2. Global Simplification Strategies

2.1 Mesh Re‐Tiling [Turk 92]

Re‐tiling attempts to simplify as well as improve meshing by introducing new “uniformly spaced ” vertices

本质上是在曲面上重采样
把顶点看作曲面上流动的粒子，模拟粒子之间的作用力
不能保持 Appearance 特征

2.2 Mesh Optimization [Hoppe et al 93]

• Frames simplification as an optimization problem
  • Minimizes some energy function
  • Make simple changes to the topology of the mesh
  • Evaluate the energy before and after the change
  • Accept any change that reduces the energy

$$ \min\int d^2(U,V) $$

光顺能量
minimize Laplacian 能量 [1:06:02图]

Basic Topological Operations

• Edge Collapse
• Edge Split
• Edge Swap

本文出自CaterpillarStudyGroup，转载请注明出处。 https://caterpillarstudygroup.github.io/GAMES102_mdbook/