0
votes
1answer
32 views

What are some alternative ways of describing n-dimensional surfaces using control points other than Bezier surfaces?

I'm interested in problems involving geometric constraints and curve subdivision. I noticed that most of these problems describe the curves/surfaces using the Bezier form. I wanted to know if there ...
0
votes
0answers
37 views

Spline interpolation problem akin to Bezier spline

Given three pairwise distinct points $p_1, p_2, p_3 \in \mathbb{R}^2$, I'd like to find a function $f: \mathbb{R} \to \mathbb{R}^2$ with at least $f \in C^1$ such that $f(0) = p_1, f(1) = p_3, f'(1) ...
1
vote
1answer
97 views

How to calculate and curved line from given parameters.

Given the distance from the start to the end of an arc $d$, the maximum height of the arc $h$ and some control point to define the type of curve $c$ How might one calculate points on a curve? E.G. ...
1
vote
2answers
129 views

What's the best way to calculate all of the points for a curve given only a few points?

I've been reading up on curves, polynomials, splines, knots, etc., and I could definitely use some help. (I'm writing open source code, if that makes a difference.) Given two end points and any ...
1
vote
1answer
591 views

Convert a B-Spline into Bezier curves

I have a B-Spline curve. I have all the knots, and the x,y coordinates of the Control Points. I need to convert the B-Spline curve into Bezier curves. My end goal is to be able to draw the shape on ...
0
votes
1answer
824 views

Is it possible to convert a B-Spline into a Bezier curve?

If so, do I lose any feature of the curve?
0
votes
1answer
194 views

B-spline curve fitting with conditions on derivatives

I have 5 data points. I'm trying to make a b-spline that passes through these points. At each data point I also have a derivative. The b-spline must meet this condition. Anyone that has an idea of how ...
1
vote
1answer
291 views

Finding the mid-point of a B-spline curve.

As part of my computer graphics, we've learnt about Bezier and B-spline curves. I'm going over some questions in preparation for my exam and I've come across a past exam question. The question is "A ...
1
vote
0answers
26 views

Is it possible to change a piece of curve's interpolation type of a B-Spline via modifying knots?

I am going to implement a curve editor based on (cubic) B-Spline. Sometime the user may change a piece of curve's interpolation type, that is, use linear/constant value between two consecutive ...
3
votes
1answer
687 views

Bézier approximation of archimedes spiral?

As part of an iOS app I’m making, I want to draw a decent approximation of an Archimedes spiral. The drawing library I’m using (CGPath in Quartz 2D, which is C-based) supports arcs as well as cubic ...