How to Begin Solving a Basic Open B-Spline Curve with Given Control Points?

[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

 

[mathman]

Try google "b-spline interpolation".

 

[vee6]

What is the next?

 

[mathman]

What is the next?

Explain your question.

 

[vee6]

What is the b-spline interpolation?

Please show me the example.

 

[Mark44]

What is the b-spline interpolation?

Please show me the example.

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?

 

[vee6]

Are you asking us to do your work for you?

No.

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

I am not working yet.

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

Yes I did.

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

It's from wikipedia.

Spline[/PLAIN] interpolation.

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

 

[Mark44]

Here's a link to a Wiki article on b-splines: http://en.wikipedia.org/wiki/B-spline.
There are some examples about halfway down the page.

 

[vee6]

There are some examples about halfway down the page.

Which one?

 

[Mark44]

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

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

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

 

[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?

If you can answer those questions, I'm sure people would be willing to help you.

 

[kiyoshi7]

If you want some more info look at this site:
http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/

if you really want to understand i suggest you buy a book called An Introduction to NURBS: With Historical Perspective. it will start you out with some parametric curves and bezer to then introduce b-splines. I suggest you learn how to program, if you don't already since it can be very monotonous.

Other than that I can't really help you since I barely understand it myself.