Image Analysis, Classification and Change Detection in Remote Sensing, 3rd Edition

Exercises 229

7. Show that the means and standard deviations of the renormalized pan-

chromatic wavelet coefficients C

z

k

in Equation (5.17) are equal to those

of the multispectral bands.

8. Write an ENVI/IDL or Python script to perform additive `a trous fusion

(see N´unez et al. (1999)).

9. Use the Wang-Bovik quality index routine (Appendix C) to assess the

sp ectral fidelity of a pan-sharpened image using the complete range of

metho ds offered by ENVI and by the extensions described in the pre sent

chapter: HSV, Brovey, Gram-Schmidt, PCA, DWT, and ATWT.

10. Show, with the help of Theorem 2.1, that

(a) if the random variable U has density (1/2)e

−u/2

, then