An Improved Algorithm for Computing the Volume of the Union of Cubes

被引：7
|
作者：
Agarwal, Pankaj K. [1 ]
机构：
[1] Duke Univ, Dept Comp Sci, Durham, NC 27706 USA
来源：
PROCEEDINGS OF THE TWENTY-SIXTH ANNUAL SYMPOSIUM ON COMPUTATIONAL GEOMETRY (SCG'10) | 2010年
关键词：
Geometric data structures; Union of cubes;
D O I：
10.1145/1810959.1811000
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Let (sic) be a set of n axis-aligned cubes in R(3), and let u((sic)) denote the union of (sic). We present an algorithm that computes the volume of u((sic)) in time O(n polylog(n)). The previously best known algorithm takes O(n(4/3) log(2) n) time.
引用
收藏
页码：230 / 239
页数：10
相关论文
共 50 条
  • [1] Computing the Volume of a Union of Balls: A Certified Algorithm
    Cazals, Frederic
    Kanhere, Harshad
    Loriot, Sebastien
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2011, 38 (01):
  • [2] An Improved Algorithm for Computing the Area of Union of Circles
    Li, Xiu-juan
    Chen, Jian-xun
    INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND MANAGEMENT ENGINEERING (ITME 2014), 2014, : 31 - 38
  • [3] Efficient Improved Marching Cubes Algorithm
    Du, Qinsheng
    Zhao, Jian
    Shi, Lijuan
    Wang, Lirong
    PROCEEDINGS OF 2012 2ND INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND NETWORK TECHNOLOGY (ICCSNT 2012), 2012, : 416 - 419
  • [4] The Multi-Tree Cubing algorithm for computing iceberg cubes
    Xing Li
    Howard J. Hamilton
    Kamran Karimi
    Liqiang Geng
    Journal of Intelligent Information Systems, 2009, 33 : 179 - 208
  • [5] The Multi-Tree Cubing algorithm for computing iceberg cubes
    Li, Xing
    Hamilton, Howard J.
    Karimi, Kamran
    Geng, Liqiang
    JOURNAL OF INTELLIGENT INFORMATION SYSTEMS, 2009, 33 (02) : 179 - 208
  • [6] An Improved Marching Cubes Algorithm Based on Edge Contraction
    Xu, Zhusheng
    Xiao, Chuangbai
    Xu, Xiao
    2010 IEEE 10TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS (ICSP2010), VOLS I-III, 2010, : 944 - 947
  • [7] An improved marching cubes method for surface reconstruction of volume data
    Jin, Jing
    Wang, Qiang
    Hao, Jiasheng
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 800 - 800
  • [8] Computing Skypattern Cubes
    Ugarte, Willy
    Boizumault, Patrice
    Loudni, Samir
    Cremilleux, Bruno
    21ST EUROPEAN CONFERENCE ON ARTIFICIAL INTELLIGENCE (ECAI 2014), 2014, 263 : 903 - 908
  • [9] UNION OF CONVEX HILBERT CUBES
    QUINN, J
    WONG, RYT
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 65 (01) : 171 - 176
  • [10] Improved algorithm of convex Hull computing
    Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao, 1 (13):
12345