### Abstract

We present several efficient dynamic data structures for point-enclosure queries involving convex fat objects in ℝ^{2} or ℝ^{3}. These structures are more efficient than alternative known structures because they exploit the fatness of the objects. We then apply these structures to obtain efficient solutions to three problems: (i) Finding a perfect matching between a set of points and a set of convex fat objects. (ii) Finding a piercing set for a collection of convex fat objects, whose size is within a constant factor off the optimum size. (iii) Constructing a data structure for answering bounded-length segment- shooting queries: Given a set of fat objects in the plane as above, and a query oriented segment (formula presented) whose length is relatively short, find the first object hit by (formula presented).

Original language | English (US) |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Publisher | Springer Verlag |

Pages | 297-306 |

Number of pages | 10 |

Volume | 1272 |

ISBN (Print) | 3540633073, 9783540633075 |

Publication status | Published - 1997 |

Externally published | Yes |

Event | 5th International Workshop on Algorithms and Data Structures, WADS 1997 - Halifax, Canada Duration: Aug 6 1997 → Aug 8 1997 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 1272 |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 5th International Workshop on Algorithms and Data Structures, WADS 1997 |
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Country | Canada |

City | Halifax |

Period | 8/6/97 → 8/8/97 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(Vol. 1272, pp. 297-306). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1272). Springer Verlag.