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Development of a direct-mapping tomography method to solve confined space problems with enhanced calculation efficiency

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Abstract

This work reports an improved tomography method to solve three-dimensional (3D) reconstructions in confined space with enhanced calculation efficiency and accuracy compared to other similar approaches. Confined-space tomography methods are designed to correct the image distortion on recorded target images caused by light refraction through optical walls, such as optical engine cylinders. However, past confined space tomography methods have shortcomings in reconstruction accuracy and time efficiency, since they usually involve time-consuming iterations or numerical interpolation during calculating the mapping relationship from 3D measurement domain to 2D imaging planes. Therefore, based on the improvement and innovation of our existing confined space tomography methods, the present method developed in this work directly calculates the mapping relationship by performing reverse ray-tracings originated from imaging planes, then decides the intersection volumes with the discretized measurement domain. Numerical and experimental demonstrations of present method are, respectively, performed based on multiple simulated phantoms and a two-branch laminar flame contained inside an optical cylinder. Compared to past confined space tomography algorithms, the present method consumes ~ 40% of the computational time under the voxel size of 0.5 mm, along with slightly enhanced accuracy. Moreover, the present method becomes more efficient under smaller voxel sizes. The robustness of present method and its endurance on measurement errors are then systematically analyzed and demonstrated.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Acknowledgements

Natural Science Foundation of Beijing (3222041), National Natural Science Foundation of China (51906017), and State Key Laboratory of Engines, Tianjin University (K2021-07)

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Authors and Affiliations

  1. School of Mechanical Engineering, Beijing Institute of Technology, Beijing, China

    Bugao Gong, Chen Ling & Yue Wu

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  1. Bugao Gong
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  2. Chen Ling
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  3. Yue Wu
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Contributions

Y.W. proposed the main idea. B.G. and C.L. have performed the simulation and experiments' calculation and wrote the main manuscript text. Thorough checking of the paper was done by all authors.

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Correspondence to Yue Wu.

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Gong, B., Ling, C. & Wu, Y. Development of a direct-mapping tomography method to solve confined space problems with enhanced calculation efficiency. Appl. Phys. B 129, 128 (2023). https://doi.org/10.1007/s00340-023-08075-y

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