Given two surfaces with the same topology, a bijective mapping between them exists. On 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.
Applications
- Texture mapping
- Normal mapping
- Detail transfer
- Morphing
- Mesh completion
- Editing
- Databases
- Remeshing
- Surface fitting
Techniques
- Barycentric Mappings
- Differential Geometry Primer
- Non-Linear Methods