Generalize this result in two dimensions

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Consider a linear filter whose impulse response is the second derivative of the Gaussian kernel exp( -x 2/2a 2). Show that, regardless of the value of a, the response of this filter to an edge modeled by a step function, is a signal whose zero-crossing is at the location of the edge. Generalize this result in two dimensions by considering the Laplacian of the Gaussian kernel exp[ - (x2 + y2)2σ2

Reference no: EM131325748

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