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Optimizing image reconstruction of tissue blood flow by diffuse correlation tomography

In this work, we analyze the image reconstruction problem within the first order Rytov approximation and optimize the image reconstruction by looking at the singular value spectrum of the "weight matrix". We show that the optimal data is from the tail of the temporal intensity autocorrelation curve by investigating the condition number. Furthermore, by doing a standard L-curve analysis, we find the optimal regularization constant (Tikhonov regularization). Images from simulated data are shown to illustrate the advantage of the optimization process.