The interpolation like Catmull-Rom Interpolation needs to pass through all the given points. In contrast, Bezier curve only needs to pass through the points at the beginning and at the end, which brings more flexibility and saves memory for computation. Furthermore, it reduces the complexity and increases the predictability of modifying the curve shape, since we only need to modify the two points from the sides.
ArjunPalkhade
If you want to learn more about the applications and beauty of Bezier curves, I find that this video helps to illustrate some of the math behind them and their use cases: https://www.youtube.com/watch?v=aVwxzDHniEw
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This is the most beautiful thing I have ever seen in this class
The interpolation like Catmull-Rom Interpolation needs to pass through all the given points. In contrast, Bezier curve only needs to pass through the points at the beginning and at the end, which brings more flexibility and saves memory for computation. Furthermore, it reduces the complexity and increases the predictability of modifying the curve shape, since we only need to modify the two points from the sides.
If you want to learn more about the applications and beauty of Bezier curves, I find that this video helps to illustrate some of the math behind them and their use cases: https://www.youtube.com/watch?v=aVwxzDHniEw
This is the most beautiful thing I have ever seen in this class