EMD vs EMDL1: who is right?

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Hello all,

EMD and EMDL1 seem to provide different values for the same signatures. Can anybody explain? You can find my code below.

Thanks!

int main(int argc, char** argv)
{

    //make signature  
    Mat sig1(4, 3, CV_32FC1);
    Mat sig2(4, 3, CV_32FC1);

    sig1.at< float>(0, 0) = 0.5;
    sig1.at< float>(0, 1) = 0;
    sig1.at< float>(0, 2) = 0;

    sig1.at< float>(1, 0) = 0.5;
    sig1.at< float>(1, 1) = 1;
    sig1.at< float>(1, 2) = 1;

    sig1.at< float>(2, 0) = 0.0;
    sig1.at< float>(2, 1) = 1;
    sig1.at< float>(2, 2) = 0;

    sig1.at< float>(3, 0) = 0.0;
    sig1.at< float>(3, 1) = 0;
    sig1.at< float>(3, 2) = 1; 


    sig2.at< float>(0, 0) = .25;
    sig2.at< float>(0, 1) = 0;
    sig2.at< float>(0, 2) = 0;

    sig2.at< float>(1, 0) = .25;
    sig2.at< float>(1, 1) = 1;
    sig2.at< float>(1, 2) = 1;

    sig2.at< float>(2, 0) = .25;
    sig2.at< float>(2, 1) = 1;
    sig2.at< float>(2, 2) = 0;

    sig2.at< float>(3, 0) = .25;
    sig2.at< float>(3, 1) = 0;
    sig2.at< float>(3, 2) = 1; 

    float emd = cv::EMD(sig1, sig2, CV_DIST_L1); //emd 0 is best matching.   
    printf("similarity emd %5.5f %%\n", (1 - emd) * 100);

    emd = cv::EMDL1(sig1, sig2); //emd 0 is best matching.   
    printf("similarity emd L1 %5.5f %%\n", (1 - emd) * 100);

    waitKey(0); // Wait for a keystroke in the window
    return 0;
}