Harmonic Map

Chapter

Abstract

Conformal maps are harmonic, but harmonic maps are not necessarily conformal. This chapter introduces algorithms to compute conformal maps using harmonic maps on piecewise linear triangular meshes. Specifically, algorithms to compute conformal maps between two closed genus zero surfaces or a topological disk surface and a unit planar disk are detailed in this chapter.

Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Centre for Advanced Computer StudiesUniversity of LouisianaLafayetteUSA
  2. 2.State University of New YorkStony BrookUSA
  3. 3.School of Computer Science and EngineeringNanyang Technological UniversitySingaporeSingapore
  4. 4.School of Computing, Informatics and Decision Systems EngineeringArizona State UniversityTempeUSA

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