I have an image, which is a rectangular array of pixel values. I have the Laplacian of the image, which is computed as $\Delta I = I_{xx} + I_{yy}$ where $I_{xx},I_{yy}$ refer to the second derivatives of the image in the x and y directions respectively. The image derivatives are computed as: $I_{x}(i,j) = I(i+1,j) - I(i,j)$
$I_{y}(i,j) = I(i,j+1)-I(i,j)$
I am trying to obtain the original image $I$. Is this possible? What information is needed (in addition to the Laplacian of the image)?