How to do circular curve fitting?

Click For Summary
SUMMARY

The discussion focuses on the optimal approach for circular curve fitting using the least squares method. Participants emphasize the importance of this method for fitting a circle to a large dataset of points. Two key resources are provided for further understanding: a paper from the Bulletin of the Belgian Mathematical Society and a user guide from the DTC Center, both of which detail the process of circle fitting. These resources serve as foundational materials for anyone looking to implement least squares for circular fitting.

PREREQUISITES
  • Understanding of least squares method
  • Familiarity with circular geometry
  • Basic knowledge of data fitting techniques
  • Ability to interpret mathematical papers and guides
NEXT STEPS
  • Study the least squares method in detail
  • Review the provided resources: Gander's paper and DTC Center's guide
  • Explore numerical optimization techniques for curve fitting
  • Implement a simple circular fitting algorithm in Python or MATLAB
USEFUL FOR

Data scientists, mathematicians, and engineers involved in data analysis and curve fitting, particularly those working with large datasets requiring circular fitting techniques.

srinath1993
Messages
2
Reaction score
0
If I was given some n(very large) points, and if I want to fit a curve circularly, I think I should go for least squares method. What is the optimal way to do it? can someone explain me clearly how to proceed using least squares method? I don't how to proceed. But I know I should do least squares method
Thanks in advance
 
Physics news on Phys.org

Similar threads

Analyzing Hysteresis Curve Fitting: Overfitting or Not?
  • · Replies 9 ·
Replies
9
Views
4K
Undergrad Finding the Right Curve Fit: A Question About Curve Fitting
  • · Replies 16 ·
Replies
16
Views
3K
Graduate How to set up and interpret Chi^2 test results for my data?
  • · Replies 11 ·
Replies
11
Views
3K
Python Binned Maximum Likelihood fit in python?
  • · Replies 9 ·
Replies
9
Views
4K
Undergrad Measurement for uncertainty in nonlinear model
  • · Replies 4 ·
Replies
4
Views
2K
Mathematica Fitting solution function of NDSolve with a curve
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Fitting a SiII curve in a supernova spectra
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad How do I use the four axioms of a neighborhood to define an open set?
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad How Should You Approach Fitting Multiple Gaussians to Data with Poisson Errors?
  • · Replies 28 ·
Replies
28
Views
4K
Area Under Frequency versus Time Curve meaning?
  • · Replies 8 ·
Replies
8
Views
2K