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Apr 7, 2014 at 17:40 comment added Lucy Thank you, Peter. Using space-filling-curve transform preserves the information of $f$, but loses the "geographical" information of $\mathbf{x}$, in another word, at which point(s) $\mathbf{x}$ does$f$ have a certain value. This causes problems when reconstructing $f$ from $Tf$.
Apr 7, 2014 at 15:38 history answered Peter Michor CC BY-SA 3.0