Local Signatures using Persistence Diagrams - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2015

Local Signatures using Persistence Diagrams

Mathieu Carriere
Steve Oudot
  • Function : Author
  • PersonId : 845393


In this article, we address the problem of devising signatures using the framework of persistent homology. Considering a compact length space with curvature bounded above, we build, either for every point or for the shape itself, a topological signature that is provably stable to perturbations of the space in the Gromov-Hausdorff distance. This signature has been used in 3D shape analysis tasks, such as shape segmentation and matching. Here, we provide general statements and formal proofs of stability for this signature.
Fichier principal
Vignette du fichier
Report.pdf (272.54 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-01159297 , version 1 (04-06-2015)
hal-01159297 , version 2 (04-06-2015)


  • HAL Id : hal-01159297 , version 2


Mathieu Carriere, Steve Oudot, Maks Ovsjanikov. Local Signatures using Persistence Diagrams. 2015. ⟨hal-01159297v2⟩
731 View
353 Download


Gmail Facebook X LinkedIn More