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We study tidal systems along the Dutch coast because of (1) high data density, (2) abundant well-preserved and well-described estuaries and tidal embayments with contrasting boundary conditions and morphodynamic evolution and (3) their low-sloping setting with soft boundaries.
Alternatively, we conjecture that a probabilistic approach with soft boundaries would be optimal.
A unique feature of the Earth is active plate tectonics (Schubert et al. 2001), involving rigid plates that interact at "soft" boundaries, the nature of which allows the relative motion between plates.
And, as pastoralists settle, they can transform formerly open landscapes with soft boundaries into fragmented landscapes with harder boundaries like fences, farmland and denser settlements (Galvin et al. 2007).
Whereas previously proposed methods such as region growing, live wire or shape-based segmentation require and produce sharp boundaries, statistical segmentation approaches are more suitable to incorporate soft boundaries by yielding class probabilities.
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The necessary transfer-function-based mathematical apparatus for description of the so-called soft boundary is also presented.
Although the soft boundary is a virtual boundary located between the vehicles of different dynamics, it significantly alters the behaviour of the platoon.
It is shown how to incorporate model of the soft boundary into the design of the wave-absorbing control such that its effect is minimized.
We have established several results relating soft interior, soft exterior, soft closure, and soft boundary.
Moreover, we characterize soft open sets, soft closed sets, and soft clopen sets via soft boundary.
We establish several important results relating soft interior, soft exterior, soft closure, and soft boundary in soft topological spaces.
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