Re: AI-GEOSTATS: Kriging a non-planar surface lacking natural parametization

2007-04-03 Thread Olumide

Peter Bossew wrote:

I think Olumide's question was, what to do if the underlying manifold is
not euclidean nor spheric or something regular of that kind. 


Thanks for clearing up my question Peter. The object I'm interested is a 
bone, and its by no means regular or easily parameterizable. Can anyone 
suggest references I could look into?


Thanks

- Olumide


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Re: AI-GEOSTATS: Kriging a non-planar surface lacking natural parametization

2007-04-03 Thread Peter Bossew
"Edzer J. Pebesma" <[EMAIL PROTECTED]> writes:
>
>There has been some work on geostatistics on the sphere -- the 
>challenges faced here included, afaics (i) to find and use distance 
>functions, such as great circle distance, and a suitable earth model 
>(sphere or rather ellispsoid) and (ii) to find and use covariance 
>function that are positive defnite for the sphere or particular 
>ellipsoid used. The R packages fields (and recently, to some extent 
>gstat) do address some of these issues, but are constrained to be used 
>on Earth.
>I was watching Armageddon last night, and indeed the thing didn't come 
>close to a sphere or ellipsoid... great to hear someone is actually 
>worrying about kriging on meteorites. Beyond planetary geostatistics -- 
>this might be interstellar geostatistics?


hm !
If someone attempts to krige across the event horizon of a black hole,
please let the list know !
;-)
p


(sorry, not too helpful for Olumide)

>
>Could you show us a bit more how you do parameterize your particular 
>non-planar surface?
>--
>Edzer
>
>sebastiano trevisani wrote:
>> 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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Re: AI-GEOSTATS: Kriging a non-planar surface lacking natural parametization

2007-04-03 Thread sebastiano trevisani

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
>>+


-
Peter Bossew

European Commission (EC)
Joint Research Centre (JRC)
Institute for Environment and Sustainability (IES)

TP 441, Via Fermi 1
21020 Ispra (VA)
ITALY

Tel. +39 0332 78 9109
Fax. +39 0332 78 5466
Email: [EMAIL PROTECTED]

WWW: http://rem.jrc.cec.eu.int

"The views expressed are purely those of the writer and may not in any
circumstances be regarded as stating an official position of the European
Commission."




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Re: AI-GEOSTATS: Kriging a non-planar surface lacking natural parametization e.g. meteorite

2007-04-03 Thread Edzer J. Pebesma

Olumide,

There has been some work on geostatistics on the sphere -- the 
challenges faced here included, afaics (i) to find and use distance 
functions, such as great circle distance, and a suitable earth model 
(sphere or rather ellispsoid) and (ii) to find and use covariance 
function that are positive defnite for the sphere or particular 
ellipsoid used. The R packages fields (and recently, to some extent 
gstat) do address some of these issues, but are constrained to be used 
on Earth.


I was watching Armageddon last night, and indeed the thing didn't come 
close to a sphere or ellipsoid... great to hear someone is actually 
worrying about kriging on meteorites. Beyond planetary geostatistics -- 
this might be interstellar geostatistics?


Could you show us a bit more how you do parameterize your particular 
non-planar surface?

--
Edzer

sebastiano trevisani wrote:

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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Re: AI-GEOSTATS: Kriging a non-planar surface lacking natural parametization

2007-04-03 Thread Peter Bossew
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
>>+


-
Peter Bossew 

European Commission (EC) 
Joint Research Centre (JRC) 
Institute for Environment and Sustainability (IES) 

TP 441, Via Fermi 1 
21020 Ispra (VA) 
ITALY 
  
Tel. +39 0332 78 9109 
Fax. +39 0332 78 5466 
Email: [EMAIL PROTECTED] 

WWW: http://rem.jrc.cec.eu.int 
  
"The views expressed are purely those of the writer and may not in any
circumstances be regarded as stating an official position of the European
Commission."

 


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Re: AI-GEOSTATS: Kriging a non-planar surface lacking natural parametization e.g. meteorite

2007-04-03 Thread sebastiano trevisani

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
+
+ To post a message to the list, send it to ai-geostats@jrc.it
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and "unsubscribe ai-geostats" in the message body. DO NOT SEND 
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