---
res:
  bibo_abstract:
  - This paper presents a novel study on the functional gradation of coordinate planes
    in connection with the thinnest and tunnel-free (i.e., naive) discretization of
    sphere in the integer space. For each of the 48-symmetric quadraginta octants
    of naive sphere with integer radius and integer center, we show that the corresponding
    voxel set forms a bijection with its projected pixel set on a unique coordinate
    plane, which thereby serves as its functional plane. We use this fundamental property
    to prove several other theoretical results for naive sphere. First, the quadraginta
    octants form symmetry groups and subgroups with certain equivalent topological
    properties. Second, a naive sphere is always unique and consists of fewest voxels.
    Third, it is efficiently constructible from its functional-plane projection. And
    finally, a special class of 4-symmetric discrete 3D circles can be constructed
    on a naive sphere based on back projection from the functional plane.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Ranita
      foaf_name: Biswas, Ranita
      foaf_surname: Biswas
      foaf_workInfoHomepage: http://www.librecat.org/personId=3C2B033E-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-5372-7890
  - foaf_Person:
      foaf_givenName: Partha
      foaf_name: Bhowmick, Partha
      foaf_surname: Bhowmick
  bibo_doi: 10.1007/s10851-017-0718-4
  bibo_issue: '1'
  bibo_volume: 59
  dct_date: 2017^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/09249907
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: On the functionality and usefulness of Quadraginta octants of naive sphere@
...