-5965.2017.0068

• 成像测量 • 上一篇    下一篇

聚焦光场成像三维粒子场重建方法

曹丽霞, 张彪, 宋祥磊, 许传龙, 王式民   

  1. 东南大学 能源与环境学院 能源热转换及其过程测控教育部重点实验室, 南京 210096
  • 收稿日期:2017-02-15 修回日期:2017-06-16 出版日期:2017-11-20 发布日期:2017-09-18
  • 通讯作者: 许传龙 E-mail:chuanlongxu@seu.edu.cn
  • 作者简介:曹丽霞,女,博士研究生。主要研究方向:层析成像及流体可视化;许传龙,男,博士,教授,博士生导师。主要研究方向:多相流测试、燃烧诊断技术。
  • 基金资助:
    国家自然科学基金(51676044,51506030,51327803);江苏省自然科学基金杰出青年基金(BK20150023)

Reconstruction method of three-dimensional particle field based on focused light field imaging

CAO Lixia, ZHANG Biao, SONG Xianglei, XU Chuanlong, WANG Shimin   

  1. Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China
  • Received:2017-02-15 Revised:2017-06-16 Online:2017-11-20 Published:2017-09-18
  • Supported by:
    National Natural Science Foundation of China (51676044, 51506030, 51327803); Natural Science Foundation of Jiangsu Province for Distinguished Young Scholars (BK20150023)

摘要: 层析重建是层析粒子图像测速(Tomo-PIV)技术实现三维粒子位置和强度信息(三维粒子场)重构的核心步骤。相比于多相机的Tomo-PIV技术,单聚焦光场相机通过一次成像能够同时采集示踪粒子的散射光的方向和位置信息。因此,提出一种单聚焦光场相机的层析重建技术用于重构流场中的三维粒子场信息。为了验证本文方法的可行性及准确性,利用几何光学建立了示踪粒子的光场成像模型,利用光线追迹技术计算了粒子在聚焦光场相机中的成像,对比了被测流场中位于不同深度位置的粒子在聚焦光场相机中的成像差异;建立了基于单聚焦光场相机的层析重建数学模型,利用乘法代数重构技术(MART)对模拟所得的光场图像进行反演计算,实现了三维粒子场的重构,并利用归一化互相关系数来表征粒子的重建质量。结果表明,单个粒子在Z轴方向上的位置精度为±0.35 mm,初步证明了基于聚焦光场成像理论的三维粒子场重建方法的可行性。

关键词: 层析重建, 粒子图像测速, 光场成像, 光场相机, 光线追迹

Abstract: Tomographic reconstruction is the core step of tomographic particle image velocimetry (Tomo-PIV) technology to realize the reconstruction of three-dimensional position and intensity information of particles (3D particle field). Compared to the Tomo-PIV based on the multiple conventional cameras, a single focused light field camera can simultaneously record the direction and position information of the scattered light produced by tracer particles. In this paper, a tomographic reconstruction technique based on a single focused light field camera is proposed to reconstruct the three-dimensional position and intensity information of the particles. To verify the feasibility and accuracy of the proposed method, the light field imaging model of the tracer particles is established by the geometrical optics. The imaging of the particle in the focused light field camera is simulated by ray tracing technique. The light field imaging differences of the tracer particles in different depth positions are compared. The tomographic reconstruction based on single focused light field camera is mathematically modeled. A multiplicative algebraic reconstruction technique (MART) is used to reconstruct the 3D particle field by retrieving the simulated light field image. Reconstruction quality of multiple particles is characterized by the normalized correlation coefficient. The reconstruction results show that the position accuracy of a single particle in the Z axis direction is ±0.35 mm, which validates the feasibility of the 3D particle field reconstruction method based on focused light field imaging theory.

Key words: tomographic reconstruction, particle image velocimetry, light field imaging, light field camera, ray tracing

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