Abstract
Efficient geometric algorithms are given for optimization problems arising in layered manufacturing, where a 3D object is built by slicing its CAD model into layers and manufacturing the layers successively. The problems considered include minimizing the degree of stair-stepping on the surfaces of the manufactured object, minimizing the volume of the so-called support structures used, and minimizing the contact area between the supports and the manufactured object-all of which are factors that affect the speed and accuracy of the process. The stair-step minimization algorithm is valid for any polyhedron, while the support minimization algorithms are applicable to convex polyhedra only. Algorithms are also given for optimizing supports for non-convex, simple polygons. The techniques used include construction and searching of certain arrangements on the sphere, 3D convex hulls, halfplane range searching, ray-shooting, visibility, and constrained optimization.
Original language | English (US) |
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Title of host publication | Algorithms and Data Structures - 5th International Workshop, WADS 1997, Proceedings |
Editors | Frank Dehne, Jorg-Rudiger Sack, Andrew Rau-Chaplin, Roberto Tamassia |
Publisher | Springer Verlag |
Pages | 136-149 |
Number of pages | 14 |
ISBN (Print) | 3540633073, 9783540633075 |
DOIs | |
State | Published - 1997 |
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) | 0302-9743 |
ISSN (Electronic) | 1611-3349 |
Other
Other | 5th International Workshop on Algorithms and Data Structures, WADS 1997 |
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Country/Territory | Canada |
City | Halifax |
Period | 8/6/97 → 8/8/97 |
Bibliographical note
Publisher Copyright:© Springer-Verlag Berlin Heidelberg 1997.