I'm not very clear what you are trying to say. Are you saying that you don't know whether the other person will like the picture? Are you asking them if it's OK for you to post the picture on Facebook?
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mudclayI took a picture of yours while you were sleeping. I want to post this on Facebook and share it with our friends but I am not sure if you will like it or not.I would say "I took a picture of you" rather than "of yours". The latter could possibly be misunderstood.