CRITIQUE OF APPROACHES

• The single parameter (target complexity bound or bound on distortion) is too coarse.
• The step M_iM_i-1 does not take into account the original M₀.
• Symmetry considerations not accounted.
  - E.g., the top and bottom faces of a cylinder must be simplified in a coordinated fashion.
• Techniques treats homogeneous objects
  - E.g. each polygon has a color or a texture.
  - Try to respect color boundary
  - But can produce hybrid colors
• Topological invariance is not an absolute criteria.
  - E.g., a line is a good approximation to a thin cylinder.
  - NOTE: a line does have a minimal rendered width!
  - E.g., two close and parallel disks should be merged.
  - E.g., a disk can approximate a disk with a small hole.
• Interaction between surface and textures can be considered.