# displacement operator

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## displacement operator

[dis′plās·mənt ‚äp·ə‚rād·ər]
(mathematics)
A difference operator, denoted E, defined by the equation Ef (x) = ƒ(x + h), where h is a constant denoting the difference between successive points of interpolation or calculation. Also known as forward shift operator.
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Apply the previous displacement operator to control points defined at a lower resolution, based on the fact that the lower the resolution the more global the deformation, and then
The modification of the shape of a curve, without removing its features, results from the application of the displacement operator applied to a low-level curve and the insertion of detail coefficients afterwards, which reproduces the features of the initial isobathymetric line.
In addition, one can add a displacement operator, if the safety constraint is not preserved.
A displacement operator is used to counteract the problems that arise when two or more features are in conflict.
When using the displacement operator, forces in the opposite direction acting on [P.
The exaggeration operator differs from the displacement operator only in the use of a different force model of [P.
The two uppermost graphics of Figure 5 deal with the solution of proximity conflicts by the displacement operator.
The displacement operator describes the translation of an entire polygon in order to solve a proximity conflict between polygons (Figure 3a).
The displacement operator yields interesting results but it cannot be used to correct every conflicts.
The selected strategy must also take into account the order of application of the generalization process because the result will differ depending on when the displacement operator has been applied--before or after a compression operator.
In this case, the application of a single displacement operator was not sufficient.
If the conflict is a visualization or a tangential self-intersection, a displacement operator can be applied with respect to the safety constraint and the displacement direction.

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