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Fig. 8.10 Lunar crater Kepler. ( a ) Dense three-dimensional reconstruction using the combina-
tion of structure from motion with shape from shading (cf. Fig. 8.9 ). ( b ) Perspective view of the
LOLA DEM and ( c ) of the GLD100 of the same region. The vertical axis is two times exaggerated
images acquired under identical illumination conditions is not able to simultane-
ously estimate both surface gradients for each pixel as long as no boundary values
are known for the surface to be reconstructed. What is more, the sparse depth points
do not introduce spurious artefacts into the reconstructed surface profile despite the
considerable noise in the three-dimensional point cloud (cf. Fig. 8.9 c) extracted by
structure from motion.
Figure 8.11 shows a DEM of the eastern part of the crater Alphonsus obtained
using the approach by Herbort et al. ( 2011 ) and Grumpe and Wöhler ( 2011 ), which
is based on a combination of the LOLA DEM on large spatial scales and shape from
shading on small spatial scales (cf. Sect. 5.5 ). The DEM has been constructed rely-
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