1 Ocak 2014 Dergi makalesi Açık Erişim

Guler, R. A.; Tari, S.; Unal, G.

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  "@id": 61171, 
  "@type": "ScholarlyArticle", 
  "creator": [
    {
      "@type": "Person", 
      "affiliation": "Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey", 
      "name": "Guler, R. A."
    }, 
    {
      "@type": "Person", 
      "affiliation": "METU, Dept Comp Engn, TR-06800 Ankara, Turkey", 
      "name": "Tari, S."
    }, 
    {
      "@type": "Person", 
      "affiliation": "Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey", 
      "name": "Unal, G."
    }
  ], 
  "datePublished": "2014-01-01", 
  "description": "We present a novel perspective on shape characterization using the screened Poisson equation. We discuss that the effect of the screening parameter is a change of measure of the underlying metric space. Screening also indicates a conditioned random walker biased by the choice of measure. A continuum of shape fields is created by varying the screening parameter or, equivalently, the bias of the random walker. In addition to creating a regional encoding of the diffusion with a different bias, we further break down the influence of boundary interactions by considering a number of independent random walks, each emanating from a certain boundary point, whose superposition yields the screened Poisson field. Probing the screened Poisson equation from these two complementary perspectives leads to a high-dimensional hyperfield: a rich characterization of the shape that encodes global, local, interior, and boundary interactions. To extract particular shape information as needed in a compact way from the hyperfield, we apply various decompositions either to unveil parts of a shape or parts of a boundary or to create consistent mappings. The latter technique involves lower-dimensional embeddings, which we call screened Poisson encoding maps (SPEM). The expressive power of the SPEM is demonstrated via illustrative experiments as well as a quantitative shape retrieval experiment over a public benchmark database on which the SPEM method shows a high-ranking performance among the existing state-of-the-art shape retrieval methods.", 
  "headline": "Screened Poisson Hyperfields for Shape Coding", 
  "identifier": 61171, 
  "image": "https://aperta.ulakbim.gov.tr/static/img/logo/aperta_logo_with_icon.svg", 
  "license": "http://www.opendefinition.org/licenses/cc-by", 
  "name": "Screened Poisson Hyperfields for Shape Coding", 
  "url": "https://aperta.ulakbim.gov.tr/record/61171"
}