Lecture 7: Intro to Geometry, Splines, and Bezier Curves (54)
melodysifry
It was mentioned here in lecture that we choose to use cubic hermite firstly because we needed four degrees of freedom when we have 4 inputs, and that theoretically if we had more inputs we could choose a higher degree function for interpolation, but that typically cubic works better and gives you more control than using a higher degree function. I'm a little confused by what that means in practice- does that mean that if we needed a curve that would fit more values / points, that we should use a chain of cubic hermite interpolations?
It was mentioned here in lecture that we choose to use cubic hermite firstly because we needed four degrees of freedom when we have 4 inputs, and that theoretically if we had more inputs we could choose a higher degree function for interpolation, but that typically cubic works better and gives you more control than using a higher degree function. I'm a little confused by what that means in practice- does that mean that if we needed a curve that would fit more values / points, that we should use a chain of cubic hermite interpolations?