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Paper · arXiv

GPU-Accelerated Computation of Persistent Homology for Topological Analysis of Image Data

In recent years, persistent homology has seen rapid adoption in deep learning, yet its computation remains a major bottleneck in network training. This paper introduces TopoGPU, a GPU streaming pipeline that computes persistence diagrams of cubical complexes induced by 2D and 3D images. TopoGPU streams the input image chunk by chunk, processing each chunk with massively parallel GPU kernels on a grid of GPU blocks; the resulting boundary relations are accumulated in host memory, where the CPU performs the boundary matrix reduction. TopoGPU introduces a stratification-aware discrete Morse matching that provably preserves persistent homology under streaming, together with a parallel topolog...

AuthorsFan Wang, Hubert Wagner, Rezaul Chowdhury et al.
Primary categorycs.CV
Published7 October 2026
Last updated at source7 October 2026
cs.CV
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