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Can we calculate Covariance From 2d Wavelet coefficents??

To: s-news@wubios.wustl.edu
Subject: Can we calculate Covariance From 2d Wavelet coefficents??
From: Prabhakar Reddy Gudla Venkata Siva <reddyg@Glue.umd.edu>
Date: Mon, 11 Dec 2000 05:43:14 -0500 (EST)
In-reply-to: <Pine.GSO.4.05.10010102206120.8898-100000@auk.stats>
Hi list,

Here is the question:-

Say, i have an soils image ( 64x64 pixels) and i have the permeability
values at each pixel. We can easily calculate the variogram and also the
covariogram for this image ( i have done this by converting the image to a
vector). Now what i intend to investigate is, if we do a DWT ( in 2d) on
the same image using "HAAR" wavelets ( i have choosen this particular
wavelet for simplicity of analysis ) can we somehow try to reproduce the
covariogram/variogram (atleast approximately) from the coefficients of the
DWT?? 

I read something called SCALOGRAMS recently( "Analysis and Elucidation of
soils variation using wavelets" by R.M.Lark and R.Webster, European
Journal of Soil Science, June 1999, Vol 50, 185-206). And apart from
the above cited paper, there seems to be few articles which refer to
"Wavelet Variance" . So is there any way one could calculate the variogram
atleast approximately from the coefficients of 2D DWT???

Any suggestions would be of great help.

regards

reddy

***********************----------------------**********************************

GVS Prabhakar Reddy
Graduate Research Assistant 
Biological Resources Engineering(ENBE) 


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email:reddyg@glue.umd.edu;reddyg@wam.umd.edu;reddyg@runoff.umd.edu

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