Circle fitting by linear and nonlinear least squares
Circle fitting by linear and nonlinear least squares is a scholarly work, published in 1993 in ''Journal of Optimization Theory and Applications''. The main subjects of the publication include digital image correlation, outlier, Linear least squares, Explained sum of squares, mathematical optimization, Total least squares, generalization, least squares method, generalized least squares, nonlinear programming, dimensional metrology, Least trimmed squares, mathematics, Hough transform, least-squares function approximation, non-linear least squares, nonlinear system, applied mathematics, algorithm, Iteratively reweighted least squares, residual sum of squares, set, and theory of computation. The problem of determining the circle of best fit to a set of points in the plane (or the obvious generalization ton-dimensions) is easily formulated as a nonlinear total least-squares problem which may be solved using a Gauss-Newton minimization algorithm.