3 papers
cs.CG2026
Topologically Stable Hough Transform
Stefan Huber, Kristóf Huszár, Michael Kerber +1
We propose an alternative formulation of the well-known Hough transform to detect lines in point clouds. Replacing the discretized voting scheme of the classical Hough transform by…
math.AT2024
Graphcode: Learning from multiparameter persistent homology using graph neural networks
Michael Kerber, Florian Russold
We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes hand…
cs.LG2023
Topological Data Analysis in smart manufacturing: State of the art and futuredirections
Martin Uray, Barbara Giunti, Michael Kerber +1
Topological Data Analysis (TDA) is a discipline that applies algebraic topology techniques to analyze complex, multi-dimensional data. Although it is a relatively new field, TDA ha…