Operator-based representations of discrete tangent vector fields

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


Tangent vector fields are prominent objects in geometry processing and are used in a myriad of applications, e.g., texture synthesis, fluid simulation and polygonal remeshing. It is, however, challenging to represent, analyze and synthesize tangent vector fields on discrete surfaces such as triangle meshes. The goal of this chapter is to review the use of linear operators for these tasks. We introduce the formulation, show the advantages and demonstrate the unique applications such a representation makes possible.

Original languageEnglish
Title of host publicationProcessing, Analyzing and Learning of Images, Shapes, and Forms
Subtitle of host publicationPart 2
Number of pages31
StatePublished - 1 Jan 2019

Publication series

NameHandbook of Numerical Analysis


  • 65Dxx
  • 68Uxx
  • Discrete differential geometry
  • Geometry processing
  • Linear operators
  • Tangent vector fields

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modelling and Simulation
  • Computational Mathematics
  • Applied Mathematics


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