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 is mapped onto.
Parameterization was mainly used for mapping textures to surfaces. Recently, it has become a powerful tool for many applications in mesh processing.[citation needed] Various techniques are developed for different types of parameter domains with different parameterization properties.
Applications
- Texture mapping
- Normal mapping
- Detail transfer
- Morphing
- Mesh completion
- Mesh Editing
- Mesh Databases
- Remeshing
- Surface fitting
Techniques
- Barycentric Mappings
- Differential Geometry Primer
- Non-Linear Methods
Implementations
- A fast and simple stretch-minimizing mesh parameterization
- Graphite: ABF++, LSCM, Spectral LSCM, Barycentric Coordinates, Mean-Value Coordinates, L2 Stretch, Constrained texture mapping, Texture atlas generation
- Linear discrete conformal parameterization
- Discrete Exponential Map
- Boundary First Flattening
- Scalable Locally Injective Mappings
See also
External links
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