In this paper, an accurate 3-dimensional (3-D) analytical solution is proposed to calculate the projective capacitances of touch panels. In this study, both simple and complex patterns were investigated for the calculation. We propose a partition strategy to divide a pattern into many rectangular or triangular sub-patterns. Each sub-pattern can be further cut into 2-D slices. The capacitance of a 2-D slice was then solved by our closed-form formulae. The total capacitance of a pattern was obtained by integrating up all the partial capacitances of the slices. In this study, the precision of our analytical method was examined by comparing the simulation results obtained from Q3D
