An efficient and robust reconstruction method for optical tomography with the time-domain radiative transfer equation. (March 2016)

• Record Type: Journal Article
• Authors: Qiao, Yaobin; Qi, Hong; Chen, Qin; Ruan, Liming; Tan, Heping
• Is Part Of: Optics and lasers in engineering. Volume 78(2016)
• Page Start: 155
• Page End: 164
• Publication Date: 2016-03
• Subjects: Complex-variable-differentiation method -- Optical tomography -- Time-domain equation of radiative transfer -- Multi-start iterative technique; Lasers in engineering -- Periodicals; Optical measurements -- Periodicals; Optics -- Periodicals; Lasers en ingénierie -- Périodiques; Mesures optiques -- Périodiques; Optique -- Périodiques; 621.36605
• DOI: 10.1016/j.optlaseng.2015.10.011
• Languages: English
• ISSNs: 0143-8166

Abstract

Abstract: An efficient and robust method based on the complex-variable-differentiation method (CVDM) is proposed to reconstruct the distribution of optical parameters in two-dimensional participating media. An upwind-difference discrete-ordinate formulation of the time-domain radiative transfer equation is well established and used as forward model. The regularization term using generalized Gaussian Markov random field model is added in the objective function to overcome the ill-posed nature of the radiative inverse problem. The multi-start conjugate gradient method was utilized to accelerate the convergence speed of the inverse procedure. To obtain an accurate result and avoid the cumbersome formula of adjoint differentiation model, the CVDM was employed to calculate the gradient of objective function with respect to the optical parameters. All the simulation results show that the CVDM is efficient and robust for the reconstruction of optical parameters. Highlights: The complex-variable-differentiation method is introduced to calculate the gradient. The multi-start iteration CG method is employed to accelerate the convergence speed. The optical parameters in inhomogeneous medium are reconstructed well.