Effects of Derivative Accuracy on Smooth Surface Interpolation


Exploration of the effects of setting various degrees of partial derivatives to an arbitrary and likely incorrect value, 0.

Correct derivatives per vertex:

1st-5th

1st-4th

1st-3rd

1st-2nd

1st

None



Quick look at interaction of surface degree, continuity, and derivative accuracy.

  C0 C2
Degree 9
All Derivatives 0
Degree 9
4th-9th Derivatives 0
Degree 5
Same Derivatives as above*
* This is more derivatives than required for the interpolation technique for degree 5.