Journal
IMA JOURNAL OF NUMERICAL ANALYSIS
Volume 22, Issue 3, Pages 359-390Publisher
OXFORD UNIV PRESS
DOI: 10.1093/imanum/22.3.359
Keywords
Newton's method; Riemannian manifold; orthogonal group; 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.
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