Comparing two scatterplot matrices

I have these two 39x2 matrices that each form a similar grid when plotted. I would like a way to compare the differences between the two for the position of each point, preferably a histogram for the x-axis and a histogram for the y-axis that shows the amount of difference between the two, so as to illustrate any amount of "bowing" from one grid to the next. Here is how I plot these two grids together, followed by the two matrices:

figure('Name','Grid Comparison');
hold on;
scatter(mat1(:,1), mat1(:,2),3,'r');
scatter(mat2(:,1), mat2(:,2),3, 'g');
ax = gca; 
ax.Color = 'k';
ax.YDir = 'reverse';

        29.9  326.7      31.4  329.7
        31.6  183.3      32.2  187.1
        38.0  398.3      41.8  258.3
        40.4  255.2      41.6  400.9
        108.1  470.8      112.9  472.4
        109.4  399.5      113.1  116.4
        110.6  327.9      113.1  187.7
        112.3  184.5      113.2  258.5
        111.6  256.2      113.4  330.0
        113.2  113.0      113.0  401.2
        114.0  41.8      113.9  44.7
        181.1  400.2      184.2  259.0
        180.0  481.5      184.0  330.0
        182.2  328.5      183.9  481.7
        183.2  256.7      185.2  36.5
        184.7  114.2      184.0  401.2
        185.1  33.1      184.8  116.5
        252.7  401.1      255.0  187.4
        251.7  472.4      255.1  258.7
        253.3  329.5      255.0  330.8
        254.9  257.9      254.6  400.8
        255.5  186.5      254.9  472.8
        256.9  43.9      255.4  45.0
        256.2  115.4      255.5  116.6
        324.9  330.6      326.0  259.3
        324.2  401.9      325.6  330.2
        326.5  187.4      325.7  401.7
        326.2  259.0      326.5  37.3
        329.0  34.6      326.3  187.6
        394.9  474.3      397.0  331.3
        396.1  331.3      396.5  473.6
        398.3  188.5      398.0  187.9
        397.5  260.1      397.8  259.2
        400.3  45.2      398.6  45.1
        467.2  403.8      468.1  403.5
        468.6  260.6      469.2  259.0
        471.0  117.5      469.5  117.3
        477.0  332.3      478.7  331.5
        479.0  189.6      479.0  188.0

[k5jyw153vcxb]

As I am not familiar enough with MATLAB enough to know of what functions would be useful for my endeavor, I have so far tried using the distance from each point to the origin to sort both matrices in the desired order. It does not worked perfectly tho as the differences between them appear to be large enough to throw off the order, such as these points being matched with each other:

31.61290323  183.3145161      185.2252252  36.54054054
185.1101695  33.13559322      32.22826087  187.1195652

Is there a simpler way to order the points as they would appear when plotted?

[k5jyw153vcxb]

I've found a way that suffices to do the job I want for the proper sorting, but I was hoping for an easier way. This is the function I created to sort them.

ind = 1; sorted_array1 = zeros(39,2); sorted_array2 = zeros(39,2);
for i = 1:39
  for j = 1:39
      if abs(array1(i,1) - array2(j,1)) < 10 && abs(array1(i,2) - array2(j,2)) < 10
          sorted_array1(ind,:) = array1(i,:);
          sorted_array2(ind,:) = array2(j,:);
          ind = ind + 1;
      end
  end
end

[Image Analyst]

Make it easy for us. Attach your data and a screenshot. Maybe then someone will work on your problem.