June 2014
Intermediate to advanced
576 pages
16h 43m
English
book
Image Analysis, Classification and Change Detection in Remote Sensing, 3rd Edition
by Morton J. Canty
Content preview from Image Analysis, Classification and Change Detection in Remote Sensing, 3rd Edition
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Singular value decomposition 21
4 Eige nvecto rs (as rows )
5 -0.6 4092380 -0.71641836 0.27561100
6 -0.2 2689155 -0.16619583 -0 .95963 492
7 0 .73330 547 -0.67758666 -0.0 560304 08
8 Orth ogonal ity
9 1.000000 0 0.0 000000 0 5.0306981 e -017
10 0.0 0000000 1.000 0000 4.16 33363 e -017
11 5.0306981 e -017 4.1633 363 e -017 1.0000 000
Notice that, due to rounding errors, U
⊤
U has finite — but very small — off-
diagonal e lements. The eigenvalues are all positive, so the covariance matrix
calculated by the program is positive definite.
In Python, the eigenvalues a nd e igenvectors of real symmetric (or complex
Hermitian) matric es can be calculated with numpy. ...
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