---
_id: '5805'
abstract:
- lang: eng
  text: Discretization of sphere in the integer space follows a particular discretization
    scheme, which, in principle, conforms to some topological model. This eventually
    gives rise to interesting topological properties of a discrete spherical surface,
    which need to be investigated for its analytical characterization. This paper
    presents some novel results on the local topological properties of the naive model
    of discrete sphere. They follow from the bijection of each quadraginta octant
    of naive sphere with its projection map called f -map on the corresponding functional
    plane and from the characterization of certain jumps in the f-map. As an application,
    we have shown how these properties can be used in designing an efficient reconstruction
    algorithm for a naive spherical surface from an input voxel set when it is sparse
    or noisy.
alternative_title:
- LNCS
article_processing_charge: No
author:
- first_name: Nabhasmita
  full_name: Sen, Nabhasmita
  last_name: Sen
- first_name: Ranita
  full_name: Biswas, Ranita
  id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
  last_name: Biswas
  orcid: 0000-0002-5372-7890
- first_name: Partha
  full_name: Bhowmick, Partha
  last_name: Bhowmick
citation:
  ama: 'Sen N, Biswas R, Bhowmick P. On some local topological properties of naive
    discrete sphere. In: <i>Computational Topology in Image Context</i>. Vol 9667.
    Cham: Springer Nature; 2016:253-264. doi:<a href="https://doi.org/10.1007/978-3-319-39441-1_23">10.1007/978-3-319-39441-1_23</a>'
  apa: 'Sen, N., Biswas, R., &#38; Bhowmick, P. (2016). On some local topological
    properties of naive discrete sphere. In <i>Computational Topology in Image Context</i>
    (Vol. 9667, pp. 253–264). Cham: Springer Nature. <a href="https://doi.org/10.1007/978-3-319-39441-1_23">https://doi.org/10.1007/978-3-319-39441-1_23</a>'
  chicago: 'Sen, Nabhasmita, Ranita Biswas, and Partha Bhowmick. “On Some Local Topological
    Properties of Naive Discrete Sphere.” In <i>Computational Topology in Image Context</i>,
    9667:253–64. Cham: Springer Nature, 2016. <a href="https://doi.org/10.1007/978-3-319-39441-1_23">https://doi.org/10.1007/978-3-319-39441-1_23</a>.'
  ieee: 'N. Sen, R. Biswas, and P. Bhowmick, “On some local topological properties
    of naive discrete sphere,” in <i>Computational Topology in Image Context</i>,
    vol. 9667, Cham: Springer Nature, 2016, pp. 253–264.'
  ista: 'Sen N, Biswas R, Bhowmick P. 2016.On some local topological properties of
    naive discrete sphere. In: Computational Topology in Image Context. LNCS, vol.
    9667, 253–264.'
  mla: Sen, Nabhasmita, et al. “On Some Local Topological Properties of Naive Discrete
    Sphere.” <i>Computational Topology in Image Context</i>, vol. 9667, Springer Nature,
    2016, pp. 253–64, doi:<a href="https://doi.org/10.1007/978-3-319-39441-1_23">10.1007/978-3-319-39441-1_23</a>.
  short: N. Sen, R. Biswas, P. Bhowmick, in:, Computational Topology in Image Context,
    Springer Nature, Cham, 2016, pp. 253–264.
conference:
  end_date: 2016-06-17
  location: Marseille, France
  name: 'CTIC: Computational Topology in Image Context'
  start_date: 2016-06-15
date_created: 2019-01-08T20:44:24Z
date_published: 2016-06-02T00:00:00Z
date_updated: 2022-01-28T08:01:22Z
day: '02'
department:
- _id: HeEd
doi: 10.1007/978-3-319-39441-1_23
extern: '1'
intvolume: '      9667'
language:
- iso: eng
month: '06'
oa_version: None
page: 253-264
place: Cham
publication: Computational Topology in Image Context
publication_identifier:
  eisbn:
  - 978-3-319-39441-1
  eissn:
  - 1611-3349
  isbn:
  - 978-3-319-39440-4
  issn:
  - 0302-9743
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
status: public
title: On some local topological properties of naive discrete sphere
type: book_chapter
user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9
volume: 9667
year: '2016'
...