Basic B-spline Curve for a Dummy?

  1. 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. jcsd
  3. mathman

    mathman 6,432
    Science Advisor
    Gold Member

    Try google "b-spline interpolation".
     
  4. What is the next?
     
  5. mathman

    mathman 6,432
    Science Advisor
    Gold Member

    Explain your question.
     
  6. What is the b-spline interpolation?

    Please show me the example.
     
  7. Mark44

    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?
     
  8. 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.
     
  9. Mark44

    Staff: Mentor

  10. Which one?
     
  11. Mark44

    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
  12. 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.
     
  13. 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.
     
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