Polynomial Regression on Riemannian Manifolds
Polynomial Regression on Riemannian Manifolds
Polynomial Regression on Riemannian Manifolds
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Corpus Collosum Aging (www.oasis-brains.org)<br />
Geodesic<br />
0.04<br />
0.02<br />
0<br />
−0.02<br />
−0.04<br />
−0.06<br />
Fletcher 2011<br />
N = 32 patients<br />
Age range 18–90<br />
64 landmarks using<br />
ShapeWorks sci.utah.edu<br />
k R 2<br />
1 0.12<br />
2 0.13<br />
3 0.21<br />
Quadratic<br />
Cubic<br />
−0.08<br />
0.04<br />
0.02<br />
0<br />
−0.02<br />
−0.04<br />
−0.06<br />
−0.08<br />
0.06<br />
0.04<br />
0.02<br />
0<br />
−0.02<br />
−0.04<br />
−0.06<br />
−0.08<br />
−0.15 −0.1 −0.05 0 0.05 0.1 0.15<br />
−0.15 −0.1 −0.05 0 0.05 0.1 0.15<br />
−0.15 −0.1 −0.05 0 0.05 0.1 0.15<br />
<str<strong>on</strong>g>Polynomial</str<strong>on</strong>g> <str<strong>on</strong>g>Regressi<strong>on</strong></str<strong>on</strong>g> <strong>on</strong> <strong>Riemannian</strong> <strong>Manifolds</strong> 24
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