1984
DOI: 10.1145/964965.808600
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Summed-area tables for texture mapping

Abstract: Texture-map computations can be made tractable through use of precalculated tables which allow computational costs independent of the texture density. The first example of this technique, the “mip” map, uses a set of tables containing successively lower-resolution representations filtered down from the discrete texture function. An alternative method using a single table of values representing the integral over the texture function rather than the function itself may yield superior results at similar cost. The… Show more

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Cited by 651 publications
(227 citation statements)
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“…It was first introduced to the computer graphics field in [53] to be used in mipmaps. Viola-Jones face detector applied the integral image for rapid computation of Haar-like features, as detailed below.…”
Section: The Integral Imagementioning
confidence: 99%
“…It was first introduced to the computer graphics field in [53] to be used in mipmaps. Viola-Jones face detector applied the integral image for rapid computation of Haar-like features, as detailed below.…”
Section: The Integral Imagementioning
confidence: 99%
“…Since blocks for the p-th patch have the same number of pixels, sums of their intensities (I (B j p )) can be compared. This solution is motivated by efficient calculation of such sums using the integral image technique [3,27]. Also, the firstorder intensity gradients in the x and y directions (D x (B j p ) and D y (B j p )) are computed using Haar-like box filters and the integral image, as in SURF [3].…”
Section: Optimisation Problemmentioning
confidence: 99%
“…Summed Area Tables (SAT) were first introduced in 1984 by Crow [22]. It is possible to think of an SAT as an integral of a texture.…”
Section: Summed Area Tablesmentioning
confidence: 99%