Filling polyhedral molds

@article{Bose1998FillingPM,
  title={Filling polyhedral molds},
  author={Prosenjit Bose and Marc J. van Kreveld and Godfried T. Toussaint},
  journal={Computer-Aided Design},
  year={1998},
  volume={30},
  pages={245-254}
}
In the manufacturing industry, nding an orientation for a mold that eliminates surface defects and insures a complete ll after termination of the gravity casting process, is an important and diicult problem. We study the problem of determining a favorable position of a mold (modeled as a polyhedron), such that when it is lled, no air bubbles and ensuing surface defects arise. Given a polyhedron in a xed orientation, we present a linear time algorithm that determines whether the mold can be lled… CONTINUE READING

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