Aerospace and Electronic Systems Magazine July 2017 Tutorial XI - 20

Introductory View of Anomalous Change Detection

Figure 9.

EX-2. (a) ROC for the five algorithms: FAR values are in logarithmic scale. (b) AC-ROC for the five algorithms: FoDNA values are in linear scale.

Figure 10.

EX-2. ROC and AC-ROC obtained by
discarding the CE or the LCRA from the
processing chain of the algorithm: (a)
SACD, (b) HACD, (c) SDACD, (d) SDHACD, (e) SVACD.

scene (e.g. those in the target A2). This is not in contrast with what
we have stated in Subsection II-D. In fact, the images analyzed in
this experiment were collected under different and spatially varying acquisition conditions. Thus, by applying the CE, a residual
spatially varying radiometric distortion is expected and such a distortion might be responsible for the augmented sensitivity of the
algorithms to the nontemporal anomalies.
Fig.9 (a) and (b) show the ROC and the AC-ROC obtained in
this second experiment. The ROCs of Fig. 9 (a) confirm that HACD,
SDHACD, SDACD, and the SVACD outperform the SACD. In
fact, those curves are almost always above that of the SACD, especially for values of FoDC lower than 0.85. The AC-ROCs show
20

that SACD also provides the worst performance in terms of ability
in discriminating temporal and nontemporal anomalies, whereas
the best performance is attained by the HACD. Such an algorithm
detects the 100% (FoDC=1) of the temporal anomalies with FoDNA=0.207, as opposite to the other algorithms whose values of
FoDNA (for FoDC=1) are around 0.5. SDACD and SDHACD yield
approximately the same performance. SVACD performs slightly
better than the two difference based algorithms. In conclusion, also
in this case, the HACD provides the overall best performance.
Fig. 10 (a)-(e) give an insight into the impact of the RE and the
LCRA on the performance of the various algorithms. The curves
confirm that SACD and HACD do not change their behavior when

IEEE A&E SYSTEMS MAGAZINE

JULY 2017, Part II of II



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