Least Squares Curve Fitting for Circle Approximation

This article presents the methodology and implementation of least squares curve fitting for circle approximation. The least squares method serves as a fundamental mathematical tool for identifying optimal functions that best fit given datasets. We demonstrate the application of this technique specifically for circle fitting problems and provide complete source code implementations. The discussion includes detailed mathematical derivations to help readers understand the underlying algorithm principles and implementation strategies. Key aspects covered include the distance minimization approach, error function formulation, and numerical optimization techniques. Through this comprehensive guide, you will gain deep insights into practical applications of least squares methods in geometric fitting problems and develop proficiency in writing efficient circle fitting algorithms. The provided code examples illustrate proper handling of coordinate data, matrix operations for parameter estimation, and convergence criteria for iterative solutions.