# Tagged Questions

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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### non parametric bsplines

As you know bspline functions are parametric. I used chord length method to approximate 2 dimentional (x,y) data. I have a problem, as bspline functions are parametric (t) in nature, they need a ...
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### Compute Fourier coefficients of spline fit to data

Suppose you have data $$\{(x_i, -1^{i+1})\}_{1\dots N}, \quad x_1=0<x_i<x_{i+1}<x_N=2\pi \ \forall i \in\{2,\dots N-1\}$$ In other words, we have a sequence of $y=\pm1$ values at distinct ...
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### Interpolating data points using a closed B-Spline with nonuniform knot vector

I want to create B-Splines which interpolate a set of given data points (knot points). The data points either describe a closed curve or an open & clamped curve. My main source is this website. ...
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### How do I calculate this loop spline given the length, angle and horizontal offset?

I'm developing a formula to calculate a loop spline from a length, angle and horizontal offset. I can successfully calculate the loop from the first two parameters, but taking the horizontal offset ...
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### B-spline for function with expanding support

In a nutshell my problem is as follows: I have some sampled data for a function $F$ and I want to estimate $F$ by fitting a tensor product B-spline. Additionally, I have a partial derivative ...
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### Curve-fitting using circles

I'm working for a firm, who can only use straight lines and (parts of) circles. Now I would like to do the following: imagine a square of size $5\times5$. I would like to expand it with $2$ in the $x$...