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Lecture 8: Meshes and Geometry Processing (42)
zsano1

What does 1,2 mean?

moridin22

C^1 continuity means that the first derivative is continuous (e.g. not the absolute value function), where C^2 continuity means that the second derivative is continuous.

x-fa19

Just tacking on to the above answer: Continuity is generally associated with smoothness. So C^0 means that a curve or surface is continuous and has no gaps, but may have some sharp bends. C^1 continuity means that the equation associated with the curve or surface exhibits first derivative continuity. C^2 is the same as C^1, except second derivative continuity.

mnicoletti15

So what is the exact statement here? Sorry I am a bit out of context probably. But which object are we saying is C^1 / C^2 continuous?

mnicoletti15

After listening to lecture it seems to be that "in the limit the mesh converges to a C1/C2 surface". Is this correct?

Staffpsmanohar

Yup thats correct.

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