Local Barycentric Coordinates (Articolo in rivista)

Type
Label
  • Local Barycentric Coordinates (Articolo in rivista) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1145/2661229.2661255 (literal)
Alternative label
  • Juyong Zhang; Bailin Deng; Zishun Liu; Giuseppe Patanè; Sofien Bouaziz; Kai Hormann; Ligang Liu (2014)
    Local Barycentric Coordinates
    in ACM transactions on graphics; ACM, Association for computing machinery, New York (Stati Uniti d'America)
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Juyong Zhang; Bailin Deng; Zishun Liu; Giuseppe Patanè; Sofien Bouaziz; Kai Hormann; Ligang Liu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#altreInformazioni
  • Articolo nr. 188 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#url
  • http://dl.acm.org/citation.cfm?doid=2661229.2661255 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 33 (literal)
Rivista
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#pagineTotali
  • 12 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroFascicolo
  • 6 (literal)
Note
  • Google Scholar (literal)
  • ISI Web of Science (WOS) (literal)
  • Scopu (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • University of Science and Technology of China; Ecole polytechnique fédérale de Lausanne; CNR - Istituto di Matematica Applicata e Tecnologie Informatiche; Università della Svizzera italiana (literal)
Titolo
  • Local Barycentric Coordinates (literal)
Abstract
  • Barycentric coordinates yield a powerful and yet simple paradigm to interpolate data values on polyhedral domains. They represent interior points of the domain as an affine combination of a set of control points, defining an interpolation scheme for any function defined on a set of control points. Numerous barycentric coordinate schemes have been proposed satisfying a large variety of properties. However, they typically define interpolation as a combination of all control points. Thus a local change in the value at a single control point will create a global change by propagation into the whole domain. In this context, we present a family of local barycentric coordinates (LBC), which select for each interior point a small set of control points and satisfy common requirements on barycentric coordinates, such as linearity, non-negativity, and smoothness. LBC are achieved through a convex optimization based on total variation, and provide a compact representation that reduces memory footprint and allows for fast deformations. Our experiments show that LBC provide more local and finer control on shape deformation than previous approaches, and lead to more intuitive deformation results. (literal)
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