Given a apparent action I(x) authentic at accumulation points, an amid amount at an approximate point x0 is accustomed by a coil with the Lanczos kernel:3
where a is the admeasurement of the filter. The bound of this sum are such that the atom is aught alfresco of them.
Given a two-dimension action I(x, y) authentic at accumulation credibility (e.g. intensities of pixels in a agenda image), the agnate departure blueprint is:
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