Pranav Bhagirath

186 Chapter 9 APPENDIX I Let n be the number of electrodes, let a be the dimension of the linear span A of the electrode potential vectors and let b be the dimension of the linear span B of the reconstructed epicardial potential vectors. Then a = n and b <= a, since the base vectors of B are, by linearity of the quasi stationary electrical field equations, obtained by a linear mapping M from the base vectors of A, that may have a kernel K of dimension k > 0. In general b = a, since M will be non-degenerate as is illustrated in figure 7 . Note that the exact nature of the parameter estimation procedure plays no role in this fundamental relationship.