--- res: bibo_abstract: - 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.@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 - foaf_Person: foaf_givenName: Valentin E. foaf_name: Brimkov, Valentin E. foaf_surname: Brimkov bibo_doi: 10.1007/978-3-319-26145-4_7 bibo_volume: 9448 dct_date: 2016^xs_gYear dct_isPartOf: - http://id.crossref.org/issn/0302-9743 - http://id.crossref.org/issn/1611-3349 - http://id.crossref.org/issn/978-3-319-26144-7 dct_language: eng dct_publisher: Springer Nature@ dct_title: On the connectivity and smoothness of discrete spherical circles@ ...