Geodesic
Properties of Sobolev-type metrics in the space of curves
A.C.G. Mennucci1 ; A. Yezzi2 ; G. Sundaramoorthi2
1Scuola Normale Superiore, Pisa, Italy
2Georgia Institute of Technology, Atlanta, United States
Interfaces and free boundaries, Tome 10 (2008) no. 4, pp. 423-445

Voir la notice de l'article provenant de la source EMS Press

DOI

We define a manifold M where objects c∈M are curves, which we parameterize as c:S1→Rn (n≥2, S1 is the circle). We study geometries on the manifold of curves, provided by Sobolev-type Riemannian metrics Hj. These metrics have been shown to regularize gradient flows used in computer vision applications, see [13], [14], [16] and references therein.
DOI : 10.4171/ifb/196
Classification : 35-XX, 65-XX, 76-XX, 92-XX

A.C.G. Mennucci  1   ; A. Yezzi  2   ; G. Sundaramoorthi  2

1 Scuola Normale Superiore, Pisa, Italy
2 Georgia Institute of Technology, Atlanta, United States 
A.C.G. Mennucci; A. Yezzi; G. Sundaramoorthi. Properties of Sobolev-type metrics in the space of curves. Interfaces and free boundaries, Tome 10 (2008) no. 4, pp. 423-445. doi: 10.4171/ifb/196
@article{10_4171_ifb_196,
     author = {A.C.G. Mennucci and A. Yezzi and G. Sundaramoorthi},
     title = {Properties of {Sobolev-type} metrics in the space of curves},
     journal = {Interfaces and free boundaries},
     pages = {423--445},
     year = {2008},
     volume = {10},
     number = {4},
     doi = {10.4171/ifb/196},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/196/}
}
TY  - JOUR
AU  - A.C.G. Mennucci
AU  - A. Yezzi
AU  - G. Sundaramoorthi
TI  - Properties of Sobolev-type metrics in the space of curves
JO  - Interfaces and free boundaries
PY  - 2008
SP  - 423
EP  - 445
VL  - 10
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.4171/ifb/196/
DO  - 10.4171/ifb/196
ID  - 10_4171_ifb_196
ER  - 
%0 Journal Article
%A A.C.G. Mennucci
%A A. Yezzi
%A G. Sundaramoorthi
%T Properties of Sobolev-type metrics in the space of curves
%J Interfaces and free boundaries
%D 2008
%P 423-445
%V 10
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4171/ifb/196/
%R 10.4171/ifb/196
%F 10_4171_ifb_196

Cité par Sources :