For anyGiven two surfaces with similarthe same topology, there exists a bijective mapping between them exists. IfOn onetriangular of thesemesh surfaces is a triangular mesh, the problem of computing such athis mapping is referred to ascalled mesh parameterization. The parameter ___domain is the surface that the mesh isgets mapped to is typically called the parameter ___domain.▼
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.
▲For any two surfaces with similar topology, there exists a bijective mapping between them. If one of these surfaces is a triangular mesh, the problem of computing such a mapping is referred to as mesh parameterization. The surface that the mesh is mapped to is typically called the parameter ___domain.
Parameterization was introduced to computer graphics for mapping textures onto surfaces. Over the last decade, it has gradually become a ubiquitous tool for many mesh-processing applications, including detail-mapping, detail-transfer, morphing, mesh-editing, mesh-completion, remeshing, compression, surface-fitting, and shape-analysis. In parallel to the increased interest in applying parameterization, various methods were developed for different kinds of parameter domains and parameterization properties.
