Breast Ultrasound Tomography Using Homotopy Continuation Method

Breast ultrasound computed tomography (UCT) is an alternative technique to X-ray mammography and B-mode ultrasound. Since mammogram has a high rate of false-positive results, as well as unconformability. On the other hand low resolution images in conventional ultrasound make the differentiation between breast tissue and tumor a little difficult. In this preliminary study we tested and investigated full wave based tomography method. We considered this problem as an nonlinear inverse problem by constructing a nonlinear operator, and finding an approximate solution to this operator by using the well known globally convergent method, which called homotopy continuation methods (HCM). The effect of the noise to the reconstructed image is also tested. Our results is compared to other methods as filtered back projection (FBP). The results shows the robustness and the visibility of this technique.