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How remove thin contour adjacent to area?

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I have image YSianrB.png

 

I must find stain point by arrow 1 and 2. First i must remove thin contours. Remove contour 4 is easy - FloodFill give me  all points of this contour. If points in contours will a few compare to rectangle bounding area - it is thin. Only problem when contour will break by white pixel.

Problem is removing contours near stains 1) and 2) which touch this area. How can I remove point in angled line and leave stains?

 

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