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- W2057635633 abstract "We consider the graphs of functions representable in the form h(x) = Σj=1najfj(x) where the fj constitute a linearly independent set of functions over R. These graphs are digitized by the set of lattice points (i, ⌊h(i)⌋). An algorithm is presented to determine if a given set of lattice points is part of such a digitization. We also study the digitization of polynomials. An important tool used is the set of differences of the y-coordinates (digital derivatives). For example, if h(x) is a polynomial of degree n, then its n-th digital derivative is cyclic and its (n + 1)st digital derivative has a bound which depends only on n." @default.
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- W2057635633 date "1987-03-01" @default.
- W2057635633 modified "2023-10-17" @default.
- W2057635633 title "Recognition and characterization of digitized curves" @default.
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- W2057635633 doi "https://doi.org/10.1016/0167-8655(87)90065-1" @default.
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