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Mesh Parameterization Methods and Their Applications
Foundations and Trends® in
Computer Graphics and Vision
Volume 2 Issue 2
DOI: 10.1561/0600000011
Mesh Parameterization Methods and Their Applications
Alla Sheffer
University of British Columbia, Canada,
sheffa@cs.ubc.ca
Emil Praun
Google, USA
Kenneth Rose
University of British Columbia, Canada,
kenrose@cs.ubc.ca
Abstract
We present a survey of recent methods for creating piecewise linear mappings between triangulations in 3D and simpler domains
such as planar regions, simplicial complexes, and spheres. We also discuss emerging tools such as global parameterization,
inter-surface mapping, and parameterization with constraints. We start by describing the wide range of applications where
parameterization tools have been used in recent years. We then briefly review the pertinent mathematical background and terminology,
before proceeding to survey the existing parameterization techniques. Our survey summarizes the main ideas of each technique
and discusses its main properties, comparing it to other methods available. Thus it aims to provide guidance to researchers
and developers when assessing the suitability of different methods for various applications. This survey focuses on the practical
aspects of the methods available, such as time complexity and robustness and shows multiple examples of parameterizations
generated using different methods, allowing the reader to visually evaluate and compare the results.
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