Definitions and Basic Properties of Voronoi Diagrams

Atsuyuki Okabe; Barry Boots; Kokichi Sugihara; Sung Nok Chiu; D. G. Kendall

doi:10.1002/9780470317013.ch2

Definitions and Basic Properties of Voronoi Diagrams

Atsuyuki Okabe
, Barry Boots
, Kokichi Sugihara
, Sung Nok Chiu
, D. G. Kendall

Department of Mathematics

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

Original language	English
Title of host publication	Spatial Tessellations
Subtitle of host publication	Concepts and Applications of Voronoi Diagrams
Editors	Vic Barnett, Noel A. C. Cressie, Nicholas I. Fisher, Iain M. Johnstone, J. B. Kadane, David G. Kendall, David W. Scott, Bernard W. Silverman, Adrian F. M. Smith, Jozef L. Teugels, Ralph A. Bradley, J. Stuart Hunter
Publisher	John Wiley & Sons Ltd
Chapter	2
Pages	43-112
Number of pages	70
Edition	2nd
ISBN (Electronic)	9780470317013
ISBN (Print)	9780471986355
DOIs	https://doi.org/10.1002/9780470317013.ch2
Publication status	Published - 12 Jul 2000

Publication series

Name	Wiley Series in Probability and Statistics
Publisher	John Wiley & Sons Ltd.
ISSN (Electronic)	1940-6347

Access to Document

10.1002/9780470317013.ch2

Cite this

Okabe, A., Boots, B., Sugihara, K., Chiu, S. N., & Kendall, D. G. (2000). Definitions and Basic Properties of Voronoi Diagrams. In V. Barnett, N. A. C. Cressie, N. I. Fisher, I. M. Johnstone, J. B. Kadane, D. G. Kendall, D. W. Scott, B. W. Silverman, A. F. M. Smith, J. L. Teugels, R. A. Bradley, & J. S. Hunter (Eds.), Spatial Tessellations: Concepts and Applications of Voronoi Diagrams (2nd ed., pp. 43-112). (Wiley Series in Probability and Statistics). John Wiley & Sons Ltd. https://doi.org/10.1002/9780470317013.ch2

Okabe, Atsuyuki ; Boots, Barry ; Sugihara, Kokichi et al. / Definitions and Basic Properties of Voronoi Diagrams. Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. editor / Vic Barnett ; Noel A. C. Cressie ; Nicholas I. Fisher ; Iain M. Johnstone ; J. B. Kadane ; David G. Kendall ; David W. Scott ; Bernard W. Silverman ; Adrian F. M. Smith ; Jozef L. Teugels ; Ralph A. Bradley ; J. Stuart Hunter. 2nd. ed. John Wiley & Sons Ltd, 2000. pp. 43-112 (Wiley Series in Probability and Statistics).

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title = "Definitions and Basic Properties of Voronoi Diagrams",

author = "Atsuyuki Okabe and Barry Boots and Kokichi Sugihara and Chiu, \{Sung Nok\} and Kendall, \{D. G.\}",

note = "Publisher Copyright: {\textcopyright} 2000 by John Wiley \& Sons Ltd.",

year = "2000",

month = jul,

day = "12",

doi = "10.1002/9780470317013.ch2",

language = "English",

isbn = "9780471986355",

series = "Wiley Series in Probability and Statistics",

publisher = "John Wiley \& Sons Ltd",

pages = "43--112",

editor = "\{ Barnett\}, Vic and Cressie, \{Noel A. C.\} and Fisher, \{Nicholas I.\} and Johnstone, \{Iain M. \} and Kadane, \{J. B.\} and Kendall, \{David G.\} and Scott, \{David W.\} and Silverman, \{Bernard W.\} and Smith, \{Adrian F. M.\} and Teugels, \{Jozef L.\} and Bradley, \{Ralph A.\} and Hunter, \{J. Stuart\}",

booktitle = "Spatial Tessellations",

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Okabe, A, Boots, B, Sugihara, K, Chiu, SN & Kendall, DG 2000, Definitions and Basic Properties of Voronoi Diagrams. in V Barnett, NAC Cressie, NI Fisher, IM Johnstone, JB Kadane, DG Kendall, DW Scott, BW Silverman, AFM Smith, JL Teugels, RA Bradley & JS Hunter (eds), Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. 2nd edn, Wiley Series in Probability and Statistics, John Wiley & Sons Ltd, pp. 43-112. https://doi.org/10.1002/9780470317013.ch2

Definitions and Basic Properties of Voronoi Diagrams. / Okabe, Atsuyuki; Boots, Barry; Sugihara, Kokichi et al.
Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. ed. / Vic Barnett; Noel A. C. Cressie; Nicholas I. Fisher; Iain M. Johnstone; J. B. Kadane; David G. Kendall; David W. Scott; Bernard W. Silverman; Adrian F. M. Smith; Jozef L. Teugels; Ralph A. Bradley; J. Stuart Hunter. 2nd. ed. John Wiley & Sons Ltd, 2000. p. 43-112 (Wiley Series in Probability and Statistics).

Research output: Chapter in book/report/conference proceeding › Chapter › peer-review

TY - CHAP

T1 - Definitions and Basic Properties of Voronoi Diagrams

AU - Okabe, Atsuyuki

AU - Boots, Barry

AU - Sugihara, Kokichi

AU - Chiu, Sung Nok

AU - Kendall, D. G.

PY - 2000/7/12

Y1 - 2000/7/12

U2 - 10.1002/9780470317013.ch2

DO - 10.1002/9780470317013.ch2

M3 - Chapter

SN - 9780471986355

T3 - Wiley Series in Probability and Statistics

SP - 43

EP - 112

BT - Spatial Tessellations

A2 - Barnett, Vic

A2 - Cressie, Noel A. C.

A2 - Fisher, Nicholas I.

A2 - Johnstone, Iain M.

A2 - Kadane, J. B.

A2 - Kendall, David G.

A2 - Scott, David W.

A2 - Silverman, Bernard W.

A2 - Smith, Adrian F. M.

A2 - Teugels, Jozef L.

A2 - Bradley, Ralph A.

A2 - Hunter, J. Stuart

PB - John Wiley & Sons Ltd

ER -

Okabe A, Boots B, Sugihara K, Chiu SN, Kendall DG. Definitions and Basic Properties of Voronoi Diagrams. In Barnett V, Cressie NAC, Fisher NI, Johnstone IM, Kadane JB, Kendall DG, Scott DW, Silverman BW, Smith AFM, Teugels JL, Bradley RA, Hunter JS, editors, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. 2nd ed. John Wiley & Sons Ltd. 2000. p. 43-112. (Wiley Series in Probability and Statistics). doi: 10.1002/9780470317013.ch2