TY - GEN
T1 - Comparing two regularization techniques for diffuse optical tomography
AU - Davis, Scott C.
AU - Dehghani, Hamid
AU - Yalavarthy, Phaneendra K.
AU - Pogue, Brian W.
AU - Paulsen, Keith D.
PY - 2007
Y1 - 2007
N2 - Two techniques to regularize the diffuse optical tomography inverse problem were compared for a variety of simulated test domains. One method repeats the single-step Tikhonov approach until a stopping criteria is reached, regularizing the inverse problem by scaling the maximum of the diagonal of the inversion matrix with a factor held constant throughout the iterative reconstruction. The second method, a modified Levenberg-Marquardt formulation, uses an identical implementation but reduces the factor at each iteration. Four test geometries of increasing complexity were used to test the performance of the two techniques under a variety of conditions including varying amounts of data noise, different initial parameter estimates, and different initial values of the regularization factor. It was found that for most cases tested, holding the scaling factor constant provided images that were more robust to both data noise and initial homogeneous parameter estimates. However, the results for a complex test domain that most resembled realistic tissue geometries were less conclusive.
AB - Two techniques to regularize the diffuse optical tomography inverse problem were compared for a variety of simulated test domains. One method repeats the single-step Tikhonov approach until a stopping criteria is reached, regularizing the inverse problem by scaling the maximum of the diagonal of the inversion matrix with a factor held constant throughout the iterative reconstruction. The second method, a modified Levenberg-Marquardt formulation, uses an identical implementation but reduces the factor at each iteration. Four test geometries of increasing complexity were used to test the performance of the two techniques under a variety of conditions including varying amounts of data noise, different initial parameter estimates, and different initial values of the regularization factor. It was found that for most cases tested, holding the scaling factor constant provided images that were more robust to both data noise and initial homogeneous parameter estimates. However, the results for a complex test domain that most resembled realistic tissue geometries were less conclusive.
KW - Diffuse optical tomography
KW - Image reconstruction
UR - http://www.scopus.com/inward/record.url?scp=34247353372&partnerID=8YFLogxK
U2 - 10.1117/12.700364
DO - 10.1117/12.700364
M3 - Conference contribution
AN - SCOPUS:34247353372
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 -