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

394 Change Detection

FIGURE 9.15

Color composite of MAD/MNF components 1 (red), 2 (green), and 3 (blue)

for the bitemp oral image of Figure 9.1. Image generated with MAD_VIEW_RUN

using decision thresholds obtained from the Gaussian mixture model fit, linear

stretch over ±16 standard deviations of the no-change observations. (See

color insert.)

with solutions

m =

µ

C+

σ

2

NC

− µ

NC

σ

2

C+

± σ

NC

σ

C+

q

(µ

NC

− µ

C+

)

2

+ 2A(σ

2

NC

− σ

2

C+

)

σ

2

NC

− σ

2

C+

.

(9.29)

A correspo nding expre ssion obtains for the lower threshold. These thresholds

minimize the overall error probabilities in deciding between change and no

Unsupervised change classification 395

change; see Ex ercise 6. A simple