Sentence examples for by the zero level from inspiring English sources

The type of manifold involved here is defined by the zero level set of a smooth mapping u Rn↦R.

Compared with the existing level set based method, the important sensitivity property of design domain preserving makes it possible to avoid automatically the boundary violation of the design domain caused by the zero level set movement and both the topology and boundary shape of the free-form design domain can be simultaneously optimized.

220 (2007) 915 931] the author presented two closely related finite difference methods (referred to here as FDM1 and FDM2) for discretizing a delta function supported on a manifold of codimension one defined by the zero level set of a smooth mapping u Rn↦R.

If a level set (or VOF) method is applied then the interface, which is implicitly given by the zero level of the level set function, is in general not aligned with the triangulation that is used in the discretization of the flow problem.

Finally, the image segmentation contour is acquired by the zero level set on the level set function surface (Fig. 3).

In calculus of variations and level set methods, the contour C is readily represented by the zero level set ϕ x,y)=0.

At time t, the motion contour can be obtained by extracting the zero level set from the differential equation c((X), t) = {φ X, t) = 0}.

This peak was followed by a steady downward return toward the zero level (normal) by 1975.

Each of the two boundaries is represented by a part of the zero level set of one level set function.

The alum dosage is found to be the most significant factor that influences the NOM removal and this is followed by the two level interactions of pH and SUVA, the main effect of pH, the main effect of SUVA, the two level interaction of SUVA and alum, the second order effect of SUVA and the second order effect of pH.

This instrument reduces observer bias and digit preference by 'muddling' the zero levels and has been widely used in epidemiological surveys [ 5].