Where do you draw the line between love and obsession?

Jean-Marie_Céline
Where do you draw the line between love and obsession?
My fiancée admitted that sometimes she can a be a bit "obsessed", while I never get to that point although I do care a lot.
I honestly think that the main difference between love and obsession is when someone stops seeing the person they claim to love as a person and see them as an object need to for them to feel fulfilled.
What about you?
Where do you draw the line between love and obsession?
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