Abstract
The perturbation method is an effective approach for optical tomography reconstruction, however its success depends to a great extent on how close initial estimates are to the actual solutions. In addition, the linear perturbation method can only be applied to the reconstruction of differences between two similar states. To overcome these limitations, we present a pre-scaling technique applied to the qualitative reconstruction of the absorption map. In this method, the initial estimate of the absorption coefficient is scaled to an appropriate value before it is employed in iteration. The scaled estimate leads to the forward solution on the boundary close to the measured data. In the simulated experiments, reconstructions were performed with and without the pre-scaling technique. The results demonstrate that the proposed technique extends the selection of the initial estimate of optical properties, and makes it feasible that the absolute value of optical properties can also be used in the linear perturbation approach.
Highlights
Diffusion optical tomography (DOT) is a relatively new but rapidly growing technique, which has shown its powerful potential in medical imaging [1]-[3]
The perturbation method is one of the most effective approaches, its success depends considerably on how close the initial estimate is to the actual solution [4]
We scale the initial estimate of the absorption coefficient to an appropriate value, which leads to forward solutions, namely the derived values on the boundary, that are close to the measured data
Summary
Diffusion optical tomography (DOT) is a relatively new but rapidly growing technique, which has shown its powerful potential in medical imaging [1]-[3]. The perturbation method is one of the most effective approaches, its success depends considerably on how close the initial estimate is to the actual solution [4] When they deviate from each other significantly, the perturbation method fails, so selecting good initial estimates of optical properties generally requires prior information. The linear perturbation method is typically used in the reconstruction of difference imaging where measurements are taken before and after a small change in the optical properties [1] In this case, two sets of data are generally required. We present a pre-scaling technique for the qualitative reconstruction of tissue absorption maps In this method, we scale the initial estimate of the absorption coefficient to an appropriate value, which leads to forward solutions, namely the derived values on the boundary, that are close to the measured data. Further simulations were run in which noise was added to test the effect on the reconstruction results
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