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I want to understand geometric Bezier splines. I have basically no advanced maths but am willing to learn. Can anybody suggest a good starting point for a complete beginner to start learning what I need to know to understand how splines are constructed?

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I recommend these on-line notes.

I agree that Farin's book is very good.

A more elementary one is this one by Mortenson.

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A very good book on the subject is Curves and Surfaces for CAGD - A Practical Guide by Gerald Farin. The presentation is very instructive and requires very little advanced mathematics.

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