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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9
votes
1answer
240 views

How to define a custom 2/3D graphic primitive like built-in?

There are lots of basic graphic-pimitive in Mathematica, such as 2D- pimitive: Line[], Circle[], Disk[] and 3D-pimitive: ...
1
vote
1answer
49 views

BSplineFunction defies numerical solution

I am trying to find an intersection between a straight line and a BSpline. The lines: ...
7
votes
0answers
106 views

Color Snapping When Using VertexColors with a Tube with BSplineCurve as an Argument

I think I've identified a bug in how VertexColors are treated when rendering a Tube object where the underlying data is a ...
6
votes
0answers
64 views

Artefact at joints within BSplineCurve of low Opacity

I want to eliminate the dots of higher opacity that occur at the joints within a BSplineCurve of low opacity. Small rectangles of greater opacity, shown below, ...
4
votes
0answers
471 views

Cubic polynomial interpolation with velocities listed rather than some points

I am trying to use the function BSplineFunction[] to create a natural cubic spline. Normally what is done is that you specify "SplineDegree -> 3" and include a list of points and it will carry out ...
3
votes
0answers
490 views

How to make 3D object smooth?

This thread considers mathematical methods here to make the 3D object smooth but this question consider how to achieve the goal of smoothing a 3D object in Mathematica. I want to get smoother ...
2
votes
0answers
207 views

Exporting BSplineSurface to STL

I have encountered some difficulties getting BSplineSurface to export to STL. The following code works and generates a triangulated polygon mesh from the NURBS ...
1
vote
0answers
47 views

Extracting control points from BezierFunction

given a Bézier surface, is there a simple way to express $g_{12}$ (from the First fundamental form) again in Bézier form? More precisely, I have control points and a Bézier function $f$: ...
0
votes
0answers
82 views

Problem with BSplineCurve 3D

I have a problem using the function BSplineCurve [ ] . I have to represent a line passing through about 3000 points in 3D. I managed to plot the points separately, but when I use the 3D BSplineCurve []...
0
votes
0answers
52 views

Working with Piecewise functions - Hexsplines

I'm trying to use the convolution definition of hexsplines, that is, a hexspline is the convolution of the indicator function of a hexagon (of sidelength 1 and centre $(0,0)$ ) with itself. I'm ...