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pro vyhledávání: '"Benn, James A."'
In this paper we demonstrate how sub-Riemannian geometry can be used for manifold learning and surface reconstruction by combining local linear approximations of a point cloud to obtain lower dimensional bundles. Local approximations obtained by loca
Externí odkaz:
http://arxiv.org/abs/2307.03128
Akademický článek
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Autor:
Benn, James, Suri, Ali
For a closed symplectic manifold $(M,\omega)$ with compatible Riemannian metric $g$ we study the Sobolev $H^1$ geometry of the group of all $H^s$ diffeomorphisms on $M$ which preserve the symplectic structure. We show that, for sufficiently large $s$
Externí odkaz:
http://arxiv.org/abs/1710.02859
Publikováno v:
Journal of Mathematical Imaging and Vision (2019)
The nonlinear spaces of shapes (unparameterized immersed curves or submanifolds) are of interest for many applications in image analysis, such as the identification of shapes that are similar modulo the action of some group. In this paper we study a
Externí odkaz:
http://arxiv.org/abs/1702.02780
We prove that the Riemannian exponential map of the right-invariant $L^2$ metric on the group of volume-preserving diffeomorphisms of a two-dimensional manifold with a nonempty boundary is a nonlinear Fredholm map of index zero.
Comment: 16 page
Comment: 16 page
Externí odkaz:
http://arxiv.org/abs/1611.09993
Autor:
BENN, JAMES A.1
Publikováno v:
Journal of Chinese Studies. Jul2022, Vol. 75, p274-278. 5p.
Autor:
Protass, Jason, Benn, James A.
Publikováno v:
Brill's Encyclopedia of Buddhism Online
Externí odkaz:
https://doi.org/10.1163/2467-9666_enbo_COM_4216