How to calculate or technique UIBezierPath control point smooth shape - ios

How to calculate or technique UIBezierPath control point smooth shape.
Each control point has to move. But its shape remains as it is.
i tried but it is not smooth
I dont know where I can get a complete algorithm or examples? Please help me out
Thank you.
ex.
Example Image

What you want is basic knowledge of bezier curves. First of all smoothness depends on whether it is a quadratic curve or cubic curve. Smoothness increases as number of control points increases.
Basic description of cubic bezier curve.
And this link will help you to control points.
Calculating control points.

I don't remember exactly from school right now, but when u want transition smooth you have to make 2 points of bezier curves same for smooth transition.

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In Manim, every curve that you generate (circles, squares, etc.) is a Bezier Curve, these curves have very special properties and are widely used in multimedia and graphic design software.
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http://img96.imageshack.us/i/skrmavbild20110424kl101.png/
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Best Regards
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