TY - GEN
T1 - Cramér-Rao estimation of error limits for diffuse optical tomography with spatial prior information
AU - Yalavarthy, Phaneendra
AU - Langoju, Rajesh
AU - Pogue, Brian
AU - Dehghani, Hamid
AU - Patil, Abhijit
AU - Paulsen, Keith
PY - 2007
Y1 - 2007
N2 - Cramér-Rao Bounds (CRB) for the expected variance in the parameter space were examined for Diffuse Optical Tomography (DOT), to define the lower bound (CRLB) of an ideal system. The results show that the relative standard deviation in the optical parameter estimate follows an inverse quadratic function with respect to signal to noise ratio (SNR). The CRLB was estimated for three methods of including spatial constraints. The CRLB estimate decreased by a factor of 10 when parameter reduction using spatial constraints (hard-priors) was enforced whereas, inclusion of spatial-priors in the regularization matrix (soft-priors) decreased the CRLB estimate only by a factor of 4. The maximum reduction in variance from the use of spatial-priors, occurred in the background of the imaging domain as opposed to localized target regions. As expected, the variance in the recovered properties increased as the number of parameters to be estimated increased. Additionally, increasing SNR beyond a certain point did not influence the outcome of the optical property estimation when prior information was available.
AB - Cramér-Rao Bounds (CRB) for the expected variance in the parameter space were examined for Diffuse Optical Tomography (DOT), to define the lower bound (CRLB) of an ideal system. The results show that the relative standard deviation in the optical parameter estimate follows an inverse quadratic function with respect to signal to noise ratio (SNR). The CRLB was estimated for three methods of including spatial constraints. The CRLB estimate decreased by a factor of 10 when parameter reduction using spatial constraints (hard-priors) was enforced whereas, inclusion of spatial-priors in the regularization matrix (soft-priors) decreased the CRLB estimate only by a factor of 4. The maximum reduction in variance from the use of spatial-priors, occurred in the background of the imaging domain as opposed to localized target regions. As expected, the variance in the recovered properties increased as the number of parameters to be estimated increased. Additionally, increasing SNR beyond a certain point did not influence the outcome of the optical property estimation when prior information was available.
KW - Cramér-Rao lower bounds
KW - Diffuse optical tomography
KW - Structural priors
UR - http://www.scopus.com/inward/record.url?scp=34247382148&partnerID=8YFLogxK
U2 - 10.1117/12.699404
DO - 10.1117/12.699404
M3 - Conference contribution
AN - SCOPUS:34247382148
SN - 081946547X
SN - 9780819465474
T3 - Progress in Biomedical Optics and Imaging - Proceedings of SPIE
BT - Optical Tomography and Spectroscopy of Tissue VII
T2 - Optical Tomography and Spectroscopy of Tissue VII
Y2 - 21 January 2007 through 24 January 2007
ER -