Topological mesh operators

Thomas Lewiner; Hélio Lopes; Esdras Medeiros; Geovan Tavares; Luiz Velho

doi:10.1016/j.cagd.2009.08.004

Geometric Modeling

Topological mesh operators

Thomas Lewiner, Hélio Lopes, Esdras Medeiros, Geovan Tavares, Luiz Velho

Computer Aided Geometric Design 27(1): pp. 1-22 (January 2010)

abstract

Abstract

In this paper we introduce an unified framework for topological manipulation on triangulated 2-manifolds with or without boundary. We show that there are two kinds of primitive operators on the underlying meshes: operators that change the topological characteristic of the mesh and operators that just modify its combinatorial structure. We present such operators and demonstrate that they provide a complete and coherent set of elementary operations for mesh construction and editing.

downloads

Downloads

PDF paper528 KB source code349 KB journal versiondoi ↗

cite

BibTeX

@article{tops_cagd,
  author        = {Thomas Lewiner and Hélio Lopes and Esdras Medeiros and Geovan Tavares and Luiz Velho},
  title         = {Topological mesh operators},
  year          = {2010},
  month         = {january},
  journal       = {Computer Aided Geometric Design},
  volume        = {27},
  number        = {1},
  pages         = {1--22},
  publisher     = {Elsevier},
  doi           = {10.1016/j.cagd.2009.08.004},
  url           = {https://thomas.lewiner.org/pdfs/tops_cagd.pdf}
}