Two Model Problems: Tests of Method

As discussed above, two of the virtues of level set methods are their ability to change topology and their ability to correctly track the development of singularities (e.g. corners and cusps) in the evolving interface. Here we present two somewhat unrealistic examples to demonstrate these capabilities.

Etching Bath: Multiple Changes of Topology

Acid enters from open sides: front merges many times: (569K)

Directional Etching: Visibility and Changes of Topology

Directional etching from behind causes shadows: (253K)

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