A function is said to be C1 continuous if it is continuously differentiable, meaning its first derivative exists and is continuous over its entire domain. Essentially this means that the function's graph has no sharp corners, breaks, etc, and that its slope changes without abrupt jumps.
grafour
How do we determine which type of interpolation to use in what scenario? What are some pros and cons?
AbhiAlderman
I don't quick understand why we couldn't just use the Cubic Hermite Interpolation from the start? I first thought that the Catmull-Rom interpretation was useful because it was computationally less intensive and also easier to implement, so we could use it when we don't need too much precision. But it seems we end up using Cubic Hermite Interpolation anyways? This part confused me, I don't quite understand why we need these different interpretations.
A function is said to be C1 continuous if it is continuously differentiable, meaning its first derivative exists and is continuous over its entire domain. Essentially this means that the function's graph has no sharp corners, breaks, etc, and that its slope changes without abrupt jumps.
How do we determine which type of interpolation to use in what scenario? What are some pros and cons?
I don't quick understand why we couldn't just use the Cubic Hermite Interpolation from the start? I first thought that the Catmull-Rom interpretation was useful because it was computationally less intensive and also easier to implement, so we could use it when we don't need too much precision. But it seems we end up using Cubic Hermite Interpolation anyways? This part confused me, I don't quite understand why we need these different interpretations.