Digital Primitives Defined by Weighted Focal Set

E. Andres, R. Biswas, P. Bhowmick, 10502 (2017) 388–398.

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Conference Paper | Published | English
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Abstract
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.
Publishing Year
Date Published
2017-08-22
Volume
10502
Page
388-398
Conference
DGCI: International Conference on Discrete Geometry for Computer Imagery
Conference Location
Vienna, Austria
Conference Date
2017-09-19 – 2017-09-21
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Cite this

Andres E, Biswas R, Bhowmick P. Digital Primitives Defined by Weighted Focal Set. 2017;10502:388-398. doi:10.1007/978-3-319-66272-5_31
Andres, E., Biswas, R., & Bhowmick, P. (2017). Digital Primitives Defined by Weighted Focal Set. Presented at the DGCI: International Conference on Discrete Geometry for Computer Imagery, Cham: Springer International Publishing. https://doi.org/10.1007/978-3-319-66272-5_31
Andres, Eric, Ranita Biswas, and Partha Bhowmick. “Digital Primitives Defined by Weighted Focal Set.” Lecture Notes in Computer Science. Cham: Springer International Publishing, 2017. https://doi.org/10.1007/978-3-319-66272-5_31.
E. Andres, R. Biswas, and P. Bhowmick, “Digital Primitives Defined by Weighted Focal Set,” vol. 10502. Springer International Publishing, Cham, pp. 388–398, 2017.
Andres E, Biswas R, Bhowmick P. 2017. Digital Primitives Defined by Weighted Focal Set. 10502, 388–398.
Andres, Eric, et al. Digital Primitives Defined by Weighted Focal Set. Vol. 10502, Springer International Publishing, 2017, pp. 388–98, doi:10.1007/978-3-319-66272-5_31.

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