Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Buet, Blanche"'
Autor:
Buet, Blanche, Pennec, Xavier
By interpreting the product of the Principal Component Analysis, that is the covariance matrix, as a sequence of nested subspaces naturally coming with weights according to the level of approximation they provide, we are able to embed all $d$--dimens
Externí odkaz:
http://arxiv.org/abs/2305.10583
Autor:
Buet, Blanche, Rumpf, Martin
This paper investigates a discretization scheme for mean curvature motion on point cloud varifolds with particular emphasis on singular evolutions. To define the varifold a local covariance analysis is applied to compute an approximate tangent plane
Externí odkaz:
http://arxiv.org/abs/2010.09419
By revisiting the notion of generalized second fundamental form originally introduced by Hutchinson for a special class of integral varifolds, we define a weak curvature tensor that is particularly well-suited for being extended to general varifolds
Externí odkaz:
http://arxiv.org/abs/1904.05930
Autor:
Buet, Blanche
La motivation initiale de cette thèse est l'étude d'une discrétisation volumique de surface (Chapitre 2) naturellement liée à la structure de varifold. Le point clé est qu'il est possible de munir d'une structure de varifold la plupart des obje
Externí odkaz:
http://www.theses.fr/2014LYO10310/document
We show that the theory of varifolds can be suitably enriched to open the way to applications in the field of discrete and computational geometry. Using appropriate regularizations of the mass and of the first variation of a varifold we introduce the
Externí odkaz:
http://arxiv.org/abs/1609.03625
Autor:
Buet, Blanche, Leonardi, Gian Paolo
In a metric space $(X,d)$ we reconstruct an approximation of a Borel measure $\mu$ starting from a premeasure $q$ defined on the collection of closed balls, and such that $q$ approximates the values of $\mu$ on these balls. More precisely, under a ge
Externí odkaz:
http://arxiv.org/abs/1510.02793
Autor:
Buet, Blanche
Our purpose is to state quantitative conditions ensuring the rectifiability of a $d$--varifold $V$ obtained as the limit of a sequence of $d$--varifolds $(V_i)_i$ which need not to be rectifiable. More specifically, we introduce a sequence $\left\lbr
Externí odkaz:
http://arxiv.org/abs/1409.4749
Autor:
Buet, Blanche1 blanche.buet@u-psud.fr, Rumpf, Martin2
Publikováno v:
ESAIM: Mathematical Modelling & Numerical Analysis (ESAIM: M2AN). Sep/Oct2022, Vol. 56 Issue 5, p1773-1808. 36p.
Akademický článek
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Autor:
Buet, Blanche1 blanche.buet@math.u-psud.fr, Leonardi, Gian2 gianpaolo.leonardi@unimore.it, Masnou, Simon3 masnou@math.univ-lyon1.fr
Publikováno v:
Archive for Rational Mechanics & Analysis. Nov2017, Vol. 226 Issue 2, p639-694. 56p.