A Neumann boundary condition in the Laplace or Poisson equation imposes the constraint that the directional derivative
of \phi is some value at some location.
The edges are determined in every direction, as opposed to the operator using the directional derivative
of the first order;
In analogy with the directional derivative
of a convex function, we introduce the notion of the generalized directional derivative
of a locally Lipschitz function f at x [member of] X in the direction h [member of] X by
alpha] and [beta] are constants and [partial derivative]u/[partial derivative]n represents the directional derivative
in the direction normal n to the boundary [partial derivative][OMEGA] which by convention points outwards.
In this study, the MSA methods of slope, aspect, first directional derivative
gradient operator and combination of altitude and shaded relief were used.
Secondly, the potential's directional derivative
in a direction crossing S' and parallel to [?
0](x,y) denotes the clark generalized directional derivative
and [partial derivative]f (x,y) denotes the Clarke subdifferential of f at (x,y).
1967; Matheron, 1975; 1986) that the right directional derivative
at the origin of the covariogram gA of a convex body equals minus the surface area of the orthogonal projection of the set A.
0](x; v) the Clarke directional derivative
of a vector function F [member of] L([R.
exists, is said that F'(x,h) is the directional derivative
If F is a locally Lipschitzian and nonsmooth function and for [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] exists, is said that F'(x,h) is the directional derivative
filters were used in order to maximize the detection of straight lines in the original image.