MATLAB: How to obtain rms error

image registration and rms error

Please tell me how to calculate the rms error in image registration?

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Wouldn't it just go like this

difference = single(image1) - single(image2);
squaredError = difference .^ 2;
meanSquaredError = sum(squaredError(:)) / numel(image1);
rmsError = sqrt(meanSquaredError);

Of course you could compact that all into one line if you want.

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MATLAB: RMSE between two variables

‘RMSE’ of course means ‘root mean squared error’, or the square root of the mean of the squared error.

The simplest code for this is then:

V1 = rand(10,1);
V2 = rand(10,1);
RMSE = sqrt(mean((V1-V2).^2));

where the error is (V1-V2), and ‘.^2’ denotes element-wise squaring of the error (the difference between ‘V1’ and ‘V2’). The rest of the expression takes the mean of the squared differences, and sqrt takes the square root, completing the definition.

See: Array vs. Matrix Operations (link) and Vectorization (link) for more information.

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