Left: A design vector field W. Right: A piecewise-geodesic vector field V which approximates W and whose discontinuities lead to segmentation of the underlying surface [27].
(2) If the mean of noise added to each region is zero, then the most ideal restoration (i.e., true image) is a monotonic steps function whose discontinuities are at {r i }, and the value in region ( {varOmega}_{r_{i-1},{r}_i} ) is U i. (3) Proposition 1 only shows the results for monotonically decreasing step function.
The basin fill is divided into six genetic units [20], whose bounding discontinuities relate to tectonic events and eustatic change [21].
The intact IM presents in ultrasonography as a hyperechoic structure whose continuity or discontinuity is verifiable [23, 38].
In Figure 16, "A" defines the strength in terms of an amplitude of the strong discontinuity, whose influence does not allow the detection of adjacent small edge of an amplitude "1-A".
We consider problems with parametric uncertainty in initial conditions and model coefficients, whose solutions exhibit discontinuities in the spatial as well as in the stochastic variables.
Such result, which refines a former version originally proved in [7], ensures the existence of a selection (for a given multifunction), whose set of discontinuities has a peculiar geometric property.
We show that the difference of activation energy for flow between pure solvent and polymer solution, ΔEa, is a function of concentration, whose derivative has a discontinuity at the crossover concentration.
The improvement stems from the design of the bootstrap test whose limiting behavior mimics the discontinuity of the original test's limiting distribution.
We set three-segment fault model whose positions matched the displacement discontinuities, and estimated the slip distributions on each segment from the observed pixel-offset data.
