In most movies, I just don't buy the love story...

Most just talk their feelings out, which, don't get me wrong, works! but it's so much harder to earn it! 

Here is how @JimCameron takes it a step further within the context of the story with the use of POV. 1/7

Until now, Titanic has done great work establishing the "world", there is an emphasis placed on CLASS and especially on the way people are LOOKED AT and SEEN. (They are not the same thing, just ask the poets) 2/7

These things are brought to the forefront with Rose saying she doesn't feel SEEN and Jack later saying "I see you."
With HER world inherently in conflict with HIS, we finally come to these shots. 3/7

In the first, Rose is approaching Jack at the bottom of the stairs, he is small in frame, which is exactly how he feels, people walk by him, ignore him... he feels small... until he turns around and now we see how Rose sees him, LARGE IN FRAME... he is SOMEONE to her... 4/7

Cameron uses these POV shots as a way to literally put you in their shoes, to show you how ROSE and JACK see. You are JACK seeing ROSE coming down the stairs and later, You are ROSE going up to JACK. Making you an active participant in this LOVE STORY. 5/7

Which brings us to the POV shot of Jack and Rose swinging with each other. You see, Cameron doesn't want you to just be convinced that they are in love, he wants YOU, the audience, to feel like you are in love with them and that THEY are in LOVE with you. 6/7

By the end of this sequence, you might not have the answer to, "would their romance work?" but what you are feeling is as long as these two are HOLDING on to each other... "I sure hope so"

Also, the set-up of these scenes is paid off with the POV shots in the "Drawing" scene 7/7