Re: [Fwd: table model updates [corrected]]

Tarek -
Martin should really address this, as the original author,
but he's out of the office for a while.

I guess it's obvious that a point (x1,x2,x3, ...) will need
to be extrapolated if x1 > x1max or x1 < x1min (or x2 > x2max,
etc.)

But a more interesting case (and probably what you were
asking about) would be something like the following.
Suppose we have data

# example.tbl
# x y f
  0 0 0
  1 0 1
  1 1 2
  2 0 4
  2 1 5
  2 2 8
  
and the input point is (0.5,1.5) -- namely above the line x=y,
whereas all the data is below that line. In this case, we have
data points on both sides of the input point in both dimensions
considered separately, but yet the point is "outside" the domain
of data.

-Geoffrey

> Please I need to ask about extrapolation of data for more than 1D
> case.
> I think that for 1D case it's simple that if (Xin>Xmax) or
> (Xin<Xmin) then Xin should be treated as a point needing
> extrapolation.
> But, for higher dimensions & given that the
> data is scattered, how mathematically is a point defined as
> needing extrapolation?
>
> Thanks,
> Best Regards,
> Tarek
Received on Thu Aug 5 12:42:33 2004