{"publisher":"Springer Nature","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."}],"year":"2016","publication_identifier":{"eisbn":["978-3-319-39441-1"],"eissn":["1611-3349"],"issn":["0302-9743"],"isbn":["978-3-319-39440-4"]},"oa_version":"None","department":[{"_id":"HeEd"}],"extern":"1","status":"public","place":"Cham","date_created":"2019-01-08T20:44:24Z","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>","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.","short":"N. Sen, R. Biswas, P. Bhowmick, in:, Computational Topology in Image Context, Springer Nature, Cham, 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>.","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>.","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>"},"type":"book_chapter","month":"06","date_updated":"2022-01-28T08:01:22Z","title":"On some local topological properties of naive discrete sphere","article_processing_charge":"No","intvolume":"      9667","language":[{"iso":"eng"}],"quality_controlled":"1","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","page":"253-264","date_published":"2016-06-02T00:00:00Z","publication_status":"published","day":"02","publication":"Computational Topology in Image Context","conference":{"name":"CTIC: Computational Topology in Image Context","start_date":"2016-06-15","end_date":"2016-06-17","location":"Marseille, France"},"author":[{"first_name":"Nabhasmita","full_name":"Sen, Nabhasmita","last_name":"Sen"},{"first_name":"Ranita","id":"3C2B033E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-5372-7890","last_name":"Biswas","full_name":"Biswas, Ranita"},{"full_name":"Bhowmick, Partha","last_name":"Bhowmick","first_name":"Partha"}],"doi":"10.1007/978-3-319-39441-1_23","alternative_title":["LNCS"],"_id":"5805","volume":9667}