---
res:
  bibo_abstract:
  - Traditional models of bendable surfaces are based on the exact or approximate
    invariance to deformations that do not tear or stretch the shape, leaving intact
    an intrinsic geometry associated with it. These geometries are typically defined
    using either the shortest path length (geodesic distance), or properties of heat
    diffusion (diffusion distance) on the surface. Both measures are implicitly derived
    from the metric induced by the ambient Euclidean space. In this paper, we depart
    from this restrictive assumption by observing that a different choice of the metric
    results in a richer set of geometric invariants. We apply equi-affine geometry
    for analyzing arbitrary shapes with positive Gaussian curvature. The potential
    of the proposed framework is explored in a range of applications such as shape
    matching and retrieval, symmetry detection, and computation of Voroni tessellation.
    We show that in some shape analysis tasks, equi-affine-invariant intrinsic geometries
    often outperform their Euclidean-based counterparts. We further explore the potential
    of this metric in facial anthropometry of newborns. We show that intrinsic properties
    of this homogeneous group are better captured using the equi-affine metric.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Dan
      foaf_name: Raviv, Dan
      foaf_surname: Raviv
  - foaf_Person:
      foaf_givenName: Alexander
      foaf_name: Bronstein, Alexander
      foaf_surname: Bronstein
      foaf_workInfoHomepage: http://www.librecat.org/personId=58f3726e-7cba-11ef-ad8b-e6e8cb3904e6
    orcid: 0000-0001-9699-8730
  - foaf_Person:
      foaf_givenName: Michael M.
      foaf_name: Bronstein, Michael M.
      foaf_surname: Bronstein
  - foaf_Person:
      foaf_givenName: Dan
      foaf_name: Waisman, Dan
      foaf_surname: Waisman
  - foaf_Person:
      foaf_givenName: Nir
      foaf_name: Sochen, Nir
      foaf_surname: Sochen
  - foaf_Person:
      foaf_givenName: Ron
      foaf_name: Kimmel, Ron
      foaf_surname: Kimmel
  bibo_doi: 10.1007/s10851-013-0467-y
  bibo_volume: 50
  dct_date: 2014^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0924-9907
  - http://id.crossref.org/issn/1573-7683
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Equi-affine invariant geometry for shape analysis@
...
