The Intersection Euler Characteristic Profile, the Euler characteristic of the common overlap of thickened point clouds, is shown to be the unique stable, canonical interaction invariant, with near-optimal algorithm and sampling consistency.
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The Intersection Euler Characteristic Profile: Euler Calculus and Stability for Topological Interaction of Ball Unions
The Intersection Euler Characteristic Profile, the Euler characteristic of the common overlap of thickened point clouds, is shown to be the unique stable, canonical interaction invariant, with near-optimal algorithm and sampling consistency.