3 papers
cs.CG2024
Tracking the Persistence of Harmonic Chains: Barcode and Stability
Tao Hou, Salman Parsa, Bei Wang
The persistence barcode is a topological descriptor of data that plays a fundamental role in topological data analysis. Given a filtration of data, the persistence barcode tracks t…
cs.CG2024
Harmonic Chain Barcode and Stability
Salman Parsa, Bei Wang
The persistence barcode is a topological descriptor of data that plays a fundamental role in topological data analysis. Given a filtration of the space of data, a persistence barco…
cs.CG2024
On the Parameterized Complexity of Motion Planning for Rectangular Robots
Iyad Kanj, Salman Parsa
We study computationally-hard fundamental motion planning problems where the goal is to translate axis-aligned rectangular robots from their initial positions to their final po…