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Low rank approximation for the lena image
Low rank approximation for the lena image
import numpy as np
import scipy as sp
from scipy import linalg
import pylab as pl
X = sp.lena().astype(np.float)
U, d, Vt = linalg.svd(X)
D = linalg.diagsvd(d, X.shape[0], X.shape[1])
# approxmation with some singular values set to zero
# we set half of them to zero
for k in range(5, 50, 3):
D1 = D.copy()
D1[D1 < d[int(k)]] = 0.
print int(k)
X1 =, D1), Vt)
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macdentalr12 commented Nov 15, 2011

Very nice example.

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