“…There exists a demand for noncircular sensors, for example, the cross sections of the pipes in the power industry or chemical reactors are square or rectangular Wang, Lv, & Li, 2008). However, direct calculation of the scattering transform from measured capacitances in the case of a noncircular sensor, for example, an elliptical region, is very complicated (Murphy, Mueller, & Newell, 2007).…”