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  • From the above the difference between the two patches f(xi,yi) and g(x???i,y???i) is equal to the matrix multiplication of the two matrices on the right hand side plus the error ??i; and hence B=A??D+E where B is the difference between the two regions whose ith entry is f(xi,yi)???g(xi???,yi???), D=(a,b,c,d,e,f), ??D=(??a,??b,??c,??e,??f) and A is a matrix whose ith row is (xgx i,ygx i,gx i,xgy i,
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