Title :
Regularized total least squares reconstruction for optical tomographic imaging using conjugate gradient method
Author :
Zhu, Wenwu ; Wang, Yao ; Galatsanos, Nikolas P. ; Zhang, Jun
Author_Institution :
Dept. of Electr. Eng., Polytech. Univ., Brooklyn, NY, USA
Abstract :
A regularized total least square (RTLS) approach to solve a linear perturbation equation encountered in optical tomography is developed based on the Rayleigh quotient formulation. To compute efficiently the solution, the Rayleigh quotient form of the RTLS filter (RQF-RTLS) is used and a conjugate gradient algorithm is implemented. Simulation results show that the RQF-RTLS method obtains more stable and accurate solutions than the regularized least squares (RLS) approach which does not account for the errors in the operator
Keywords :
conjugate gradient methods; diagnostic radiography; image reconstruction; least squares approximations; medical image processing; numerical stability; optical tomography; RQF-RTLS; RQF-RTLS method; RTLS filter; Rayleigh quotient formulation; accurate solution; conjugate gradient algorithm; conjugate gradient method; linear perturbation equation; medical optical imaging; operator errors; optical tomographic imaging; optical tomography; regularized least squares; regularized total least squares reconstruction; simulation results; stable solution; Equations; Image reconstruction; Least squares methods; Nonlinear optics; Optical filters; Optical imaging; Optical scattering; Rayleigh scattering; Resonance light scattering; Tomography;
Conference_Titel :
Image Processing, 1997. Proceedings., International Conference on
Conference_Location :
Santa Barbara, CA
Print_ISBN :
0-8186-8183-7
DOI :
10.1109/ICIP.1997.647444
