Least Squares Method for Circle Fitting
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This article presents a MATLAB-implemented program designed to fit circles using the least squares method. The core algorithm minimizes the sum of squared distances between observed points and the fitted circle's circumference. The implementation involves solving a linear system derived from the circle equation (x-a)² + (y-b)² = r², where parameters (a,b) represent the circle center and r denotes the radius. Key MATLAB functions utilized include matrix operations for solving normal equations and optimization techniques for parameter estimation. While the least squares method is a versatile mathematical approach applicable to various curve fittings beyond circles, understanding its fundamental principles remains crucial. The subsequent sections provide detailed explanations of the least squares methodology and specifically explore its implementation for circular fitting scenarios.
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