How can I calculate summary of sub matrix in very large matrix ?

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I have very large matrix which can be 1000*1000,how to create fast algorithm which calculates summary of submatrix if I have upper left corner, width and height?
Thanks!

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Image Analyst
Image Analyst 2018-7-17
By "summary", I assume you mean "sum". If so, just do
subMatrix = m(topRow:topRow+height-1, leftCol:leftCol+width-1);
theSum = sum(subMatrix(:))

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