On some geometric optimization problems in layered manufacturing

Jayanth Majhi, Ravi Janardan, Michiel Smid, Prosenjit Gupta

Research output: Chapter in Book/Report/Conference proceedingConference contribution

14 Scopus citations


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 languageEnglish (US)
Title of host publicationAlgorithms and Data Structures - 5th International Workshop, WADS 1997, Proceedings
EditorsFrank Dehne, Jorg-Rudiger Sack, Andrew Rau-Chaplin, Roberto Tamassia
PublisherSpringer Verlag
Number of pages14
ISBN (Print)3540633073, 9783540633075
StatePublished - 1997
Event5th International Workshop on Algorithms and Data Structures, WADS 1997 - Halifax, Canada
Duration: Aug 6 1997Aug 8 1997

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349


Other5th International Workshop on Algorithms and Data Structures, WADS 1997

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1997.


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