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
- 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, ABF++, DPBF, LSCM, HLSCM, Barycentric, mean-value coordinates, L2 stretch, spectral conformal, Periodic Global Parameterization, Constrained texture mapping, texture atlas generation]
- [Linear discrete conformal parameterization]
- [Discrete Exponential Map]
See also
External Links
"Mesh Parameterization: theory and practice"
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