Mesh parameterization
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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.
Applications
- Texture mapping
- Normal mapping
- Detail transfer
- Morphing
- Mesh completion
- Editing
- Databases
- Remeshing
- Surface fitting
Techniques
- Barycentric Mappings
- Differential Geometry Primer
- Non-Linear Methods