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Cropping image via matrix into doughnut shape

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Hi there,
I want to create a composite image which requires cropping multiple images into one.
For this experiment, I have taken two images with different camera filters hence one image is brighter than the other. I would like to crop a doughnut shaped at the white board for the first image, and use the center of the second image.
In theory it should look something like this,
I am required to scale the matrix of the individual pixels due to the use of different filters, hence my supervisor has told me it should be done in matrix form rather than cropping via paint or something.
Due to my limited matlab experience, I currently only know how to translate the image into matrix form, but do not to extract data from it. imread(.jpg)
Thanks in advance! Any help is appreciated.

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Image Analyst
Image Analyst il 11 Feb 2017
You need to copy and paste a specific region from one image onto another. See my attached copy and paste demos.

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