A stable and efficient algorithm for nonlinear orthogonal distance regression
SIAM Journal on Scientific and Statistical Computing
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
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The problem is considered of the estimation of a polygonal region in two dimensions from data approximately marking the outline of the region. A solution is sought by formulating and solving a nonlinear least squares problem. A Levenberg-Marquardt method is developed for this problem, with an implementation which exploits the special structure so that the Levenberg-Marquardt step can be computed efficiently.