Abstract

We study a variational framework to compare shapes, modeled as Radon measures on ℝN, in order to quantify how they differ from isometric copies. To this purpose we discuss some notions of weak deformations termed reformations as well as integral functionals having some kind of isometries as minimizers. The approach pursued is based on the notion of pointwise Lipschitz constant leading to a matric space framework. In particular, to compare general shapes, we study this reformation problem by using the notion of transport plan and Wasserstein distances as in optimal mass transportation theory.

Autore Pugliese

• Maddalena Francesco

Tutti gli autori

• Granieri , L , Maddalena F

Titolo volume/Rivista

ACTA APPLICANDAE MATHEMATICAE

Anno di pubblicazione

2014

ISSN

0167-8019

ISBN

Non Disponibile

Numero di citazioni Wos

Nessuna citazione

Ultimo Aggiornamento Citazioni

Non Disponibile

Numero di citazioni Scopus

1

Ultimo Aggiornamento Citazioni

2017-04-23 03:20:56

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile