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- W2098330971 abstract "For a given planar region P its discretization on a discrete planar point set $mathcal{S}$ consists of the points from $mathcal{S}$ which fall into P. If P is bounded with a convex polygon having n vertices and the number of points from $P cap mathcal{S}$ is finite, the obtained discretization of P will be called discrete convexn-gon. In this paper we show that discrete moments having the order up to n characterize uniquely the corresponding discrete convex n-gon if the discretizing set $mathcal{S}$ is fixed. In this way, as an example, the matching of discrete convex n-gons can be done by comparing $frac{1}{2} cdot (n + 1) cdot (n + 2)$ discrete moments what can be much efficient than the comparison “point-by-point” since a digital convex n-gon can consist of an arbitrary large number of points." @default.
- W2098330971 created "2016-06-24" @default.
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- W2098330971 date "2003-01-01" @default.
- W2098330971 modified "2023-10-14" @default.
- W2098330971 title "A Characterization of Discretized Polygonal Convex Regions by Discrete Moments" @default.
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- W2098330971 doi "https://doi.org/10.1007/978-3-540-24586-5_65" @default.
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