QUADRANT-SEARCHING: A NEW TECHNIQUE TO REDUCE THE SEARCH SPACE OF THE INVERSE PROBLEM OF EIT USING BEM TO THE DIRECT PROBLEM

The image reconstruction using the EIT (Electrical Impedance Tomography) technique is a nonlinear and ill-posed inverse problem which demands a powerful direct or iterative method. A typical approach for solving the problem is to minimize an error functional using an iterative method. In this case, an initial solution close enough to the global minimum is mandatory to ensure the convergence to the correct minimum in an appropriate time interval. The aim of this paper is to present a new, simple and low cost technique (quadrant-searching) to reduce the search space and consequently to obtain an initial solution of the inverse problem of EIT. This technique calculates the error functional for four different contrast distributions placing a large prospective inclusion in the four quadrants of the domain. Comparing the four values of the error functional it is possible to get conclusions about the internal electric contrast. For this purpose, initially we performed tests to assess the accuracy of the BEM (Boundary Element Method) when applied to the direct problem of the EIT and to verify the behavior of error functional surface in the search space. Finally, numerical tests have been performed to verify the new technique.

Sonographic Diagnosis of a Ureteral Inguinal Hernia in a Renal Transplant

Complications related to renal transplants have been widely reported in the literature. The most common complications include acute tubular necrosis, rejection, perirenal fluid collections, vascular complications, and urinary tract obstruction, which are promptly identified by imaging studies. Here we report a case of a patient with a rare cause of obstruction: a ureteral inguinal hernia. This is the sixth report of this condition, and, to our knowledge, no previous case has been reported in which sonography played an important role in promptly identifying the underlying condition and allowing additional less hazardous studies, therefore aiding case management.