# Questions tagged [spline]

A smooth piecewise-defined curve formed by joining segments together, end-to-end. The segments are usually described by polynomial or rational functions. Splines are typically used for approximation or data fitting.

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### Name for non-polynomial generalization of B-splines?

(1-dimensional) Splines are functions defined over contiguous intervals delimited by knots. Between those knots, a spline is a low-degree polynomial function - but not the same function in every ...
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### Smoothing vs Regularization

I am working on inverse problem - calibration of local volatility (financial application). This inverse problem is ill-posed. The optimization algorithm takes a $\sigma$ surface as input and solves ...
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### Finding x/y translation between two parametric curves with partial overlap

I have two parametric curves $\mathbf{c}_1 = (x_1(u), y_1(u))$ and $\mathbf{c}_2 = (x_2(v), y_2(v))$ which are defined for $u,v\in[0, 1]$. Assuming one curve (say $\mathbf{c}_2$) is a translated ...
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### Constrain the first and second derivative of a cubic bezier spline connecting multiple points

I wanted to generate a cubic bezier spline which connects specified points with constraints on the first and second derivatives of the cubic spline (with first and second derivatives less than some ...