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improve circle detection with a priori information?

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Matlabber 1.0
Matlabber 1.0 2018-1-31
关闭： John D'Errico 2018-1-31
Dear all, for my work i have some circle detection going. most of the time it works, but I ask myself if i could improve the results by using a-priori information of the location of the circles. Here is one image (i have 1000's) where i need to find the 4 circle centers:
using imfindcircles() with a few parameter tweaks and a black white converted image, i find the red circles:
the ideal locations are marked green. obviously the upper two circles are more or less correct, but the bottom two are grossly wrong. Now I do know that the four circle centers form a square of known size which is centered at the symmetry point in the middle of the image.
How can i use this informatino to improve my ciclre finding? Thanks!

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