Oriented point-cloud varifolds for estimating the perimeter and computing its Wasserstein gradient flow 11SW7NAN7M

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
Bounded-Lipschitz distance	definition	definition 3.10	arxiv
Hidden boundary	definition	definition 2.8	arxiv
4KGTSGGEV1	definition	definition	arxiv
Perimeter functional for oriented varifolds	definition	definition 2.5	arxiv
Oriented varifold	definition	definition 2.1	arxiv
Empirical weight measure and current	definition	definition 3.9	arxiv
Quantitative perimeter consistency	statement	theorem 4.1	arxiv
Fluctuation of the orientations	statement	lemma 4.4	arxiv
Comparison away from $\Sigma$	statement	lemma 4.3	arxiv
Perimeter functional	definition	definition 2.4	arxiv
MRBZD5DV0P	statement	corollary 4.2	arxiv
Rate of the empirical weight measure	statement	proposition 3.11	arxiv
Ahlfors regularity and singular neighbourhoods	statement	lemma 3.6	arxiv
First moment density	definition	definition 2.7	arxiv
Weight measure and current	definition	definition 2.2	arxiv
Empirical visible perimeter	definition	definition 3.13	arxiv
Density estimate at a sample point	statement	lemma B.2	arxiv
Bias of the mollified density	statement	lemma B.1	arxiv
Visible perimeter functional	definition	definition 3.3	arxiv
Weighted empirical measures	statement	lemma B.3	arxiv