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International Journal of Computer Mathematics Volume 79, 2002 - Issue 10
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Original Articles

Computing An Optimal Hatching Direction In Layered Manufacturing

Jo¨rg Schwerdt Department of Computer Science, University of Magdeburg, Magdeburg, D-39106, Germany
,
Michiel Smid Department of Computer Science, University of Magdeburg, Magdeburg, D-39106, Germany
,
Man Chung Hon Department of Computer Science and Engineering, University of Minnesota, Minneapolis, MN, 55455, USA
&
Ravi Janardan Department of Computer Science and Engineering, University of Minnesota, Minneapolis, MN, 55455, USA
Pages 1067-1081 | Published online: 15 Sep 2010

  • Agarwal , P. K. and Desikan , P. K. Approximation algorithms for layered manufacturing . Proc. 11th ACM-SIAM Sympos. Discrete Algorithms . pp. 528 – 537 .
  • Asberg , B. , Blanco , G. , Bose , P. , Garcia-Lopez , J. , Overmars , M. , Toussaint , G. , Wilfong , G. and Zhu , B. 1997 . Feasibility of design in stereolithography . Algorithmica , 19 : 61 – 83 .
  • Burnikel , C. , Fleischer , R. , Mehlhorn , K. and Schirra , S. Efficient exact geometric computation made easy . Proc. 15th Annu. ACM Sympos. Comput. Geom. pp. 341 – 350 .
  • Hon, M. C., Janardan, R. Schwerdt, J., and Smid, M., Minimizing the total projection of a set of vectors, with applications to layered manufacturing, http://www.es.umn.edu/janardan/min-proj.ps.
  • Jacobs , P. F. 1992 . Rapid Prototyping & Manufacturing: Fundamentals of StereoLithography , New York : McGraw-Hill .
  • Majhi , J. , Janardan , R. , Schwerdt , J. , Smid , M. and Gupta , P. 1999 . Minimizing support structures and trapped area in two-dimensional layered manufacturing . Comput. Geom. Theory Appl. , 12 : 241 – 267 .
  • Majhi , J. , Janardan , R. , Smid , M. and Gupta , P. 1999 . On some geometric optimization problems in layered manufacturing . Comput. Geom. Theory Appl. , 12 : 219 – 239 .
  • Majhi , J. , Janardan , R. , Smid , M. and Schwerdt , J. Multi-criteria geometric optimization problems in layered manufacturing . Proc. 14th Annu. ACM Sympos. Comput. Geom. pp. 19 – 28 .
  • McMains , S. and Séquin , C. A coherent sweep plane slicer for layered manufacturing . Proc. 5th ACM Symposium on Solid Modeling and Applications . pp. 285 – 295 .
  • Mehlhorn , K. and Näher , S. 1999 . LEDA: A Platform for Combinatorial and Geometric Computing , Cambridge, , U. K. : Cambridge University Press .
  • Mehlhorn , K. , Näher , S. , Seel , M. and Uhrig , C. The LEDA User Manual , Saarbrücken, , Germany : Max-Planck-Institute for computer science . http://www.mpi-sb.mpg.de/LEDA/MANUAL/MANUAL.html
  • Sarma , S. E. 1999 . The crossing function and its application to zig-zag tool paths . Computer-Aided Design , 31 : 881 – 890 .
  • Schwerdt , J. , Smid , M. , Janardan , R. and Johnson , E. Protecting critical facets in layered manufacturing: implementation and experimental results . Proc. 2nd Workshop on Algorithm Engineering and Experiments . pp. 43 – 57 .
  • Schwerdt , J. , Smid , M. , Janardan , R. , Johnson , E. and Majhi , J. 2000 . Protecting critical facets in layered manufacturing . Comput. Geom. Theory Appl. , 16 : 187 – 210 .
  • Schwerdt , J. , Smid , M. , Majhi , J. and Janardan , R. 1999 . Computing the width of a three-dimensional point set: An experimental study . ACM Journal of Experimental Algorithmics , 4 Article 8

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