期刊
IMA JOURNAL OF NUMERICAL ANALYSIS
卷 22, 期 3, 页码 359-390出版社
OXFORD UNIV PRESS
DOI: 10.1093/imanum/22.3.359
关键词
Newton's method; Riemannian manifold; orthogonal group; human spine
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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