Three-dimensional optical tomography

摘要

Abstract: We present a tomography method for fluorescence and absorption biomedical optical imaging which minimizes the computational burden of 3D image reconstruction and enables data conditioning on the basis of variable and possibly spatially-correlated measurement and system noise. Specifically, we present 3D images reconstructed from (1) synthetic frequency-domain measurements; (2) finite difference solution to the diffusion equation employing partial current boundary conditions; (3) a recursive, minimum variance, optimization algorithm employing a Bayesian approximate extended Kalman filter accounting for measurement and system noise; and (4) a unique, data-driven zonation scheme to dynamically determine parameterization and accelerate convergence. Using a synthetic data set with 0.1$DGR standard deviation Gaussian noise added to phase, we demonstrate the ability to image multiple distinct 0.5 cm diameter absorbing/fluorescing heterogeneities within a combined transillumination/reflectance geometry comprising 8 sources and 90 detectors. Reconstruction of absorption maps owing to spatial distribution of fluorophores that were discretized onto a 9 $MUL 9 $MUL 9 node grid required just over 4 minutes on a 350 MHz Pentium II computer.!22