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Image problem

  1. Dec 31, 2013 #1
    1. The problem statement, all variables and given/known data
    I found that the blurred image is always presented by
    $$A=Ku+f$$, where u is the perfect image source, and the K is transformation (blurring, sampling)
    and f is the noising . The question I want to know is how can we find such K, or f when we blurred the image , for example ,using the gaussian blurring.
    In other word, I want to know how can I find K or f s.t. I can do the same effect as using the
    imnoise function in matlab as gaussian blurring or ...


    2. Relevant equations
    I found that there are matrix related to it, where the matrix is given by h=fspecial('gaussian',256);
    and it is all zeros.


    3. The attempt at a solution
     
  2. jcsd
  3. Jan 1, 2014 #2

    Simon Bridge

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    It's an inverse problem ... you need to use some regularization approach.
    http://home.comcast.net/~szemengtan/InverseProblems/chap3.pdf [Broken]
     
    Last edited by a moderator: May 6, 2017
  4. Jan 1, 2014 #3
    um,, I just want to know how can I find such K and f...
    Thanks you.:)
     
  5. Jan 2, 2014 #4

    Simon Bridge

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    And I told you - use a regularization technique.
    I'm not going to write out the 10-20 pages of theory here - hence the link.
     
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