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This is in contrast to a total ordering of operations such as a Progressive Mesh. Here we see (as expected) that to reduce to 2 thousand elements we first must reduce to 50 thousand and then 10 thousand elements. I've also included the times for the Block Iteration algorithm using only edge collapses. The times here are a constant factor faster (as expected) than the full algorithm since the other local mesh transformations are not considered.

Block Iteration is clearly more efficient if we are only concerned with the final model. Progressive Meshes are the way to go if a continuum of optimal simplified meshes are desired.