how to plot non-standard contour plots

I would like to plot following contour plots representing two dimensional cumulative distributon functions (CDF) given the data coordinates (blue solid dots).

A CDF in 2 or more dimensions is not unique (Lopes et al. The two-dimensional Kolmogorov-Smirnov test) that's why there are 4 alternative plots (and probably some more). I assume this task is in theory straightforward but time consuming, there might be something out there.

Any pointers would be very welcome. M

[darova]

Can you provide sample code? What have you tried?

[emjey]

Thanks darova for your interest, but I haven't tried it yet, will keep you posted, Best, M

[emjey]

Using R I have (obviously similar plots can be done with Matlab), more or less, covered type 1 & 4, see below

but 2 & 3 are not as trivial to plot.

[darova]

try patch

[emjey]

Thanks darova for pointing me in the right direction! Again, I did in R using geom_rect, an analog to 'patch' if I see it correctly.

The sequence of recangles is ordered wrt the eucleadian distance of the data. This means, if we assume this generic ordering, there is possibly only one version of defining a 2D CDF instead of two.

Any comments?