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Subdividing prismatic meshes by cutting flow

  • Harvard University

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

This paper is motivated by the problem of subdividing a prismatic mesh to a tetrahedral mesh with prescribed boundary conditions and without inserting Steiner points. We show that this 3D subdivision problem can be modeled as a 2D cutting flow problem. Then we propose a complete solution to the cutting flow problem, covering all possible combinations of base domain topology and boundary condition. We not only provide provable sufficient and necessary conditions for existence of solutions, but also provide linear algorithms to compute a solution whenever there is one.

Original languageEnglish
Title of host publicationComputational Modeling of Objects Presented in Images
Subtitle of host publicationFundamentals, Methods, and Applications - 4th International Conference, CompIMAGE 2014, Proceedings
PublisherSpringer Verlag
Pages216-227
Number of pages12
ISBN (Print)9783319099934
DOIs
StatePublished - 2014
Event4th International Conference on Computational Modeling of Objects Presented in Images: Fundamentals, Methods, and Applications, CompIMAGE 2014 - Pittsburgh, PA, United States
Duration: Sep 3 2014Sep 5 2014

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume8641 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference4th International Conference on Computational Modeling of Objects Presented in Images: Fundamentals, Methods, and Applications, CompIMAGE 2014
Country/TerritoryUnited States
CityPittsburgh, PA
Period09/3/1409/5/14

Keywords

  • Cutting Flow Problem
  • Graph Algorithm
  • Prismatic Mesh
  • Tetrahedral Mesh

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