Application of the sequential quadratic programming algorithm for reconstructing the distribution of optical parameters based on the time-domain radiative transfer equation.

Sequential quadratic programming (SQP) is used as an optimization algorithm to reconstruct the optical parameters based on the time-domain radiative transfer equation (TD-RTE). Numerous time-resolved measurement signals are obtained using the TD-RTE as forward model. For a high computational efficiency, the gradient of objective function is calculated using an adjoint equation technique. SQP algorithm is employed to solve the inverse problem and the regularization term based on the generalized Gaussian Markov random field (GGMRF) model is used to overcome the ill-posed problem. Simulated results show that the proposed reconstruction scheme performs efficiently and accurately.

[1]  Kenneth M. Hanson,et al.  Model-based image reconstruction from time-resolved diffusion data , 1997, Medical Imaging.

[2]  Charles A. Bouman,et al.  Optical diffusion tomography by iterative- coordinate-descent optimization in a Bayesian framework , 1999 .

[3]  Masao Fukushima,et al.  A successive quadratic programming algorithm with global and superlinear convergence properties , 1986, Math. Program..

[4]  Hyun Keol Kim,et al.  A sensitivity function-based conjugate gradient method for optical tomography with the frequency-domain equation of radiative transfer , 2007 .

[5]  Andreas H. Hielscher,et al.  A PDE-constrained SQP algorithm for optical tomography based on the frequency-domain equation of radiative transfer , 2008 .

[6]  Morteza Khademi,et al.  An efficient method for model refinement in diffuse optical tomography , 2007 .

[7]  Ricardo Hernandez,et al.  Flame imaging as a diagnostic tool for industrial combustion , 2008 .

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

[9]  Jinlan Guan,et al.  Optical tomography reconstruction algorithm based on the radiative transfer equation considering refractive index: Part 2. Inverse model , 2013, Comput. Medical Imaging Graph..

[10]  Andreas H. Hielscher,et al.  Three-dimensional optical tomography with the equation of radiative transfer , 2000, J. Electronic Imaging.

[11]  H. Tan,et al.  Multi-start iterative reconstruction of the radiative parameter distributions in participating media based on the transient radiative transfer equation , 2015 .

[12]  Pranav Kumar,et al.  Development and comparison of the DTM, the DOM and the FVM formulations for the short-pulse laser transport through a participating medium , 2006 .

[13]  Chuanlong Xu,et al.  An inverse method for flue gas shielded metal surface temperature measurement based on infrared radiation , 2016 .

[14]  Philippe Ben-Abdallah,et al.  Many-body radiative heat transfer theory. , 2011, Physical review letters.

[15]  John McGhee,et al.  Radiative transport-based frequency-domain fluorescence tomography , 2008, Physics in medicine and biology.

[16]  E M Sevick-Muraca,et al.  Three-dimensional unconstrained and constrained image-reconstruction techniques applied to fluorescence, frequency-domain photon migration. , 2001, Applied optics.

[17]  Oliver Dorn,et al.  A transport-backtransport method for optical tomography , 1998 .

[18]  Alexander D. Klose,et al.  Gradient-based iterative image reconstruction scheme for time-resolved optical tomography , 1999, IEEE Transactions on Medical Imaging.

[19]  K. Schittkowski.  The nonlinear programming method of Wilson, Han, and Powell with an augmented Lagrangian type line search function , 1982 .

[20]  Fatmir Asllanaj,et al.  Sensitivity analysis to optical properties of biological tissues subjected to a short-pulsed laser using the time-dependent radiative transfer equation , 2014 .

[21]  Jun Miao,et al.  One-Class Classification with Extreme Learning Machine , 2015 .

[22]  Oliver Dorn,et al.  Fréchet Derivatives for Some Bilinear Inverse Problems , 2002, SIAM J. Appl. Math..

[23]  Roy,et al.  Active constrained truncated Newton method for simple-bound optical tomography , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  Enock Jonathan,et al.  Non-contact and non-destructive testing of silicon V-grooves: A non-medical application of optical coherence tomography (OCT) , 2006 .

[25]  Simon R. Arridge,et al.  Reconstructing absorption and scattering distributions in quantitative photoacoustic tomography , 2012 .

[26]  Zhixiong Guo,et al.  Fast 3-d optical imaging with transient fluorescence signals. , 2004, Optics express.

[27]  Joan Boulanger,et al.  Numerical developments for short-pulsed Near Infra-Red laser spectroscopy. Part II: inverse treatment , 2005 .

[28]  Jean-Jacques Greffet,et al.  Time-dependent transport through scattering media: from radiative transfer to diffusion , 2002 .

[29]  L. C. Henyey,et al.  Diffuse radiation in the Galaxy , 1940 .

[30]  Michael Chu,et al.  Light transport in biological tissue using three-dimensional frequency-domain simplified spherical harmonics equations , 2009, Physics in medicine and biology.

[31]  Joan Boulanger,et al.  An overview on recent radiation transport algorithm development for optical tomography imaging , 2008 .

[32]  Hong Qi,et al.  An efficient and robust reconstruction method for optical tomography with the time-domain radiative transfer equation , 2016 .

[33]  S. Kumar,et al.  Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media. , 2001, Applied optics.

[34]  Alexander D Klose,et al.  The forward and inverse problem in tissue optics based on the radiative transfer equation: a brief review. , 2010, Journal of quantitative spectroscopy & radiative transfer.

[35]  A H Hielscher,et al.  Iterative reconstruction scheme for optical tomography based on the equation of radiative transfer. , 1999, Medical physics.

[36]  Guillaume Bal,et al.  Frequency Domain Optical Tomography Based on the Equation of Radiative Transfer , 2006, SIAM J. Sci. Comput..

[37]  André Charette,et al.  Optical tomography with the discontinuous Galerkin formulation of the radiative transfer equation in frequency domain , 2012 .