---
_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'
...