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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Jin, M., Gu, X., He, Y., Wang, Y. (2018). Harmonic Map. In: Conformal Geometry. Springer, Cham. https://doi.org/10.1007/978-3-319-75332-4_3
Download citation
DOI: https://doi.org/10.1007/978-3-319-75332-4_3
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-75330-0
Online ISBN: 978-3-319-75332-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)