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A surface is a generalization of a plane which needs not be flat, that is, the curvature is not necessarily zero. This is analogous to a curve generalizing a straight line

2 votes

Splines with bounded first derivative?

This is an interesting question and as @user100927 has correctly commented, a necessary condition for this to be possible is: $$\int_{x_i}^{x_{i+1}}f(x)dx ≤ y_{i+1}−y_i$$ for all $i$. To prove this c …
Iddo Hanniel's user avatar
1 vote
Accepted

General reparameterization of a B-spline

B-splines are a basis-function representation for piecwise polynomial functions. Therefore, if the reparameterization you seek cannot be represented as a piecewise polynomial it cannot, in general, be …
Iddo Hanniel's user avatar