Cubic Spline Interpolation Tutorial

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SUMMARY

The forum discussion centers around a tutorial on cubic spline interpolation, specifically addressing both classic tri-diagonal cubic splines and parametric cubic splines. Users shared their experiences and challenges in implementing cubic spline interpolation in MATLAB, including issues with coefficient calculations and plotting results. Key insights include the importance of using correct expressions for coefficients and understanding boundary conditions, particularly the 'not-a-knot' condition used in MATLAB. The tutorial has been updated based on user feedback to clarify these concepts.

PREREQUISITES
  • Understanding of cubic spline interpolation techniques
  • Familiarity with MATLAB programming and syntax
  • Knowledge of parametric equations and their derivatives
  • Basic concepts of boundary conditions in spline interpolation
NEXT STEPS
  • Learn about MATLAB's 'not-a-knot' boundary condition in cubic spline interpolation
  • Explore advanced cubic spline fitting techniques for circular arcs
  • Investigate the differences between cubic spline and Hermite interpolation methods
  • Review practical applications of cubic splines in curve fitting and data smoothing
USEFUL FOR

Mathematicians, engineers, and computer scientists involved in numerical analysis, data visualization, and curve fitting applications, particularly those using MATLAB for spline interpolation tasks.

  • #31
I was just browsing for related blog posts for my project research and I happened to

discover yours. Thanks for the excellent information!
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  • #32
Hello,
Thank you for this excellent tutorial!

I've now implemented cubic splines in C++ and shared the result on my website should anyone want a reference C++ implementation...

http://www.marcusbannerman.co.uk/index.php/home/latestarticles/42-articles/96-cubic-spline-class.html"

Marcus
 
Last edited by a moderator:
  • #33
toastedcrumpets said:
Hello,
Thank you for this excellent tutorial!

I've now implemented cubic splines in C++ and shared the result on my website should anyone want a reference C++ implementation...

http://www.marcusbannerman.co.uk/index.php/home/latestarticles/42-articles/96-cubic-spline-class.html"

Marcus

Thanks for the acknowledgment on your website!
 
Last edited by a moderator:
  • #34
Excellent tutorial.

Somebody knows the formula to calulate the 95%CI for the spline?
Thank you for your help.
 
  • #35
Hi,
I want the verilog or VHDL coding for performing cubic spline interpolation used in biomedical EMD processor
 
  • #36
I have a project:
The goal is to create a curve interpolation tool that functions the same as the spline sketch
tool in Pro/E. The input is a set of data points. The output is a cubic C2 B-spline curve.
I have to do it in MATLAB. I am very new to this subject and do not have much idea about it.
Can anyone help me with this project. Like suggesting me how and where I should start? I have only 15 days to complete this project.
Thanks.
 

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