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As it is mentioned in a paper for SURF, it is possible to approximate hessian determinant using integral images.

If I want to implement Hessian-Laplace detector, is it feasible to also approximate Laplacian of Gaussian with the same approach?

Basically, I want to use the fast determinant of Hessian from SURF and while computing it, also get the laplacian by taking the trace of Hessian.

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