Remove the edge between two stacked bars

Consider the following stacked bars

data = [2 1 ; 3 2];
b = bar(data,'stacked');
axis([0 3 0 6])

the plot I'd like to obtain is the one showed in the image below, that is stacked bars with all edges but the one between the bars.

I tried with `b(1).EdgeAlpha = 0` but this removes also the side edges of the blue bar.

A very naive (and ugly) approach is to remove all edges and then to plot a rectangle with the size of the two stacked bars

data = [2 1 ; 3 2];
bar(data,'stacked','EdgeAlpha',0);
hold on
axis([0 3 0 6])
syms x
fplot(rectangularPulse((x-1)*1.25)*sum(data(1,:)), [.6 1.4]+[-1 1]*1e-13,'k')
fplot(rectangularPulse((x-2)*1.25)*sum(data(2,:)), [1.6 2.4]+[-1 1]*1e-13,'k')

Is there a handy way using the bar properties or something else?

Answer 1

[KSSV]

bar(data,'stacked','EdgeAlpha',0,'EdgeColor','none');

[giannit]

The plots generated by

bar(data,'stacked','EdgeAlpha',0,'EdgeColor','none')

and by

bar(data,'stacked','EdgeAlpha',0)

are the same and they have no edges at all, while I'd like to keep all edges but the one between the bars.