The Exact Geometric Computing approach requires a zero test for numbers which are built up using standard operations starting with the natural numbers. The uniformity conjecture, ...
Real-world tasks often require real-time performances. However, in many practical cases, “just in time” responses are sufficient. This means that a system should be efficien...
Giovanni Adorni, Stefano Cagnoni, Monica Mordonini
We propose a simple, isometry invariant pattern matching algorithm for an effective data reduction useful in layout-related data processing of very complex IC designs. The repeata...
Mariusz Niewczas, Wojciech Maly, Andrzej J. Strojw...
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...
The aim of this paper is a comprehensive presentation of the geometrical tools which are necessary to prove the correctness of several up to date algorithms with intrinsic complex...
Bernd Bank, Marc Giusti, Joos Heintz, Mohab Safey ...