The image suggests interpolation outside its endpoints is rare. Given that the control points are not colinear, is interpolation possible for one of the intermediate points, or are they guaranteed for the spline to not match up with the control point?
It seems that as the order increase, the complexity of computation will increase a lot. Is this a limitation of Bspline in real practice? What would be a good number of orders?
If a higher order basis is a linearly interpolation of lower bases, why don't the weights of lower bases sum to one?
Geometrically, what does sacrificing interpolation imply in practice?
If b-spline is not interpolating the points anymore, will the keyframe concept mentioned earlier in the lecture still apply here? It seems that if the keyframes are not even met then the animation could be very weird.
In practice do people resolve the interpolation issues with B splines by just doing keyframes more often? Or is there a better way?
How does the degree affect the look of the line?
In practice how do we determine the degree or number of basis?
If B-Splines are recursive, will we also be calculating them recursively? It feels like we would need to spend a lot of time running the calculations if this is the case.
What's the general rule of thumb for determining the number of basis?
What is sacrificing interpolation?
When might it be more beneficial to have locality rather than interpolation?
How does increase and decrease of the number of control points affect the smoothness of the motion?