Using the newest OpenCV, is there an easy way to compute the gradient image of a specific cv::Mat?
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Assuming you are referring to the typical image gradient; you can compute these quite easily with the Sobel operator as mentioned by Chris. Have a look at the Sobel Derivatives tutorial here. You may also be interested in the Laplace operator, and its tutorial.
Here is a short snippet of computing the X and Y gradients using Sobel: