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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" xmlns:m="http://www.w3.org/1998/Math/MathML" id="new">
  <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Astronomical Image Deconvolution</name>
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  <md:created xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">2006/12/19 15:36:10.051 US/Central</md:created>
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      <md:firstname xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Brenton</md:firstname>
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      <md:surname xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Loeffelman</md:surname>
      <md:email xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">starbuc@rice.edu</md:email>
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    <md:keyword xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Astronomy</md:keyword>
    <md:keyword xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Deconvolution</md:keyword>
    <md:keyword xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Imaging</md:keyword>
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  <md:abstract xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Rice University ELEC 301 project looking at the use of Weiner filters in the deconvolution of multiple  noisy astronomical images into a single, clean image.</md:abstract>
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    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/" id="delete_me">In the realm of image processing, one of the problems that is frequently encountered 
is the problem of deconvolution; given a noisy, blurred signal, how do we estimate and remove 
the noise and distortion and thereby obtain a clean copy of the original signal? The processes
used given a single input to the deconvolution (single-input single-output deconvolution or 
SISO-D) are well studied, and a variety of techniques have been developed to cope with this 
problem. However, the realm of multi-input single-output deconvolution (MISO-D) is still being 
explored, and new strategies are being developed for optimal deconvolution given multiple
inputs. Our goal is to use a basic SISO-D technique, the Weiner filter, applied to multi-input data
to obtain a clean copy of the orignal signal for a set of astronomical images of the globular 
cluster Messier object 3, and to show the overall strategy used in current MISO-D image processing
techniques.
</para><figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/" id="element-522"><name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">Messier Object 3</name>
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  <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:m="http://www.w3.org/1998/Math/MathML" xmlns:bib="http://bibtexml.sf.net/">A clean image of our object.</caption></figure>   
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