Hi Peter
Well!!! if the point is this the things become quite difficult!!!!
If the problem is to take in to account the roughness of topography
in order to compute distances I think that with GIS technologies is possible to find an answer. Surely things become more complex if you have obstacles (like islands when interpolating oceanographic parameters). From what I remember the issue of complex geometries is covered in the field of geostatistical geomodeling.
In fact in this field you have to work with really 3d complex morphologies.
Ciao
Sebastiano T.




At 12.31 03/04/2007, Peter Bossew wrote:
Hi Sebastiano,

I think Olumide's question was, what to do if the underlying manifold is
not euclidean nor spheric or something regular of that kind. How would you
define the distance beween pairs of points on the surface of a potatoe, or
how would you lay a regular grid on a potatoe, which covers more than a
local vicinity (which can be approximated planar or spherical) ?
This is indeed by no means a trivial question, I think, well worth some
thoughts of the geostats gurus....

I remember Gregoire Dubois has once suggested non-euclidean variography
(defining distances which account for topography between the points). He
is currently on hoildays, but he may have ideas about that.

ciao, Peter



sebastiano trevisani <[EMAIL PROTECTED]> writes:
>Hi
>
>I'm not sure to understand what you mean when you say kriging on non
>planar surface.
>If you are saying that you need to interpolate on to an irregular
>grid, both GSLIB and GSTAT (and so R) permit
>you to interpolate whatever set of points.
>
>
>Bye
>Sebastiano T.
>
>At 03.14 03/04/2007, Olumide wrote:
>>Hello -
>>
>>(I'm  relatively new to the subject and to the forum.)
>>
>>Are there any methods for kriging non-planar surfaces that have no
>>natural parametrization e.g. a meteorite.
>>
>>Thanks,
>>
>>- Olumide
>>+


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