[學術演講] Discrete Morse based Graph Reconstruction: Algorithms and Applications

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Discrete Morse based Graph Reconstruction: Algorithms and Applications

Date : 2026/07/17 (Fri.) 11:00~12:00
Location : Room 639, Institute of Mathematics (NTU Campus)
Speaker : Yusu Wang
Abstract : Recent years have witnessed a surge in the use of topological objects and methods in various applications. Many such applications leverage either the summarization (e.g, persistent homology) or the characterization power of topological objects. In this talk, we will talk about our graph skeletonization algorithm based on discrete-Morse theory, both for 2D / 3D images and for (high-dimensional) points data. We will then describe various applications of the resulting algorithms: from automatic road network reconstruction, to neuronal processes segmentation from whole brain images, to the analysis of high dimensional single-cell RNASeq data. This is joint work with many collaborators which we will acknowledge in the talk.