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b-spline nurbs derivetives 6th order  

b-spline nurbs derivetives 6th order is project number 227965
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Status:

Selected Providers: SamWatkins

Budget: $30-250

Created: 02/19/2008 at 21:32 EST

Bid Count: 1

Average Bid:
$ 100

03/20/2008 at 21:32 EDT

Project Creator: schmidtjts
Employer Rating: 9.8667/109.8667/109.8667/109.8667/109.8667/109.8667/109.8667/109.8667/109.8667/109.8667/10 (15 reviews)

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Description

I need a set of code to compute a 6th order nurbs curve or possibly a b-spline will be OK.

The input is 24 control verticies that are positioned with non-uniform spacing on a 2D x-y plane.

The order of the spline is 6th.

I need to compute y position on the spline for a given x.

I also need to compute the derivatives 1st, 2nd, 3rd, 4th


Job Type
See more: 2d, code, control

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SamWatkins

 

100

1 day

02-20-2008 13:34 EST

(No Feedback Yet)

I can do this. Can I ask is this for homework at college or for some other purpose? I would write a program to calculate the polynomial coefficients of the basis functions for each segment between knots of the nurbs curve, then to compute a point on the curve given its control points, their weights, and the parameter value (the position from 0 to 1, start to end, on the curve). A nurbs curve is parametric, like i->(x,y) for i in [0,1], they do not normally factor well into an x->y sort of function/relation. But I can write numerical code to find the y values for an x value if you really need that. This would be comparatively slow. Why do you need to have an x->y function? As it is a serious application rather than homework, I have decided to increase my bid to $100, I hope that is acceptable.

help


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