  The ability to measure the mean and Gaussian curvature in lipid mesophases is
important in our understanding of their formation and properties, and can be
achieved both experimentally and computationally. Here we show that curvature
can be measured using Molecular Dynamics simulations, however the reliability
of the results is highly dependent on the choice of fitting algorithm, the
atoms within the lipid membrane that are selected for fitting and the number of
atoms that are included in the fit. We compare the results of our method to the
L${\alpha}$ mesophase as previously studied, and subsequently extend the method
to the Q$_{II}^{D}$ and H$_{II}$ mesophase, not previously studied in this way
computationally, but whose curvatures are known both analytically and
experimentally. By systematically comparing our results, we demonstrate a
robust method which can be used in general to measure curvature.
