# Contact Information

 Laurent Perrinet - Team NeOpTo Institut de Neurosciences de la Timone UMR 7289 Aix Marseille Université, CNRS, 13385 cedex 5, Marseille, France Researcher https://laurentperrinet.github.io/
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 Email Address Institut de Neurosciences de la Timone (UMR 7289) Aix Marseille Université, CNRS Faculté de Médecine - Bâtiment Neurosciences 27, Bd Jean Moulin 13385 Marseille Cedex 05 France Phone +33.491 324 044
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 Figure 2: The Golden Laplacian Pyramid. To represent the edges of the image at different levels, we may use a simple recursive approach constructing progressively a set of images of decreasing sizes, from a base to the summit of a pyramid. Using simple down-scaling and up-scaling operators we may approximate well a Laplacian operator. This is represented here by stacking images on a Golden Rectangle, that is where the aspect ratio is the golden section $\phi \eqdef \frac{1+\sqrt{5}}{2}$. We present here the base image on the left and the successive levels of the pyramid in a clockwise fashion (for clarity, we stopped at level $8$). Note that here we also use $\phi^2$ (that is $\phi+1$) as the down-scaling factor so that the resolution of the pyramid images correspond across scales. Note at last that coefficient are very kurtotic: most are near zero, the distribution of coefficients has long tails.

"The supreme goal of all theory is to make the irreducible basic elements as simple and as few as possible without having to surrender the adequate representation of a single datum of experience" often paraphrased as "Theories should be as simple as possible, but no simpler." Albert Einstein (1933)

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