Questions tagged [curve]
32 questions
7
votes
1 answer
Algorithms for scan converting b-spline and nurbs
In all computer graphics books there are algorithms for scan converting simple primitives like lines, circles, ellipse,...
I can't find algorithms for more advanced curves like bezier curves, b-spline, nurbs.
Where can I find the references ?
I have…
Valerio
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4
votes
1 answer
Conversion from cubic catmull-rom spline to cubic b-spline
I have a bunch of points that are the control vertices of a cubic catmull-rom spline. I would like to convert these to the control vertices of a cubic bspline.
I believe I can do this using this following relation:
$\boldsymbol{t} *…
sriravic
- 126
- 2
3
votes
1 answer
Non least squares formulation to fit catmull rom spline
I have a set of unordered points that I'm getting from an image attached. I'd like to simply fit a parametrized curve such as a catmull-rom curve to with n control points (n = 4 to 10, and can be assumed to be known).
I've explored ways of doing…
dev_nut
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- 3
2
votes
2 answers
Why cubic curves provide the minimum curvature interpolants?
As described by Shirley in his computer graphics book,
Cubic curves provide the minimum-curvature interpolants to a set of points. That is, if you have a set of n + 3 points and define the “smoothest” curve that passes through them (that is the…
8cold8hot
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1
vote
0 answers
How should I generate Kochanek-Bartels spline endpoints?
I'm working on a program which uses Kochanek-Bartels ("TCB") splines.
My question is: How do I deal with the first/last points of the spline?
This type of spline needs a 'previous' and 'next' point at each node to generate the curve tangents, but…
Chifti Saidi
- 186
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1
vote
0 answers
Curves fairness
Curves fairness is a strange problem in Computer Aided Geometric Design and every author gives his personal definition.
One of the simplest is the following:
A curve is said to be fair if
(1) it is G2 continuous,
(2) it has no undesirable inflection…
Valerio
- 433
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1
vote
1 answer
How to take the derivative of a Bézier curve?
I want to know how to take the derivative of a Bézier curve. I visited this website https://pages.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/Bezier/bezier-der.html, but I am unable to figure out how they did it. Please help!
anuj goyal
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