Cinematica Inversa Formulas: A New Technique for Reducing Search Space in Electrical Impedance Tomography

Electrical Impedance Tomography (EIT) is a nonlinear and ill-posed inverse problem that demands powerful direct or iterative methods to reconstruct images. One of the key challenges in solving this problem is finding an initial solution close enough to the global minimum, which ensures convergence to the correct minimum within an appropriate time interval.

In this paper, we present a new technique called quadrant-searching that significantly reduces the search space and obtains an initial solution for the inverse problem of EIT. This approach calculates the error functional for four different contrast distributions, placing a large prospective inclusion in each of the four quadrants of the domain.

The aim of this technique is to minimize the error functional using an iterative method. By doing so, we can reduce the computational burden and improve the efficiency of the image reconstruction process. The quadrant-searching technique is simple and low-cost, making it an attractive solution for researchers and practitioners in the field of EIT.

In traditional approaches, solving the inverse problem of EIT typically involves minimizing an error functional using an iterative method. However, this approach can be computationally intensive and may not always converge to the correct minimum. The quadrant-searching technique addresses these limitations by providing a more efficient and effective way to reduce the search space and obtain an initial solution.

In conclusion, the cinematica inversa formulas presented in this paper offer a new and innovative approach for reducing the search space in electrical impedance tomography. This technique has significant potential for improving the efficiency and accuracy of image reconstruction in various applications, including medical imaging and non-destructive testing.

Cinematica inversa formulas