---
res:
  bibo_abstract:
  - The rapid development of 3D acquisition technology has brought with itself the
    need to perform standard signal processing operations such as filters on 3D data.
    It has been shown that the eigenfunctions of the Laplace-Beltrami operator (manifold
    harmonics) of a surface play the role of the Fourier basis in the Euclidean space;
    it is thus possible to formulate signal analysis and synthesis in the manifold
    harmonics basis. In particular, geometry filtering can be carried out in the manifold
    harmonics domain by decomposing the embedding coordinates of the shape in this
    basis. However, since the basis functions depend on the shape itself, such filtering
    is valid only for weak (near all-pass) filters, and produces severe artifacts
    otherwise. In this paper, we analyze this problem and propose the fractional filtering
    approach, wherein we apply iteratively weak fractional powers of the filter, followed
    by the update of the basis functions. Experimental results show that such a process
    produces more plausible and meaningful results.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Artiom
      foaf_name: Kovnatsky, Artiom
      foaf_surname: Kovnatsky
  - foaf_Person:
      foaf_givenName: Michael M.
      foaf_name: Bronstein, Michael M.
      foaf_surname: Bronstein
  - 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
  bibo_doi: 10.1007/978-3-642-33863-2_9
  bibo_issue: Part 1
  bibo_volume: 7583
  dct_date: 2012^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/0302-9743
  - http://id.crossref.org/issn/1611-3349
  - http://id.crossref.org/issn/9783642338625
  - http://id.crossref.org/issn/9783642338632
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Stable Spectral Mesh Filtering@
...