Mesh Parameterization Methods and Their Applications

Author(s): Alla Sheffer;Emil Praun;Kenneth Rose

Source:
    Journal:Foundations and Trends® in Computer Graphics and Vision
    ISSN Print:1572-2740,  ISSN Online:1572-2759
    Publisher:Now Publishers
    Volume 2 Number 2,

Document Type: Article
Pages: 67 (105-171)
DOI: 10.1561/0600000011

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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