Development and validation of a reconstruction algorithm for three-dimensional nonlinear tomography problems.

This work reports the development and experimental validation of a reconstruction algorithm for three-dimensional (3D) nonlinear tomography problems. Many optical tomography problems encountered in practice are nonlinear, for example, due to significant absorption, multiple-scattering, or radiation trapping. Past research efforts have predominately focused on reconstruction algorithms for linear problems, and these algorithms are not readily extendable to nonlinear problems due to several challenges. These challenges include the computational cost caused by the nonlinearity (which was compounded by the large scale of the problems when they are 3D), the limited view angles available in many practical applications, and the measurement uncertainty. A new algorithm was therefore developed to overcome these challenges. The algorithm was validated both numerically and experimentally, and was demonstrated to be able to solve a range of nonlinear tomography problems with significantly enhanced efficiency and accuracy compared to existing algorithms.

[1]  Lihui Peng,et al.  Image reconstruction algorithms for electrical capacitance tomography , 2003 .

[2]  Heng Xiao,et al.  Analysis of four-dimensional Mie imaging using fiber-based endoscopes. , 2014, Applied optics.

[3]  Robert J. Santoro,et al.  Multiangular Absorption Diagnostics of a Turbulent Argon-Methane Jet , 1980 .

[4]  Anne Sentenac,et al.  Influence of multiple scattering on three-dimensional imaging with optical diffraction tomography. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[5]  A. Kempf,et al.  Computed Tomography of Chemiluminescence (CTC): Instantaneous 3D measurements and Phantom studies of a turbulent opposed jet flame , 2011 .

[6]  Qingchun Lei,et al.  Experimental demonstration of 4D imaging in two-phase flows based on computed tomography at 5  kHz. , 2014, Applied optics.

[7]  Fulvio Scarano,et al.  Tomographic PIV: principles and practice , 2012 .

[8]  Lin Ma,et al.  Investigation of temperature parallel simulated annealing for optimizing continuous functions with application to hyperspectral tomography , 2011, Appl. Math. Comput..

[9]  Fei Li,et al.  Numerical and experimental validation of a three-dimensional combustion diagnostic based on tomographic chemiluminescence. , 2013, Optics express.

[10]  Nail A. Gumerov,et al.  Application of a hybrid gentic/powell algorithm and a boundary element method to electical , 2001 .

[11]  Weng Cho Chew,et al.  Nonlinear two-dimensional velocity profile inversion using time domain data , 1992, IEEE Trans. Geosci. Remote. Sens..

[12]  B. Pogue,et al.  Optical image reconstruction using frequency-domain data: simulations and experiments , 1996 .

[13]  Lin Ma,et al.  Fiber-based endoscopes for 3D combustion measurements: View registration and spatial resolution , 2014 .

[14]  Hugues Giovannini,et al.  Experimental demonstration of quantitative imaging beyond Abbe's limit with optical diffraction tomography. , 2009, Physical review letters.

[15]  Qingchun Lei,et al.  Single-shot volumetric laser induced fluorescence (VLIF) measurements in turbulent flows seeded with iodine. , 2015, Optics express.

[16]  L Hesselink,et al.  Measurement of mixing fluid flows with optical tomography. , 1988, Optics letters.

[17]  Vishwanath Prasad,et al.  Performance evaluation of iterative tomography algorithms for incomplete projection data. , 2004, Applied optics.

[18]  Yong Yan,et al.  Optical Fiber Imaging Based Tomographic Reconstruction of Burner Flames , 2012, IEEE Transactions on Instrumentation and Measurement.

[19]  R. J. Santoro,et al.  Optical tomography for flow field diagnostics , 1980 .

[20]  Weifu Fang,et al.  A nonlinear image reconstruction algorithm for electrical capacitance tomography , 2004 .

[21]  Campbell D. Carter,et al.  From ignition to stable combustion in a cavity flameholder studied via 3D tomographic chemiluminescence at 20 kHz , 2016 .

[22]  Ruzairi Abdul Rahim,et al.  Flame imaging using laser-based transmission tomography , 2006 .

[23]  H. Barrett,et al.  Computerized tomography: taking sectional x rays , 1977 .

[24]  Jordi J. Mallorquí,et al.  Convergence and stability assessment of Newton-Kantorovich reconstruction algorithms for microwave tomography , 1998, IEEE Transactions on Medical Imaging.

[25]  Andreas Kempf,et al.  Computed Tomography of Chemiluminescence (CTC): High resolution and instantaneous 3-D measurements of a Matrix burner , 2011 .

[26]  Sukesh Roy,et al.  50-kHz-rate 2D imaging of temperature and H2O concentration at the exhaust plane of a J85 engine using hyperspectral tomography. , 2013, Optics express.

[27]  S. Arridge.  Optical tomography in medical imaging , 1999 .

[28]  Weiwei Cai,et al.  Numerical investigation of hyperspectral tomography for simultaneous temperature and concentration imaging. , 2008, Applied optics.

[29]  Sandro Ridella,et al.  Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithmCorrigenda for this article is available here , 1987, TOMS.

[30]  Robert J. Santoro,et al.  Optical tomography for flow field diagnostics , 1981 .

[31]  Yojiro Ishino,et al.  Three-Dimensional Computerized Tomographic Reconstruction of Instantaneous Distribution of Chemiluminescence of a Turbulent Premixed Flame , 2005 .

[32]  Lin Ma,et al.  Application of simulated annealing for multispectral tomography , 2008, Comput. Phys. Commun..

[33]  Weiwei Cai,et al.  Validation of temperature imaging by H2O absorption spectroscopy using hyperspectral tomography in controlled experiments. , 2011, Applied optics.

[34]  Julio Soria,et al.  An efficient simultaneous reconstruction technique for tomographic particle image velocimetry , 2009 .

[35]  Xuesong Li,et al.  Practical aspects of implementing three-dimensional tomography inversion for volumetric flame imaging. , 2013, Applied optics.

[36]  Lin Ma,et al.  Multidimensional Monte Carlo model for two-photon laser-induced fluorescence and amplified spontaneous emission , 2012, Comput. Phys. Commun..

[37]  Peter R. Solomon,et al.  Tomographic reconstruction of FT-IR emission and transmission spectra in a sooting laminar diffusion flame : species concentrations and temperatures , 1991 .

[38]  Marc Molinari,et al.  Comparison of algorithms for non-linear inverse 3D electrical tomography reconstruction. , 2002, Physiological measurement.

[39]  Nail Gumerov,et al.  Application of a Hybrid Genetic/PowellAlgorithm and a Boundary Element Methodto Electrical Impedance Tomography , 2001 .