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How to isolate an arbitrary shape from noise?

I have a program that images a footprint as shown in the left most image. Though the print varies in size and aspect ratio, the general shape is as shown. However, due to noise, I sometimes get odd appendages as shown in the two images to the right.

Any ideas, just ideas not code, on how I might go about detecting the basic footprint and getting rid of the appendages?

thanksimage description