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Polygon "Fixing" Algorithm

Hello there! I bring you a maybe complex question which i would love your help with. Allow me to go straight to the point:

I desire an algorithm or logic in which i draw a shape using my mouse (for example a square) and it becomes a perfect square, with all the 4 sides in straight lines and perfectly regular. A human-drawn square is hardly perfect, but i wish that after it goes through the "filter" of this algorithm ,it becomes such.

A fine example of what i wish is in the game Trine, where the Wizard works by a similar principle: You draw a shape in the screen and it becomes the closest shape, that is, if you draw something similar to a square it becomes a perfect square box, but if you draw a triangle it becomes a perfect triangular box. Its like it detects what kind of shape it is and then draws a better version of it.

I want this for a game, just so you know what is the goal of all this.

Please help me figure out either the algorithm or logic behind this, or at least tell me what is the name of this kind of action (:

P.S. i added a simple image so it becomes even more clear what i intend =)

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Re: Polygon "Fixing" Algorithm

You should search the web for mouse gesture recognition or detection. If you provide some code or even some pseudo-code, I am sure you will get come feed-back from people.