In this study, we first propose the use of edge-preserving regularization in optimizing an ill-conditioned problem in the reconstruction procedure for diffuse optical tomography to prevent unwanted edge smoothing, which usually degrades the attributes of images for distinguishing tumors from background tissues when using Tikhonov regularization. In the edge-preserving regularization method presented here, a potential function with edge-preserving properties is introduced as a regularized term in an objective function. With the minimization of this proposed objective function, an iterative method to solve this optimization problem is presented in which half-quadratic regularization is introduced to simplify the minimization task. Both numerical and experimental data are employed to justify the proposed technique. The reconstruction results indicate that edge-preserving regularization provides a superior performance over Tikhonov regularization.
© 2012 Optical Society of America
Original Manuscript: April 13, 2011
Revised Manuscript: June 29, 2011
Manuscript Accepted: September 16, 2011
Published: December 22, 2011
Vol. 7, Iss. 3 Virtual Journal for Biomedical Optics
Liang-Yu Chen, Min-Chun Pan, and Min-Cheng Pan, "Implementation of edge-preserving regularization for frequency-domain diffuse optical tomography," Appl. Opt. 51, 43-54 (2012)