Figure 1
Density and phase agreement measures as a function of the circular variance of the phase-error distributions. The top left panel shows the Fourier-space mean absolute phase difference (equation 11), the real-space density correlation coefficient (equation 12) and the Fourier-space Fisher–Lee phase correlation coefficient (equation 13) as a function of the circular variance of the phase-error distributions for test case 4bsj. Symbols show the sample mean for each statistic, while error bars show half the sample standard deviation. The bottom left panel shows schematically the correspondent probability mass function of the wrapped Bernoulli function, used to introduce phase error for the centric data, and the probability density function of the von Mises distribution, used to introduce phase error for the acentric data. The von Mises distribution is displayed on the unit circle, with the distance from the unit circle at each angle representing the probability density, and the location parameter μ set to π/2, without loss of generality. The insets on the right show the typical appearance of the electron-density function at the indicated level of error, with the same isosurface displayed in all cases. |