--- _id: '5802' abstract: - lang: eng text: This papers introduces a definition of digital primitives based on focal points and weighted distances (with positive weights). The proposed definition is applicable to general dimensions and covers in its gamut various regular curves and surfaces like circles, ellipses, digital spheres and hyperspheres, ellipsoids and k-ellipsoids, Cartesian k-ovals, etc. Several interesting properties are presented for this class of digital primitives such as space partitioning, topological separation, and connectivity properties. To demonstrate further the potential of this new way of defining digital primitives, we propose, as extension, another class of digital conics defined by focus-directrix combination. alternative_title: - LNCS article_processing_charge: No author: - first_name: Eric full_name: Andres, Eric last_name: Andres - 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: 'Andres E, Biswas R, Bhowmick P. Digital primitives defined by weighted focal set. In: 20th IAPR International Conference. Vol 10502. Cham: Springer Nature; 2017:388-398. doi:10.1007/978-3-319-66272-5_31' apa: 'Andres, E., Biswas, R., & Bhowmick, P. (2017). Digital primitives defined by weighted focal set. In 20th IAPR International Conference (Vol. 10502, pp. 388–398). Cham: Springer Nature. https://doi.org/10.1007/978-3-319-66272-5_31' chicago: 'Andres, Eric, Ranita Biswas, and Partha Bhowmick. “Digital Primitives Defined by Weighted Focal Set.” In 20th IAPR International Conference, 10502:388–98. Cham: Springer Nature, 2017. https://doi.org/10.1007/978-3-319-66272-5_31.' ieee: E. Andres, R. Biswas, and P. Bhowmick, “Digital primitives defined by weighted focal set,” in 20th IAPR International Conference, Vienna, Austria, 2017, vol. 10502, pp. 388–398. ista: 'Andres E, Biswas R, Bhowmick P. 2017. Digital primitives defined by weighted focal set. 20th IAPR International Conference. DGCI: International Conference on Discrete Geometry for Computer Imagery, LNCS, vol. 10502, 388–398.' mla: Andres, Eric, et al. “Digital Primitives Defined by Weighted Focal Set.” 20th IAPR International Conference, vol. 10502, Springer Nature, 2017, pp. 388–98, doi:10.1007/978-3-319-66272-5_31. short: E. Andres, R. Biswas, P. Bhowmick, in:, 20th IAPR International Conference, Springer Nature, Cham, 2017, pp. 388–398. conference: end_date: 2017-09-21 location: Vienna, Austria name: 'DGCI: International Conference on Discrete Geometry for Computer Imagery' start_date: 2017-09-19 date_created: 2019-01-08T20:42:39Z date_published: 2017-08-22T00:00:00Z date_updated: 2022-01-27T15:38:35Z day: '22' doi: 10.1007/978-3-319-66272-5_31 extern: '1' intvolume: ' 10502' language: - iso: eng month: '08' oa_version: None page: 388-398 place: Cham publication: 20th IAPR International Conference publication_identifier: eisbn: - 978-3-319-66272-5 eissn: - 1611-3349 isbn: - 978-3-319-66271-8 issn: - 0302-9743 publication_status: published publisher: Springer Nature quality_controlled: '1' status: public title: Digital primitives defined by weighted focal set type: conference user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 10502 year: '2017' ...