IEEE Geoscience and Remote Sensing Magazine - March 2023 - 45

a 3DTV regularization into a novel weighted TR (WTR) decomposition
framework. The proposed TV-WTR model is
formulated as
N
XG
=
3
min / / i G XG X 3DTV
,[ ] n=1 i
i
st. XT
..
XX
=
1
(39)
For HS image inpainting tasks, we test three methods:
HaLRTC, LRTC, and WTR decomposition + 3DTV
(TVWTR) on a random missing data problem and text removal
problem. A subimage is chosen from the Houston
2013 dataset for our experimental study. Figure 13 conveys
the results of the Houston 2013 dataset before and after
()
()
i +-U^h6 @
n
)
m
2
2
F + x
recovery, under a ratio of 80%. Although missing pixels
disappear in the results of HaLRTC and LRTC, these methods
produce more or fewer artifacts in the top-right corner
of the zoomed area. The TVWTR method performs best
among all the compared algorithms and recovers details,
such as the red square center of the zoom area. In Figure
14, original HS bands are corrupted by different texts
that do not appear randomly, as in previous cases. The text
corruption is eliminated by three tensor decompositionbased
algorithms. Few text artifacts exist in the enlarged
area of LRTC. Due to the consideration of the spectral correlation
and the spatial-spectral smoothness, TVWTR provides
the best result by reconstructing most information of
the original image.
(a)
(b)
(c)
(d)
(e)
FIGURE 13. The inpainting results of different methods under an 80% missing ratio: (a) an original Houston 2013 image, (b) the missing
information, (c) HaLRTC, (d) LRTC, and (e) TVWTR.
(a)
(b)
(c)
(d)
(e)
FIGURE 14. The inpainting results of different methods for the text removal case: (a) an original Houston 2013 image, (b) the missing information,
(c) HaLRTC, (d) LRTC, and (e) TVWTR.
MARCH 2023 IEEE GEOSCIENCE AND REMOTE SENSING MAGAZINE
45

IEEE Geoscience and Remote Sensing Magazine - March 2023

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