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 |
Subtitle of host publication | Theory and Applications, GMP 2002 |
Editors | Hiromasa Suzuki, Ralph Martin |
Publisher | Institute of Electrical and Electronics Engineers Inc. |
Pages | 33-42 |
Number of pages | 10 |
ISBN (Electronic) | 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 |
Publication series
Name | Proceedings - Geometric Modeling and Processing: Theory and Applications, GMP 2002 |
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Other
Other | Geometric Modeling and Processing, GMP 2002 |
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Country/Territory | Japan |
City | Wako, Saitama |
Period | 02/7/10 → 02/7/12 |
Bibliographical note
Funding Information:The authors would like to thank the anonymous reviewers for their useful comments. All the algorithms and figures presented in this paper were implemented and generated using the IRIT solid modeling system [4] developed at the Technion, Israel. This research was supported in part by the Korean Ministry of Information and Communication (MIC) under the program of IT Research Center for CGVR, and in part by the Korean Ministry of Science and Technology (MOST) under the National Research Lab Project.
Publisher Copyright:
© 2002 IEEE.
ASJC Scopus subject areas
- Engineering (miscellaneous)
- Geometry and Topology
- Modelling and Simulation