An Example

• PROPERTY: the limit of the simplification (for large eps or small enough K) is the prototype!
• Consider a humidifier:

  

• Original model has high complexity because of the curved edges.
  - front (shaded) panel is textured or different colored.
• Conventional methods is unlikely to reach this prototype.
  - prototype specification can vary from simple (a box) to complex.
• Prototype retains symmetry about horizontal plane through center of humidifier
  - The top (ABCD) and bottom (A'B'C'D') faces identical.
• Decimation methods cannot reach our prototype
  - it produces a solid contained in original
• Boxing methods may reach box shape with large epsilon.
  - but probably highly distorted and no symmetry