assuming the spacing s is small enough to resolve variations in f accurately. Despite the simplicity of a uniform grid, it is common to generate G in a less trivial fashion to reduce the storage requirements and the computational cost of operations on F . For example, in order to make routine DFT calculations feasible, typical grids used to perform real space integration become less dense further from atomic nuclei, where the electron density is lower and quantummechanical functions vary more slowly . Topological analysis on such non-uniform grids has been carried out previously in the context of Bader's quantum theory of atoms in molecules (QTAIM ) . However, such methods rely on the ability to freely evaluate f and it's gradient ∇f . In the present work, a method to perform topological analysis without supplementing the function evaluations given in Eq. 1 is developed. This method is therefore a strict post-processing of F and can be easily applied to an arbitrary function (or set of datapoints with the form of Eq. 1). This also permits it's packaging as a generally-applicable software tool .