Saturday, April 2, 2016

Calculation of new homography from existing homography values

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I have 4 thin pillars on the ground and I have put red dots on all the pillars above 1m, 2m and 3 meter. As in below image Sample

And the coordinates in the real world coordinates of the bottom corners (where pillars touches ground are) are A1, A2, A3, A4

And I have taken image of the above structure. And in image, the real world coordinate, red dot above 1m are mapped to I1, I2, I3, I4 in the image. Using the coordinates A1, A2, A3, A4 and I1, I2, I3, I4 I have calculated homography matrix H1

Similarly Red dot above 2m are mapped to I5, I6, I7, I8 in the image and using the points A1, A2, A3, A4 and I5, I6, I7, I8 I have calculated homography matrix H2

Similarly Red dot above 3m are mapped to I9, I10, I11, I12 in the image and using the poits A1, A2, A3, A4 and I9, I10, I11, I12 I have calculated homography matrix H3

Now Using above information, I need to find the homography matrix between A1, A2, A3, A4 and Iu1, Iu2, Iu3, Iu4, where Iu1, Iu2, Iu3, Iu4 are image coordinates(unknown) if red dots were on the pillars, 4m above the ground.

How can I find this ?

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