What is the justification for using the transpose of the sensitivity matrix as the inverse transform in the LBP algorithm?
Although we have no means of knowing which pixels have contributed to the capacitance measured between any specific electrode-pair, we know from the sensitivity matrix S that certain pixels have more effect than others on this capacitance. Consequently, we allocate component values to each pixel proportional to the product of the electrode-pair capacitance and the pixel sensitivity coefficient for this electrode-pair. This process is repeated for each electrode-pair capacitance in turn and the component values obtained for each pixel are summed for the complete range of electrode-pairs.
