### 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 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*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

**The Minkowski sum of two simple surfaces generated by slope-monotone closed curves.** / Seong, Jun Kyung; Kim, Myung Soo; Sugihara, K.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings - Geometric Modeling and Processing: Theory and Applications, GMP 2002.*, 1027494, Institute of Electrical and Electronics Engineers Inc., pp. 33-42, Geometric Modeling and Processing, GMP 2002, Wako, Saitama, Japan, 02/7/10. https://doi.org/10.1109/GMAP.2002.1027494

}

TY - GEN

T1 - The Minkowski sum of two simple surfaces generated by slope-monotone closed curves

AU - Seong, Jun Kyung

AU - Kim, Myung Soo

AU - Sugihara, K.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84963787556&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84963787556&partnerID=8YFLogxK

U2 - 10.1109/GMAP.2002.1027494

DO - 10.1109/GMAP.2002.1027494

M3 - Conference contribution

AN - SCOPUS:84963787556

SN - 0769516742

SN - 9780769516745

SP - 33

EP - 42

BT - Proceedings - Geometric Modeling and Processing: Theory and Applications, GMP 2002

PB - Institute of Electrical and Electronics Engineers Inc.

ER -