Is there a way to set special non-linear axis spacing to fit image?

Hi,

In a Matlab program I am dealing with some wave surface elavation calculation which results I have to compare with a figure.

Now instead of manually checking the figure (like on the left one below), it would be nice to have the Matlab plot my resulted data point on the figure (Right figure below).

However the figure has some odd axis spacing which I can't really figure out what is. In the beginnning I thought it might be log spaced, but haven't had any luck with that or any other spacing so far.

So would like to ask here if there is a way to make Matlab fit the spacing of the figure, or what kind of spacing it might be?

Just using regular spacing, the data point gets placed as shown on the right figure with the red dot while it should, if the spacing was correct, be located approximetely where I've placed the black dot.

h = 100;    % Depth [m]
H = 4;      % Wave height [m]
T = 8;      % Wave period [s]
g = 9.816;  % Acceleration of gravity [m/s^2]

%  Le Mehaute factors
LeM_y = H/(g*T^2); % = 0.1592
LeM_x = h/(g*T^2); % = 0.0064

% Plot of Le Mehaute diagram (1976)
figure(2)
% Plot Image
xrng = [0 0.2];       % x limit
yrng = [0.00005 0.05];% y limit
img = imread('LeMauhaute.png');  % import image
image(xrng,yrng,img);                        % plot image
set(gca,'YTickLabel', [], 'XTickLabel', []); % get rid of pixel (image) ticklabels
axes('Position',get(gca,'Position'),'Color','none'); %color=none to make the image visible
hold on
% Plot data points on image
plot(LeM_x,LeM_y,'.r','MarkerSize',30);
% Plot options
ylim(yrng);                                 % define figure x limit
xlim(xrng);                                 % define figure y limit
xlabel('$\frac{h}{g T^2}$','interpreter','latex','FontSize',20);
ylabel('$\frac{H}{g T^2}\hspace{1em}$','interpreter','latex','FontSize',20); set(get(gca,'YLabel'),'Rotation',0)
title('Le Mehaute diagram (1976)')
set(gcf, 'Position', [100, 100, 700, 600]);

[Chris Hooper]

trying to figure out the same thing for the same plot right now - had the same idea of pulling this image off matlab to check validty of wave theory. Any luck in the end?