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A fourth-order seven-point cubature on regular hexagons
Published online by Cambridge University Press: 01 April 2016
Abstract
We investigate the central moments of (regular) hexagons and derive accordingly a discrete approximation to definite integrals on hexagons. The seven-point cubature rule makes use of interior and neighbor center nodes, and is of fourth order by construction. The result is expected to be useful in two-dimensional (open-field) applications of integral equations or image processing.
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- © The Author(s) 2016