3. Mesh Proxy

方法：

  • Define a mesh proxy for the shape: generally a simpler, coarse mesh which encloses the shape

The shape is embedded into the mesh proxy

  • Deform the mesh proxy using point/line base methods

Advantages:
• You can deform arbitrary objects
• Independent of object representation

3.1 Free‐form Deformation (FFD)

[Sederberg et al. 86]

  • Proxy: a lattice mesh
  • more easily parametrized than the object
  • Deformation defined by the tensor Bezier solid

3.2 Cage‐based deformation

  • Proxy: cage
  • Barycentric coordinates

怎么找 Cage?

3.3 Multiresolution Editing

  • Proxy: simplified shape

对曲面进行光顺 (简化)，再还原细节

  • Pros
    • Preserving details, scalable
  • Cons
    • Instable reconstruction for large deformation
    • Resampling problem
  • Invariant variables
    • Detail information

Short Summary: mesh proxy

• Lattice
• Cage
• Simplified shape
• …

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