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Given two surfaces with the same topology, a bijective mapping between them exists. On [[Polygon mesh|triangular mesh]] surfaces, the problem of computing this mapping is called [[mesh]] [[parameterization]]. The parameter ___domain is the surface that the mesh gets mapped to.
Parameterization was mainly used for mapping textures to surfaces. Recently, it has become a powerful tool for many applications in mesh processing. Various techniques are developed for different types of parameter domains with different parameterization properties.
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