### Abstract

How to compute and represent the Gaussian approximations of planar curved objects is described. Also considered are various applications of the Gaussian approximation to various primitive geometric operations on monotone curve segments. The exact solutions for these problems can be computed by solving simultaneous polynomial equations; however, this requires an intensive computation time. Efficient heuristic approximation algorithms using simple binary subdivisions on the original geometric components are suggested. It is shown that simple data structures such as arrays and circular lists can be used to represent the Gaussian approximations of planar curved objects.

Original language | English |
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Title of host publication | Proc 90 IEEE Int Conf Rob Autom |

Publisher | Publ by IEEE |

Pages | 317-322 |

Number of pages | 6 |

ISBN (Print) | 0818620617 |

Publication status | Published - 1990 |

Event | Proceedings of the 1990 IEEE International Conference on Robotics and Automation - Cincinnati, OH, USA Duration: 1990 May 13 → 1990 May 18 |

### Publication series

Name | Proc 90 IEEE Int Conf Rob Autom |
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### Other

Other | Proceedings of the 1990 IEEE International Conference on Robotics and Automation |
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City | Cincinnati, OH, USA |

Period | 90/5/13 → 90/5/18 |

### All Science Journal Classification (ASJC) codes

- Engineering(all)

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## Cite this

*Proc 90 IEEE Int Conf Rob Autom*(pp. 317-322). (Proc 90 IEEE Int Conf Rob Autom). Publ by IEEE.