Mesh parameterization: Difference between revisions

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Given two [[surfacessurface (topology)|surface]]s 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 is mapped onto.
 
Parameterization was mainly used for [[Texture mapping|mapping textures]] to surfaces. Recently, it has become a powerful tool for many applications in mesh processing.{{Citation needed|date=July 2011}} Various techniques are developed for different types of parameter domains with different parameterization properties.