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If the objects you want to remove are literally only several pixels large, than simply apply erosion and dilation morphological operators. The will yield better results if a far simpler way.

• By erosion you cut of 1 layer of pixels of all blobs
• Dilation then adds again 1 layer of pixels onto all blobs

If you perform enough erosion for small blobs to disappear, you can easily reconstruct the larger ones with a followed dilation operator.