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. Author manuscript; available in PMC: 2013 Jul 23.
Published in final edited form as: IEEE Trans Image Process. 2011 May 2;20(11):3051–3062. doi: 10.1109/TIP.2011.2147323

TABLE V.

Comparison of Grassmannian Distances Between SVD Eigensubspaces and Other Methods. (A)Images of Artificially Generated Projections of the E.Coli 50-s Ribosomal Subunit. (B) Images of White Noise

(A) (B)

Princ. Comps This Paper JZL Eig. Decomp. Princ. Comps This Paper JZL Eig. Decomp.
1 2.25 · 10−15 2.09 · 10−15 3.11 · 10−15 1 & 2 3.73 · 10−13 3.71 · 10−13 3.41 · 10−13
2 & 3 5.26 · 10−15 8.03 · 10−15 9.45 · −15 3 & 4 3.75 · 10−13 3.71 · 10−13 3.44 · 10−13
4 &5 6.94 · 10−15 7.17 · 10−15 7.83 · 10−15 5 & 6 9.25 · 10−13 9.27 · 10−13 1.05 · 10−12
6 &7 9.72 · 10−15 1.35 · 10−14 7.40 · 10−15 7 1.63 · 10−12 1.63 · 10−12 2.76 · 10−12
8 &9 9.45 · 10−14 9.36 · 10−14 1.87 · 10−13 8 & 9 1.60 · 10−12 1.60 · 10−12 2.74 · 10−12