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Results tagged with curves-and-surfaces
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user 123142
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
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 …
- 701
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 …
- 701