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Bicubic interpolation (for down scaling)

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I've just implemented bicubic interpolation (choosing a 4x4 grid of pixels, interpolate by a cubic polynomial 4 times horizontally, and then one to vertically) and it works good (nicer than bilinear). In Photoshop, there's something called bicubic smooth and bicubic sharp..whats the difference between those and regular bicubic? Altså, Photoshop uses bicubic interpolation to scale down images. But how does this work, I thought bicubic interpolation was used for magnification? I mean, using only 4x4 pixels when making an image smaller, then perhaps I won't use all pixels in the original image?

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