# Approximation of area of an image

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Holmbrero on 5 Jan 2021
Commented: Timo Dietz on 5 Jan 2021
Hi!
I want to approximate an area with a circle as in the attached image (which is manually drawn).
I have three somewhat distinct peaks in the histogram but i think the image needs to be pre-processed in order to achive a good result. I have tried to smoothen the image, opening and closing but it does not get me to where i want to be.
Any suggestions would be greatly appriciated!
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Holmbrero on 5 Jan 2021
That is exactly what i want!
The histogram is for the pixel intensity values of the whole image.

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### Answers (1)

Timo Dietz on 5 Jan 2021
Edited: Timo Dietz on 5 Jan 2021
Personally, I would try this:
1) Introduce an intensity threshold. All pixels below will be treated as 0, all above as 1.
2) Now, start from center of the image and move to the image boundary in multiple rays with different angle (0 to 360°) - like a star shape - and stop as soon as a 0-pixel is hit.
3) Collect all ray lengths. The minimum gives you the shortest distance (from center) where a void exists and thus the radius.
4) Play around with angle step / number of rays and intensity threshold to adjust processing time to needed detection coverage.
What do you think? Do you get my point?
##### 2 CommentsShow 1 older commentHide 1 older comment
Timo Dietz on 5 Jan 2021
Yes, that's in priciple similar. Maybe it's slower since you have to check much more pixels inside the circle - each time the circle radius increased.
Further, working with rays, gives you the possibility to re-center the circle afterwards pretty easy, since you know the directions.
Anyway, I think you got my point :-)
Yes, I did something like this in the past with Python. I had to find a minimum square which sourrounds a graphic in the center. It's the opposite but the same principle.

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