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- W1493408602 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." @default.
- W1493408602 created "2016-06-24" @default.
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- W1493408602 date "1997-01-01" @default.
- W1493408602 modified "2023-10-12" @default.
- W1493408602 title "On some geometric optimization problems in layered manufacturing" @default.
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- W1493408602 doi "https://doi.org/10.1007/3-540-63307-3_54" @default.
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