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how to plot non-standard contour plots

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emjey on 13 Dec 2019
Edited: emjey on 8 Jan 2020
I would like to plot following contour plots representing two dimensional cumulative distributon functions (CDF) given the data coordinates (blue solid dots).
2D_CDF.pngA 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


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emjey on 7 Jan 2020
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.
emjey on 8 Jan 2020
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?

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