MATLAB: How to create a custom colormap in this case

colormapMATLAB

I want to know how I can change the color map and corresponding color bar to showing from light blue(#add8e6) to dark blue (#00008b). 
S = shaperead ('country_Boundary.shp');
lon = S.X;     % for example, I want to find all points in polygon number one
lat = S.Y;
plot(lon, lat, '-k')
hold on
axis equal
ax = gca;
xL = ax.XLim;
yL = ax.YLim;
rect_x = [-0.25 -0.25 0.25 0.25];
rect_y = [0.25 -0.25 -0.25 0.25];
x = points{:,1};
y = points{:,2};
z = points{:,3};
num_colors = 100;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

clrs = summer(num_colors); %<<<< here is the problem
zlim = [min(z) max(z)]+[-0.1 +0.1];
clr_val = @(z) clrs(ceil(interp1(zlim, [0 1], z)*num_colors), :);
for i=1:numel(x)
    p(i) = patch(rect_x + x(i), rect_y + y(i), ...
        clr_val(z(i)), ...
        'EdgeColor', 'none');
end
ax.XLim = xL;
ax.YLim = yL;
colorbar
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
colormap(summer)
caxis([min(z) max(z)])
Thanks

Best Answer

That is essentially the example here.
Using the hex -> rgb converter from this answer:
% test image
imagesc(rand(10,10))
colorbar
% define start and end colors
start_color = sscanf('add8e6','%2x%2x%2x',[1 3])/255;
end_color = sscanf('00008b','%2x%2x%2x',[1 3])/255;
N = 10;
% create a map linearly interpolating between them
% i.e. three columns interpolating from Red1 to Red2, etc.
map=[linspace(start_color(1),end_color(1),N)' linspace(start_color(2),end_color(2),N)' linspace(start_color(3),end_color(3),N)'];
colormap(map)
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