IMA Journal of Numerical Analysis

Newton's method on Riemannian manifolds and a geometric model for the human spine

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To study a geometric model of the human spine we are led to finding a constrained minimum of a real valued function defined on a product of special orthogonal groups. To take advantge of its Lie group structure we consider Newton's method on this manifold. Comparisons between measured spines and computed spines show the pertinence of this approach.