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The gradient change regularity of the face gradient, line gradient, and point gradient is studied.
Also Jahanshahloo et al. (2004b) have applied gradient line for ranking efficient units.
A steep gradient line for the slant-range change was obtained near the Hinagu Fault (Fig. 2a, c).
Additionally, high gradient line of crustal deformation was not consistent with the Hinagu Fault as mentioned before.
As mentioned before, high gradient line of crustal deformation was obtained alongside the Hinagu Fault, and the strike direction and the location of the upper margin are obvious from its feature.
The steep gradient line parallel to the Hinagu Fault is not consistent with the active fault trace, and then it may indicate that the blind fault or the spray fault have been ruptured in this earthquake.
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Figure 3 also shows the velocity vs. gradient lines for different permeabilities encountered in petroleum reservoirs.
The strong horizontal gradient lines crossing Kyushu Island correspond to the Oita Kumamoto Tectonic Line (OKTL).
Dashed thick lines indicate decorrelation lines or steep gradient lines of slant-range change Fig. 3 Time line of the SAR data acquisition dates.
These decorrelation and steep gradient lines must correspond to the upper margins of faults or intersection lines of a fault extension and the land surface.
These curves in the space of maps are (as explained in [147]) the analogue of gradient lines in Morse theory, and the energy functional decreases on these lines.
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