# Questions tagged [splines]

Questions on the spline-related functions of Mathematica (BezierCurve[], BSplineCurve[], etc.), or related to the theory and use of splines in Mathematica.

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### Convert interpolating function to a Bezier curve

I've been wondering, is there a way to convert an interpolation into a sequence of BezierCurve objects that form each step in the interpolation? There is an easy ...
1 vote
83 views

### Recurrence relation for B-spline polynomials

I am trying to get the explicit polynomials of cardinal B-splines. So far I have this implementation (for cardial B-splines of degree 3 on the knots 0, 1, 2, 3): ...
1 vote
77 views

### How does Mathematica's B-Spline NURBS work?

I'm finding that Mathematica is getting hung up on a numerical integration and I suspect I can do it faster myself in C++. I can scoop the control points of the BSplineFunction out of the ...
208 views

### Geogebra spline command in Mathematica

Spline(pts, order, Weight Function) Creates a spline with given order through all points. The weight function says what should be the difference of t values for point $P_i$ and $P_{(i+1)}$ given ...
112 views

### Understanding Interpolation with Cubic Splines

My ultimate question: given data, what function is Interpolation with Method->"Spline" creating? I recall from my ...
1 vote
93 views

### Is task to find intersections of a line and a cubic Bezier curve really so hard?

I wrote formulas for parametric Bezier curves of different orders ...
146 views

191 views

### How to reproduce old SplineFit function? [duplicate]

Prior to version 8, Mathematica included a SplineFit function that could be used, for example, in the form: ...
873 views

### Integrate an Interpolating function with Integrate command

i'm trying to integrate an Interpolating function, as simple as this ...
78 views

### Questions about higher order Bézier Curves

I can generate the same Bézier Curve using my own code as the curve generated by Mathematica's function BezierCurve, but when I increased the order of the curve, it ...
374 views

### How to generate a Bézier curve using 4 points（arbitrary), without using the built-in function of Mathematica?

How to generate a Bézier curve using 4 points（arbitrary), without using the built-in function of Mathematica? The main point is that we do not use the built-in function in Mathematica, instead use a ...
243 views

### BezierCurve is different from BezierFunction

I am constructing Naca type profiles with Bezier curves. ...
225 views

### Integrating an interpolating function: Hermite vs. BSpline

I have an interpolation through a list of points, which I need to integrate. The minimal working example looks as follows: ...
138 views

### How to write the code for a general B-spline function?

I write the code for B-spline basis and it works very nicely but now I need help to write code for general B-spline functions I would like the code to show the spline segment in this way:
954 views

### Generate a smooth random function (2D curve) with endpoints specification?

Here is a PDE example, adapted from Wolfram Documentation: ...
117 views

### The actual polynomial behind a BezierFunction [duplicate]

Let's say I have the following Mathematica code pts = {{0, 0}, {1, 1}, {2, -1}, {3, 0}}; F = BezierFunction[pts] How can I find the actual polynomial of the <...