Cramer-Rao estimation of error limits for diffuse optical tomography with spatial prior information

Phaneendra Yalavarthy; Rajesh Langoju; Brian Pogue; Hamid Dehghani; Abhijit Patil; Keith Paulsen

doi:10.1117/12.699404

13 February 2007 Cramer-Rao estimation of error limits for diffuse optical tomography with spatial prior information

Phaneendra Yalavarthy, Rajesh Langoju, Brian Pogue, Hamid Dehghani, Abhijit Patil, Keith Paulsen

Proceedings Volume 6434, Optical Tomography and Spectroscopy of Tissue VII; 643403 (2007) https://doi.org/10.1117/12.699404
Event: SPIE BiOS, 2007, San Jose, California, United States

Abstract

Cramer-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.

Citation Download Citation

Phaneendra Yalavarthy, Rajesh Langoju, Brian Pogue, Hamid Dehghani, Abhijit Patil, and Keith Paulsen "Cramer-Rao estimation of error limits for diffuse optical tomography with spatial prior information", Proc. SPIE 6434, Optical Tomography and Spectroscopy of Tissue VII, 643403 (13 February 2007); https://doi.org/10.1117/12.699404

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