Seems like all the algorithms in this lecture were approximating ones, not interpolating? Would love if someone could confirm. What are some interpolation algorithms? When might one use one or the other?

elizabethyli

I think all the ones covered in this lecture have been approximating, seems like an approximating subdivision algorithm is allowed to move around the original vertices, while an interpolating one will not. Using an approximating algorithm usually ends up with a smoother surface, but an interpolating one gives more control over the outcome.

Seems like all the algorithms in this lecture were approximating ones, not interpolating? Would love if someone could confirm. What are some interpolation algorithms? When might one use one or the other?

I think all the ones covered in this lecture have been approximating, seems like an approximating subdivision algorithm is allowed to move around the original vertices, while an interpolating one will not. Using an approximating algorithm usually ends up with a smoother surface, but an interpolating one gives more control over the outcome.