Mesh parameterization is a powerful geometry processing tool with numerous computer graphics applications, from texture mapping to animation transfer. This course outlines its mathematical foundations, describes recent methods for parameterizing meshes over various domains, discusses emerging tools like global parameterization and inter-surface mapping, and demonstrates a variety of parameterization applications.

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Figure 1: Parameterization of the Gargoyle model using (a) our As-Similar-As-Possible (ASAP) procedure, (b)

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