This is a sparse example with 40 events. The true density is given in (a), and it is the same density from the example in the introduction. The sampled events are shown in (b). (c) and (d) show the two current density estimation methods, Kernel Density Estimation and TV MPLE. (e), (f), and (g) show the density estimates from our methods. The color scale represents the relative probability of an event occurring in a given pixel. The images are 80 pixels by 80 pixels. (a) True density, (b) 40 Events, (c) Kernel density estimation, (d) TV MPLE method, (e) Our modified TV MPLE method, (f) Our weighted H1 MPLE method, (g) Our weighted TV MPLE method.