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Local Signatures using Persistence Diagrams

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Mathieu Carriere
Steve Oudot
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  • PersonId : 845393

Abstract

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.
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Dates and versions

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

Identifiers

  • HAL Id : hal-01159297 , version 2

Cite

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