Evaluate image reconstruction algorithms for EIT lung function.

Order description: To mathematically evaluate image reconstruction algorithms for electrical impedance tomography (EIT) lung function. * Explain what are the time-difference, frequency-difference and absolute imaging techniques and what place does it take in EIT systems. * discuss the approaches and investigate while solving the time-difference technique: -One-step linear Gauss-Newton -GREIT -D-bar -TSVD *Solve Mathematically the forward and inverse problem in the EIT systems *While solving the two problems, justifications that explain the steps done are required. * Provide the mathematical steps and results found while solving the forward and inverse problems * Discuss the steps of the methods used to solve the forward and the inverse problem. * Discuss if there is any connection that links more than one method together, if no connection found discuss why. * With high quality references that is obtained from scienceDirect, etc.