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How to have a contour with 4-connectivity?

Dear all,
I have a contour that shown below. Two of the corners are with 8-connectivity. Is there a way to make all the corners satisfy 4-connectivity?
Best,
Meshoo

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Meghana Dinesh 님이 편집함. 26 Nov 2015
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Fill the image ( imfill). Use bwboundaries with conn = 4.

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I was thinking if there is a direct way to restore those missing pixels. Thank you.

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