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On the Whitney Extension-Interpolation-Alignment problem for almost isometries with small distortion in $\Bbb R^D$. (arXiv:1411.2468v4 [math.MG] UPDATED)
来源于:arXiv
Let $D\geq 2$, $S\subset \mathbb R^D$ be finite and let $\phi:S\to \mathbb
R^D$ with $\phi$ a small distortion on $S$. We solve the Whitney
extension-interpolation-alignment problem of how to understand when $\phi$ can
be extended to a function $\Phi:\mathbb R^D\to \mathbb R^D$ which is a smooth
small distortion on $\mathbb R^D$. Our main results are in addition to Whitney
extensions, results on interpolation and alignment of data in $\mathbb R^D$ and
complement those of [26]. 查看全文>>