# Basic B-spline Curve for a Dummy?

1. Jul 19, 2013

### vee6

What first thing I should do to solve the function of a basic open b-spline curve where the coordinate of its control points are such as written below?

x1,y1 = 0,0
x2,y2 = 1,3
x3,y3 = 3,5
x4,y4 = 5,6
x5,y5 = 7,5
x6,y6 = 9,3
x7,y7 = 10,0

Last edited: Jul 19, 2013
2. Jul 19, 2013

### mathman

3. Jul 20, 2013

### vee6

What is the next?

4. Jul 20, 2013

### mathman

5. Jul 30, 2013

### vee6

What is the b-spline interpolation?

6. Jul 30, 2013

### Staff: Mentor

Are you asking us to do your work for you? That's not how it works here at Physics Forums.

Did you find some references as mathman suggested? If so, do you have any questions about the process?

7. Jul 31, 2013

### vee6

No.

I am a dummy and want to learn about b-spline.

I am not working yet.

Yes I did.

However it's not b-spline but spline without "b".

It's from wikipedia.

Spline interpolation.

Please show me an easy simple example of the b-spline interpolation.

8. Jul 31, 2013

9. Aug 1, 2013

### vee6

Which one?

10. Aug 1, 2013

### Staff: Mentor

Take your pick. As for myself, I would go for the Uniform cubic b-spline.

Without knowing what your mathematical background is, it's difficult to tell what constitutes "easy" or "simple."

Last edited: Aug 1, 2013
11. Aug 27, 2013

### timthereaper

A few questions for you:

1) When you talk about "solving the function" of the B-spline, what do you mean? Are you talking curve evaluation?
2) What degree do you want the resulting B-spline curve?
3) What kind of continuity do you want between points? Do you want C0? C1? C2?
4) What interval do you want to the resulting B-spline curve to have? [0,1] or something else?

12. Aug 28, 2013