1 Ocak 2014 Dergi makalesi Açık Erişim

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

Citation Style Language JSON

{
  "DOI": "10.1137/140956117", 
  "abstract": "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.", 
  "author": [
    {
      "family": "Guler", 
      "given": " R. A."
    }, 
    {
      "family": "Tari", 
      "given": " S."
    }, 
    {
      "family": "Unal", 
      "given": " G."
    }
  ], 
  "container_title": "SIAM JOURNAL ON IMAGING SCIENCES", 
  "id": "61171", 
  "issue": "4", 
  "issued": {
    "date-parts": [
      [
        2014, 
        1, 
        1
      ]
    ]
  }, 
  "page": "2558-2590", 
  "title": "Screened Poisson Hyperfields for Shape Coding", 
  "type": "article-journal", 
  "volume": "7"
}