Sampling conditions for recovering the homology of a set using topological persistence are much weaker than sampling conditions required by any known algorithm for producing a top...
Point-sampled geometry has gained significant interest due to their simplicity. The lack of connectivity touted as a plus, however, creates difficulties in many operations like ge...
Complex image processing tasks rarely succeed through the application of just one methodology. The implementation of different methodologies, whose treatment of the input images i...
What is the degree of sophistication that we have to put into the agents in agents based computer simulation models? Should we provide them with a "mind"? The answer ran...
In this paper, we present the first output-sensitive algorithm to compute the persistence diagram of a filtered simplicial complex. For any Γ > 0, it returns only those homo...