I briefly comment on line discontinuities terminating in point discontinuities in a sheet, discontinuous line discontinuities in a sheet, and an approach to dynamic fracture that treats a crack tip in a sheet as a time-dependent boundary point.
In contourlet transform, the laplacian pyramid (LP) is first used to capture point discontinuities.
The system considered includes multiple point discontinuities such as elastic supports, attached masses, and curvature changes.
It is then followed by a directional filter bank (DFB) to link point discontinuities into linear structures [14].
Their identification relies on a force curve segmentation procedure allowing for the detection of a set of critical points (or discontinuity points: jumps, change of slope or change of curvature).
Wavelet analysis is capable of revealing aspects of data that other signal analysis techniques, aspects such trends, breakdown points, discontinuities in higher derivatives, and self-similarity, are unable to reveal.
Instead, they organize more locally to be similar to primate V1 maps for orientation or direction, becoming composed of continuous regions that are punctuated by pinwheel, linear and saddle-point discontinuities (see ref. [14]), largely ignoring the barrel boundaries.
We use the derivative sampling theorem (Hermite interpolations) to compute eigenvalues of a discontinuous regular Dirac systems with transmission conditions at the point of discontinuity numerically.
This difference scheme is a combination of a nonequidistant generalization of the Numerov scheme on the Shishkin-type mesh except for the point of discontinuity and a second-order difference scheme on an additional refined mesh at the point of discontinuity.
A nonequidistant generalization of the Numerov scheme is used on the Shishkin-type mesh except for the point of discontinuity, whereas a second-order difference scheme with an additional refined mesh is used for the point of discontinuity.
