How can I solve Image matrix homography?











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I have a problem. I couldn't understand this question. I know homography formula. I implemented this formula for zero level of first image pyramid but I couldn't get second image pyramid points at zero level.



Can you explain this question



The following is a list of points on an image pyramid P and another list of points on another image pyramid P’.



Points on P



Point  x    y     level
A 16 64 0
B 4 10 1
C 16 4 2
D 20 8 0
E 8 4 2
F 8 16 1


Points on P’



Point  x    y     level
G 84 142 0
H 9 16 2
I 77 37 1
J 54 92 0
K 22 41 1


(x,y) coordinates are measured in the image with the given level. Level 0 is the largest image in the pyramid with width/height of each level k+1 equal to the half of the width/height of level k. If the two image pyramids are related by the homography matrix H at level 0.



begin{bmatrix}0.5&2&20\2&0.5&10\0&0&1end{bmatrix}



find which points are corresponding to each other with the relation p’ ≡ Hp










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    up vote
    0
    down vote

    favorite












    I have a problem. I couldn't understand this question. I know homography formula. I implemented this formula for zero level of first image pyramid but I couldn't get second image pyramid points at zero level.



    Can you explain this question



    The following is a list of points on an image pyramid P and another list of points on another image pyramid P’.



    Points on P



    Point  x    y     level
    A 16 64 0
    B 4 10 1
    C 16 4 2
    D 20 8 0
    E 8 4 2
    F 8 16 1


    Points on P’



    Point  x    y     level
    G 84 142 0
    H 9 16 2
    I 77 37 1
    J 54 92 0
    K 22 41 1


    (x,y) coordinates are measured in the image with the given level. Level 0 is the largest image in the pyramid with width/height of each level k+1 equal to the half of the width/height of level k. If the two image pyramids are related by the homography matrix H at level 0.



    begin{bmatrix}0.5&2&20\2&0.5&10\0&0&1end{bmatrix}



    find which points are corresponding to each other with the relation p’ ≡ Hp










    share|cite|improve this question
























      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      I have a problem. I couldn't understand this question. I know homography formula. I implemented this formula for zero level of first image pyramid but I couldn't get second image pyramid points at zero level.



      Can you explain this question



      The following is a list of points on an image pyramid P and another list of points on another image pyramid P’.



      Points on P



      Point  x    y     level
      A 16 64 0
      B 4 10 1
      C 16 4 2
      D 20 8 0
      E 8 4 2
      F 8 16 1


      Points on P’



      Point  x    y     level
      G 84 142 0
      H 9 16 2
      I 77 37 1
      J 54 92 0
      K 22 41 1


      (x,y) coordinates are measured in the image with the given level. Level 0 is the largest image in the pyramid with width/height of each level k+1 equal to the half of the width/height of level k. If the two image pyramids are related by the homography matrix H at level 0.



      begin{bmatrix}0.5&2&20\2&0.5&10\0&0&1end{bmatrix}



      find which points are corresponding to each other with the relation p’ ≡ Hp










      share|cite|improve this question













      I have a problem. I couldn't understand this question. I know homography formula. I implemented this formula for zero level of first image pyramid but I couldn't get second image pyramid points at zero level.



      Can you explain this question



      The following is a list of points on an image pyramid P and another list of points on another image pyramid P’.



      Points on P



      Point  x    y     level
      A 16 64 0
      B 4 10 1
      C 16 4 2
      D 20 8 0
      E 8 4 2
      F 8 16 1


      Points on P’



      Point  x    y     level
      G 84 142 0
      H 9 16 2
      I 77 37 1
      J 54 92 0
      K 22 41 1


      (x,y) coordinates are measured in the image with the given level. Level 0 is the largest image in the pyramid with width/height of each level k+1 equal to the half of the width/height of level k. If the two image pyramids are related by the homography matrix H at level 0.



      begin{bmatrix}0.5&2&20\2&0.5&10\0&0&1end{bmatrix}



      find which points are corresponding to each other with the relation p’ ≡ Hp







      image-processing






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      share|cite|improve this question











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      share|cite|improve this question










      asked Nov 22 at 18:51









      Süleyman Bilgin

      11




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