### Abstract

We present an algorithm for computing Minkowski sums among surfaces of revolution and surfaces of linear extrusion, generated by slope-monotone closed curves. The special structure of these simple surfaces allows the process of normal matching between two surfaces to be expressed as an explicit equation. Based on this insight, we also present an efficient algorithm for computing the distance between two simple surfaces, even though they may in general be non-convex. Using an experimental implementation, the distance between two surfaces of revolution was computed in less than 0.5 msec on average.

Original language | English |
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Title of host publication | Proceedings - Geometric Modeling and Processing: Theory and Applications, GMP 2002 |

Publisher | Institute of Electrical and Electronics Engineers Inc. |

Pages | 33-42 |

Number of pages | 10 |

ISBN (Print) | 0769516742, 9780769516745 |

DOIs | |

Publication status | Published - 2002 |

Externally published | Yes |

Event | Geometric Modeling and Processing, GMP 2002 - Wako, Saitama, Japan Duration: 2002 Jul 10 → 2002 Jul 12 |

### Other

Other | Geometric Modeling and Processing, GMP 2002 |
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Country | Japan |

City | Wako, Saitama |

Period | 02/7/10 → 02/7/12 |

### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Geometry and Topology
- Modelling and Simulation

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## Cite this

Seong, J. K., Kim, M. S., & Sugihara, K. (2002). The Minkowski sum of two simple surfaces generated by slope-monotone closed curves. In

*Proceedings - Geometric Modeling and Processing: Theory and Applications, GMP 2002*(pp. 33-42). [1027494] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/GMAP.2002.1027494