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One of the main goals is to reduce the overall number of elements to allow interactive simulations. This number will be specified by the resources of the available system and the desired frame rate.

Secondly, we must make sure to maintain the surface boundaries of the original object. We must also maintain any interior boundaries and the spacing between the layers, such as the thickness of the skin covering the dog's skull.

In order to perform stable simulations, such as FEM, the shape of each element must meet minimum shape quality requirements (more on this later).

We'd like a reasonable distribution of elements to concentrate most of the elements in areas of high detail.

Finally the algorithm must be robust to handle models made from high-resolution scanned meshes. And it should be efficient and scalable to handle models with millions of elements.