--- _id: '5809' abstract: - lang: eng text: A discrete spherical circle is a topologically well-connected 3D circle in the integer space, which belongs to a discrete sphere as well as a discrete plane. It is one of the most important 3D geometric primitives, but has not possibly yet been studied up to its merit. This paper is a maiden exposition of some of its elementary properties, which indicates a sense of its profound theoretical prospects in the framework of digital geometry. We have shown how different types of discretization can lead to forbidden and admissible classes, when one attempts to define the discretization of a spherical circle in terms of intersection between a discrete sphere and a discrete plane. Several fundamental theoretical results have been presented, the algorithm for construction of discrete spherical circles has been discussed, and some test results have been furnished to demonstrate its practicality and usefulness. article_processing_charge: No author: - 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 - first_name: Valentin E. full_name: Brimkov, Valentin E. last_name: Brimkov citation: ama: 'Biswas R, Bhowmick P, Brimkov VE. On the connectivity and smoothness of discrete spherical circles. In: Combinatorial Image Analysis. Vol 9448. Cham: Springer Nature; 2016:86-100. doi:10.1007/978-3-319-26145-4_7' apa: 'Biswas, R., Bhowmick, P., & Brimkov, V. E. (2016). On the connectivity and smoothness of discrete spherical circles. In Combinatorial image analysis (Vol. 9448, pp. 86–100). Cham: Springer Nature. https://doi.org/10.1007/978-3-319-26145-4_7' chicago: 'Biswas, Ranita, Partha Bhowmick, and Valentin E. Brimkov. “On the Connectivity and Smoothness of Discrete Spherical Circles.” In Combinatorial Image Analysis, 9448:86–100. Cham: Springer Nature, 2016. https://doi.org/10.1007/978-3-319-26145-4_7.' ieee: 'R. Biswas, P. Bhowmick, and V. E. Brimkov, “On the connectivity and smoothness of discrete spherical circles,” in Combinatorial image analysis, vol. 9448, Cham: Springer Nature, 2016, pp. 86–100.' ista: 'Biswas R, Bhowmick P, Brimkov VE. 2016.On the connectivity and smoothness of discrete spherical circles. In: Combinatorial image analysis. vol. 9448, 86–100.' mla: Biswas, Ranita, et al. “On the Connectivity and Smoothness of Discrete Spherical Circles.” Combinatorial Image Analysis, vol. 9448, Springer Nature, 2016, pp. 86–100, doi:10.1007/978-3-319-26145-4_7. short: R. Biswas, P. Bhowmick, V.E. Brimkov, in:, Combinatorial Image Analysis, Springer Nature, Cham, 2016, pp. 86–100. conference: end_date: 2015-11-27 location: Kolkata, India name: 'IWCIA: International Workshop on Combinatorial Image Analysis' start_date: 2015-11-24 date_created: 2019-01-08T20:45:19Z date_published: 2016-01-06T00:00:00Z date_updated: 2022-01-28T08:13:03Z day: '06' department: - _id: HeEd doi: 10.1007/978-3-319-26145-4_7 extern: '1' intvolume: ' 9448' language: - iso: eng month: '01' oa_version: None page: 86-100 place: Cham publication: Combinatorial image analysis publication_identifier: eisbn: - 978-3-319-26145-4 eissn: - 1611-3349 isbn: - 978-3-319-26144-7 issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' status: public title: On the connectivity and smoothness of discrete spherical circles type: book_chapter user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 9448 year: '2016' ...