Moving Plot over Plot (Type Curve Matching)

Hi Guys,

I would like to match my plotted data with a model plot by interactively shifting the plotted data with mouse, then get the coordinate where both value overlay in each of their own coordinate axis (only their shape/curvature is matched). In engineering this is called 'type curve matching', as illustrated below

Note that plotted data and model plot are both on log-log scale.

I have tried using the data as polyline and interactively move ('translate') it to my model plot, however the data polyline shape blows up when I move it (This doesn't happen if you use linear scale).

here is the mininmum working code

load("TCdata.mat")
load("DataArr.mat")
reD_list=[10 20 50 100 200 1000 10000 100000];
for i=1:length(reD_list)
    qDd=radbnd_TC.qDd(radbnd_TC.reD==reD_list(i));
    tDd=radbnd_TC.tDd(radbnd_TC.reD==reD_list(i));
    loglog(tDd,qDd,'LineWidth',2)

    xlim([10^-4 10^4])
    ylim([0.01 1000])
    hold on
    grid on
end
hold off
roi = images.roi.Polyline(gca,'Position',Data,'InteractionsAllowed','translate');

addlistener(roi,'ROIMoved',@allevents);
addlistener(roi,'MovingROI',@allevents);

function allevents(src,evt)
evname = evt.EventName;
    switch(evname)
        case{'MovingROI'}
            disp(['ROI moving Previous Position: ' mat2str(evt.PreviousPosition)]);
            disp(['ROI moving Current Position: ' mat2str(evt.CurrentPosition)]);
        case{'ROIMoved'}
            disp(['ROI moved Previous Position: ' mat2str(evt.PreviousPosition)]);
            disp(['ROI moved Current Position: ' mat2str(evt.CurrentPosition)]);
            pos=evt.CurrentPosition;
            save('mpos','pos')
           
    end
end

Note that the data polyline shape breaks when you move it towards the model curve

Any help will be appreciated, many thanks in advance!

Best Regards,

BMA

[Billal Aslam]

Note: I found a workaround by plotting in linear cartesian coordinate using the computed log values. However I still curious whether log based translation can be done in Matlab polyline