How do you plot the average of a group of lines in a figure?

I have a group of lines that represent the damping of a system for a given mode and I want to find the average trendline just from using the data given to me in the graph. I don't have the x and y datapoints and it would be a pain to try to go get them. Is there a way to make an average trendline just from the lines given to me in the figure?

The only things I have available to me are a vector of object type "line" from the figure and the figure itself

[Chunru]

If you have .fig file, you may be able to retrieve all data. Can you post your file?

[Jacob Capito]

Yeah I just added my fig file to my post.

[Image Analyst]

I'd rather have the original data, not a .fig file visualization of it. Can you attach the original data in a .mat file or text file? Then I'd just interpolate all the curves on a common x-axis, add up all the values and divide by the number of curves.

Answer 1

[Chunru]

h = openfig("Damping_mode_2.fig", "visible");
hl = findobj(h, 'Type', 'Legend');
hl.Location = 'southoutside'; hl.NumColumns = 4; hl.FontSize = 5;
hlines = findobj(gca, 'Type', 'Line');
for i=1:length(hlines)
    x{i,1} = hlines(i).XData;
    %size(x{i})
    y{i,1} = hlines(i).YData;
    name{i,1} = hlines(i).DisplayName;
end

% convert to matrix
x = cell2mat(x)';
y = cell2mat(y)';

xmin = min(x(:)); xmax=max(x(:));
xg = linspace(xmin, xmax, 51);
yg = zeros(length(xg), size(x,2));

% interpolate the data
for i=1:size(x, 2)
    yg(:, i) = interp1(x(:,i), y(:,i), xg, 'linear', 'extrap');
end
ymean = mean(yg, 2);
hold on
plot(xg, ymean, 'r', 'LineWidth', 4, 'DisplayName', 'mean');