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We are interested in the problem of ¯tting a sphere to a set of data
points in the three dimensional Euclidean space. In SpÄath [6] a descent algorithm
already have been given to ¯nd the sphere of best ¯t in least squares sense of
minimizing the orthogonal distances to the given data points. In this paper we
present another new algorithm which computes a parametric represented sphere in
order to minimize the sum of the squares of the distances to the given points. For
any choice of initial approximations our algorithm has the advantage of ensuring
convergence to a local minimum. Numerical examples are given.
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