Mesh parameterization

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
• Linear discrete conformal parameterization
• Discrete Exponential Map
• Boundary First Flattening
• Scalable Locally Injective Mappings

See also

• Parametrization
• Texture atlas
• UV Mapping

External links

• "Mesh Parameterization: theory and practice"