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

arXiv:2610.10959 · cs.CV · Submitted 2026-10-07 · Read on arXiv

cs.CV

Submitted: 2026-10-07

Updated: 2026-10-07

Code: https://github.com/seravee08/GPU-Computation-of-Persist

Project page: https://topology-tool-kit.github.io

Terminology

• Persistent Homology — 67× in this paper · explained in 3 episodes
• Trace — 17× in this paper · explained in 2 episodes
• Topological Order — 15× in this paper · explained in 2 episodes
• Core — 7× in this paper · explained in 2 episodes
• Benchmark — 6× in this paper · explained in 2 episodes
• Adaptation — 3× in this paper · explained in 1 episode
• U-net architecture — 3× in this paper · explained in 3 episodes
• AVERAGE PERSISTENT HOMOLOGY — 2× in this paper
• Computational Biology — 2× in this paper · explained in 2 episodes
• Point Clouds — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Segmentation Masks — 2× in this paper · explained in 2 episodes
• Topological Data Analysis (TDA) — 2× in this paper · explained in 2 episodes
• alpha — 2× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Aggregation — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Clustering — 1× in this paper · explained in 2 episodes
• Communication Overhead — 1× in this paper · explained in 2 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Diffusion Model — 1× in this paper · explained in 8 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Gaussian Random Fields — 1× in this paper
• Loss Function — 1× in this paper · explained in 2 episodes
• Point Cloud Data — 1× in this paper · explained in 2 episodes
• Transformer — 1× in this paper · explained in 2 episodes

Sources

• Cubical Ripser: Software for computing persistent homology of image and volume data
• Computing homology and persistent homology using iterated Morse decomposition
• Skin Lesion Analysis Toward Melanoma Detection 2018: A Challenge Hosted by the International Skin Imaging Collaboration (ISIC)

Related papers

• Loss Knows Best: Detecting Annotation Errors in Videos via Loss Trajectories
• AnchorWeave: World-Consistent Video Generation with Retrieved Local Spatial Memories
• Benchmarking the Robustness of Foundation Models for Mammography under Domain Shift
• MambaX-Net: Dual-Input Mamba-Enhanced Cross-Attention Network for Longitudinal MRI Segmentation
• TeleOCR: Navigating Document Parsing Across Digital and Camera-Captured Documents
• A Survey on Efficient Vision-Language-Action Models