How can I extract Information from .FIG Files?

I have 200+ .FIG files with X & Y Data. I'm trying to do something like:

X = 1:1000;
Y1 = get(Xdata, 'Figname.fig');
Y2 = ...;
etc...

plot(X, Y1, X, Y2, etc...)

Answer 1

[Walter Roberson]

projectdir = 'appropriate/directory';
dinfo = dir( fullfile(projectdir, '*.fig'));
nfiles = length(dinfo);

filenames = fullfile({dinfo.folder}, {dinfo.name});

plotfig = figure();
plotax = axes('Parent', plotfig);

for K = 1 : nfiles
    thisfile = filenames{K};
    [~, basename, ~} = fileparts(thisfile);
    fig = openfig(thisfile, 'new', 'invisible');
    hasx = findobj(fig, '-property', 'XData');
    xd = get(hasx, 'XData');
    yd = get(hasx, 'YData');
    delete(fig)
    if iscell(xd)
       temp = [xd(:), yd(:)].';
       plot(plotax, temp{:}, 'DisplayName', basename);
    else
        plot(plotax, xd, yd, 'DisplayName', basename);
    end
    hold(plotax, 'on');
    drawnow;
end
legend(plotax, 'show')

I do not assume that there is only one object with XData per figure.

I do assume that the object to be extracted from has a visible handle. This was a deliberate design decision; you could switch to findall() instead of findobj() if it is not true. One of the reasons I made the choice is that in some cases lines from legend can appear as objects that have XData property.