Numerical simulation of auto-adapted deflection tomography

Yizhong Song; Zhimin Zhao

doi:10.1117/12.810892

2 February 2009 Numerical simulation of auto-adapted deflection tomography

Yizhong Song, Zhimin Zhao

Proceedings Volume 7160, 2008 International Conference on Optical Instruments and Technology: Optoelectronic Measurement Technology and Applications; 71602Y (2009) https://doi.org/10.1117/12.810892
Event: International Conference of Optical Instrument and Technology, 2008, Beijing, China

Abstract

A new deflection tomography algorithm was suggested and tested with a simulated flow field. The programs calculating deflection projection and inverse projection were worked out based on optical refraction principle and mathematical, physical significance of tomography. With our home-made Simple Self-correlative Algebraic Reconstruction Technique (SSART), a new deflection tomography algorithm was programmed and named auto-adapted deflection tomography system. A section of a complex flow field was simulated with Gauss and rectangle window functions. One positive and one negative Gauss peaks were constructed on the section in order to make the model contain double-polar components. One square tower was constructed on the section in order to make the model contain much more high-frequency waves. The deflection projections were figured out according to the tomography algorithm with direction interval one degree. So, we got 180 direction projections in total. 12 projections were selected out by direction step 15 degree, and 84 projections were picked out by direction interval 2 or 3 degree. The section was reconstructed with the projections by SSART. The reconstructed results were compared with the model. The reconstructive effect was estimated with Mean-square error(MSE) and Peak error(PE). As the result, the system could reconstruct the simulated field accurately. With twelve projections, MSE was about from 0.0001 to 0.0006 at the end of 300 cycle iterations, and PE was about from 0.007 to 0.020. With selected 84 projections, the MSE was 0.00000999, and PE was 0.00013142. So, the auto-adapted deflection tomography system can accurately reconstruct complex flow fields.

Citation Download Citation

Yizhong Song and Zhimin Zhao "Numerical simulation of auto-adapted deflection tomography", Proc. SPIE 7160, 2008 International Conference on Optical Instruments and Technology: Optoelectronic Measurement Technology and Applications, 71602Y (2 February 2009); https://doi.org/10.1117/12.810892

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KEYWORDS

Tomography

Reconstruction algorithms

Numerical simulations

Radon transform

Computed tomography

Optical tomography

Refractive index

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