Bijective projection in a shell

Zhongshi Jiang, Teseo Schneider, Denis Zorin, Daniele Panozzo

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce an algorithm to convert a self-intersection free, orientable, and manifold triangle mesh T into a generalized prismatic shell equipped with a bijective projection operator to map T to a class of discrete surfaces contained within the shell whose normals satisfy a simple local condition. Properties can be robustly and efficiently transferred between these surfaces using the prismatic layer as a common parametrization domain. The combination of the prismatic shell construction and corresponding projection operator is a robust building block readily usable in many downstream applications, including the solution of PDEs, displacement maps synthesis, Boolean operations, tetrahedral meshing, geometric textures, and nested cages.

Original languageEnglish (US)
Article number247
JournalACM Transactions on Graphics
Volume39
Issue number6
DOIs
StatePublished - Nov 26 2020

Keywords

  • attribute transfer
  • bijective map
  • envelope
  • mesh adaptation
  • projection

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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