Poster
in
Workshop: Differentiable Almost Everything: Differentiable Relaxations, Algorithms, Operators, and Simulators
A Differentiable Topological Notion of Local Maxima for Keypoint Detection
Giovanni Barbarani · Francesco Vaccarino · Gabriele Trivigno · Marco Guerra · Gabriele Berton · Carlo Masone
Keywords: [ topological data analysis ] [ Persistent Homology ] [ image matching ]
In computer vision, keypoint detection is a fundamental task, with applications spanning from robotics to image retrieval; however, existing learning-based methods suffer from scale dependency and lack flexibility. This paper introduces a novel approach that leverages Morse theory and persistent homology, powerful tools rooted in algebraic topology. We propose a novel loss function based on the recent introduction of a notion of subgradient in persistent homology which achieves competitive performance in keypoint repeatability and introduces a principled and theoretically robust approach to the problem.