The use of the verb "remind" : with the preposition "of" and without.
I noticed this verb unfollowed by the preposition of. Therefore "remind" can be a direct verb up to the context. When I mean the resemblance I use it as a direct verb: your smile remindes me the smile of the person whom I want to marry someday. When I mean just a memory I use this verb followed by the preposition of: you don t need to remind me of the matter, I ll solve it ASAP. But I heard anather sentense: you remind me of a star (super star, a model). Is this correct too?

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I remember that "remind" should be used with pre "to". And to make sure, I have checked the dictionary. There are 2 cases of using remind:
1st ist "remind sb of/about sth": you help sb remmeber sth
2nd ist "remind sb (you) of sth/sb": you are made to think about sb/sth as they are similar in some way. 
I hope it'll help you :-)

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"You remind me of a star." is correct too.

لا تفوّت فرصة تعلّم لغة جديدة وأنت مرتاح في منزلك. تصفّح مجموعتنا المختارة من مدرّسي اللغات ذوي الخبرة وسجّل في درسك الأول الآن!