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sobel filter analysis/getCenterOfMass2D.m

+function output = getCenterOfMass2D(input)
+    output = zeros([2, 2]);
+    inputSize = size(input);
+    
+    % The 3-element array stores the index of the optimal row, along with
+    % its center of mass, plus the overall ratio of mass to not-mass.
+    bestRow = [1, 0, 0];
+    bestCol = [1, 0, 0];
+    
+    for i = 1:inputSize(1)
+        rowCenter = getCenterOfMass1D(input(i, :));
+        if rowCenter(2) > bestRow(3)
+            bestRow = [i, rowCenter(1), rowCenter(2)];
+        end
+    end
+    
+    for i = 1:inputSize(2)
+        colCenter = getCenterOfMass1D(input(:, i));
+         if colCenter(2) > bestCol(3)
+            bestCol = [i, colCenter(1), colCenter(2)];
+        end
+    end
+    output(1, :) = [bestRow(1), bestRow(2)];
+    output(2, :) = [bestCol(1), bestCol(2)];
+    
+end
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