How do I decode a Data Matrix barcode using the raw code word data?

I am working on Image Processing techniques to binarize a Data Matrix barcode image. I create a matrix of 1's and 0's. I want to be able to pass that raw data into a function to spit out the resulting code. All decoding software/algorithms must have a function for this last step so this should be easily done.

For instance, if I have this 8X18 Data Matrix Barcode (with optional zero padding)

bits = [0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;

        0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
        0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0;
        0 0 1 1 0 0 0 0 0 0 0 1 0 1 1 0 1 1 0 1 0 0;
        0 0 1 1 0 0 1 0 0 1 0 1 1 0 1 0 0 1 0 0 0 0;
        0 0 1 0 0 0 1 1 1 0 1 0 1 1 0 0 1 1 0 1 0 0;
        0 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0;
        0 0 1 0 1 0 1 1 0 1 0 0 0 0 1 0 1 0 1 1 0 0;
        0 0 1 1 1 1 0 0 1 0 1 0 1 0 0 0 0 0 1 0 0 0;
        0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0;  
        0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0;
        0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ];

DMstring = DecodeDataMatrix(bits);

This function I envision should easily be able to return the decoded string (assuming I have given a valid code):

DMstring = 0030140059