Integrable PolyVector Fields

Olga Diamanti, Amir Vaxman, Daniele Panozzo, Olga Sorkine-Hornung

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

We present a framework for designing curl-free tangent vector fields on discrete surfaces. Such vector fields are gradients of locally-defined scalar functions, and this property is beneficial for creating surface parameterizations, since the gradients of the parameterization coordinate functions are then exactly aligned with the designed fields. We introduce a novel definition for discrete curl between unordered sets of vectors (PolyVectors), and devise a curl-eliminating continuous optimization that is independent of the matchings between them. Our algorithm naturally places the singularities required to satisfy the user-provided alignment constraints, and our fields are the gradients of an inversion-free parameterization by design.
Original languageEnglish
Article number38
Number of pages12
JournalACM Transactions on Graphics
Issue number4
Publication statusPublished - 27 Jul 2015
EventSIGGRAPH 2015 - Los Angeles, United States
Duration: 9 Aug 201513 Aug 2015
Conference number: 8

Keywords / Materials (for Non-textual outputs)

  • PolyVectors
  • curl-free fields
  • quad meshing


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