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Reconstructing curves from sets of quantized observations
Published online by Cambridge University Press: 26 February 2010
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For arbitrary f: R → R and ϒ ⊂ Z × R we define the set of quantized observations of f relative to ϒ as follows: for each integer n and each y∈R we write
(the supremum of an empty set is taken to be −∞ ) and we put
Thus for example and , where [x] (without subscript) denotes as usual the integer part of x.
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- Copyright © University College London 1995