Incidences with k-non-degenerate sets and their applications

Abdul Basit; Adam  Sheffer

doi:10.20382/jocg.v5i1a14

Incidences with k-non-degenerate sets and their applications

Abdul Basit, Adam Sheffer

Research output: Contribution to journal › Article › Research › peer-review

Abstract

We study point-sphere and point-plane incidences in the three-dimensional space. In particular, for , we say that a set of spheres (resp., of planes) is -non-degenerate if no circle is contained in spheres of the set (resp., if no line is contained in planes of the set).

Original language	English
Pages (from-to)	284–302
Number of pages	19
Journal	Journal of Computational Geometry
Volume	5
Issue number	1
DOIs	https://doi.org/10.20382/jocg.v5i1a14
Publication status	Published - 10 Dec 2014
Externally published	Yes

Access to Document

10.20382/jocg.v5i1a14Licence: CC BY

Cite this

@article{8b03977b0c214602ac4796230642360c,

title = "Incidences with k-non-degenerate sets and their applications",

abstract = "We study point-sphere and point-plane incidences in the three-dimensional space. In particular, for , we say that a set of spheres (resp., of planes) is -non-degenerate if no circle is contained in spheres of the set (resp., if no line is contained in planes of the set). ",

author = "Abdul Basit and Adam Sheffer",

year = "2014",

month = dec,

day = "10",

doi = "10.20382/jocg.v5i1a14",

language = "English",

volume = "5",

pages = "284–302",

journal = "Journal of Computational Geometry",

issn = "1920-180X",

publisher = "Carleton University, Computational Geometry Laboratory",

number = "1",

}

TY - JOUR

T1 - Incidences with k-non-degenerate sets and their applications

AU - Basit, Abdul

AU - Sheffer, Adam

PY - 2014/12/10

Y1 - 2014/12/10

N2 - We study point-sphere and point-plane incidences in the three-dimensional space. In particular, for , we say that a set of spheres (resp., of planes) is -non-degenerate if no circle is contained in spheres of the set (resp., if no line is contained in planes of the set).

AB - We study point-sphere and point-plane incidences in the three-dimensional space. In particular, for , we say that a set of spheres (resp., of planes) is -non-degenerate if no circle is contained in spheres of the set (resp., if no line is contained in planes of the set).

U2 - 10.20382/jocg.v5i1a14

DO - 10.20382/jocg.v5i1a14

M3 - Article

SN - 1920-180X

VL - 5

SP - 284

EP - 302

JO - Journal of Computational Geometry

JF - Journal of Computational Geometry

IS - 1

ER -