Sentence examples for geometric continuity from inspiring English sources

It worth noting that the proposed methods in this paper are the first to consider geometric continuity with degree reductions.

This provides a formal framework for the existing and any future isogeometric elements based on geometric continuity.

Therefore, in constructing smooth piecewise surfaces, people usually consider only geometric continuity, namely, (mathrm{G}^{n}) continuity, which is irrelevant to the selected parameters.

In other words, the G2 geometric continuity conditions contain the G1 ones, so the G2 continuity conditions of the surfaces are only covered in this section.

Geometric continuity of two disk Bézier curves is independent of their parametrization and denoted by (G^{k}); it produces additional free parameters; see [21 23].

Three kinds of conditions: geometric continuity, topological consistency and geological consistency, which must be satisfied by SEGM, are discussed in detail.

We dynamically determine the sub-domain-specific switch between deformation reconstruction based on modal reuse and FEM-based physical simulation according to the physically-consistent error estimates, and couple all the sub-domains' physical behaviors together by imposing adjacent sub-domains' geometric-continuity constraints.

These theories satisfy the free surface conditions and the geometric and stress continuity conditions at interfaces.

This theory fully satisfies the free surface conditions and the geometric and stress continuity conditions at interfaces.

Crucially, that question can be reformulated in terms of Dedekind's idea of "cuts" defined directly on the rational numbers, so that any geometric intuition concerning continuity can be put aside.

In the present paper, the global local higher-order theory is simply derived, which satisfies the free surface conditions and the geometric and stress continuity conditions at interfaces.