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词条 Mesh parameterization
释义

  1. Applications

  2. Techniques

  3. Implementations

  4. See also

  5. External links

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|date=July 2011}} 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
  • [https://web.archive.org/web/20100624001221/http://www.cs.caltech.edu/~keenan/project_dgp.html Linear discrete conformal parameterization]
  • Discrete Exponential Map
  • [https://geometrycollective.github.io/boundary-first-flattening Boundary First Flattening]
  • [https://github.com/MichaelRabinovich/Scalable-Locally-Injective-Mappings Scalable Locally Injective Mappings]

See also

{{Portal|Computer graphics}}
  • Parametrization
  • Texture atlas
  • UV Mapping

External links

"Mesh Parameterization: theory and practice"{{Computer-graphics-stub}}

1 : 3D computer graphics

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