🚀 go-pugleaf

In article <1992Oct29.203756.9132@noose.ecn.purdue.edu> mccauley@ecn.purdue.edu (Darrell McCauley) writes:
>I'm looking for some feedback on a problem that I am working on.  It
>is basically an interpolation problem in which I would like to use
>image reconstruction techniques (or anything similar that is relatively
>fast and non-interactive, e.g., thin plate splines). The catch is
>that I do not have ground truth or an underlying model.
>
>I have data (a soil property) on a non-uniform grid for an area of a
>
>Does anyone have any references that present an overview of image
>reconstruction from irregular sampling? The only ones that I have
>found make an assumption of band-limited images. I suppose what I'm
>looking for are methods which do not make very strict assumptions like
>this.

If you want to get a unique mapping from your samples to a continuous
surface, then you must make some assumptions that are as restrictive as
bandlimitedness.  Bandlimitedness may or may not be the best assumption
in your case, but it at least guarantees a one-to-one correspondence
between the samples and the continuous surface.  There are certainly
other options that would use different basis functions and still 
guarantee uniqueness, but I don't think the theory would be nearly as
well-developed.


--
Stan Reeves
Auburn University, Department of Electrical Engineering, Auburn, AL  36849
INTERNET: sjreeves@eng.auburn.edu