mlsanityData to 7 Oct 2026

Cubical Ripser: Software for computing persistent homology of image and volume data

arXiv 2005.12692 ↗First posted 23 May 2020cs.CV math.ATcited by 23

Not on the map. Why?

Abstract (arXiv)

We introduce Cubical Ripser for computing persistent homology of image and volume data (more precisely, weighted cubical complexes). To our best knowledge, Cubical Ripser is currently the fastest and the most memory-efficient program for computing persistent homology of weighted cubical complexes. We demonstrate our software with an example of image analysis in which persistent homology and convolutional neural networks are successfully combined. Our open-source implementation is available online.

Key facts. Cited by 23 papers in the map (data through 7 Oct 2026). First posted on arXiv 23 May 2020.

Builds on

No reference list yet.

Built on by

Cited by year (2026 to 7 Oct)

Citing papers per year: 2021: 1; 2022: 2; 2023: 3; 2024: 5; 2025: 6; 2026: 6.

23 papers.

Sort:

By area:

  1. 2021A persistent homology-based topological loss for CNN-based multi-class segmentation of CMRcited by 21
  2. 2023Topology-Aware Focal Loss for 3D Image Segmentationcited by 12
  3. 2024Geometry-Informed Neural Networkscited by 12
  4. 2022Discrete Morse Sandwich: Fast Computation of Persistence Diagrams for Scalar Data -- An Algorithm and A Benchmarkcited by 11
  5. 2024TopoDiffusionNet: A Topology-aware Diffusion Modelcited by 10
  6. 2024Efficient Betti Matching Enables Topology-Aware 3D Segmentation via Persistent Homologycited by 7
  7. 2024Self Pre-training with Topology- and Spatiality-aware Masked Autoencoders for 3D Medical Image Segmentationcited by 6
  8. 2023On Characterizing the Evolution of Embedding Space of Neural Networks using Algebraic Topologycited by 5
  9. 2025Topology Optimization in Medical Image Segmentation with Fast Euler Characteristiccited by 5
  10. 2022ParticleGrid: Enabling Deep Learning using 3D Representation of Materialscited by 2
  11. 2025TopoImages: Incorporating Local Topology Encoding into Deep Learning Models for Medical Image Classificationcited by 2
  12. 2025Integrating Multi-scale and Multi-filtration Topological Features for Medical Image Classificationcited by 2
11 more
  1. 2024Train-Free Segmentation in MRI with Cubical Persistent Homologycited by 1
  2. 2025CuMPerLay: Learning Cubical Multiparameter Persistence Vectorizationscited by 1
  3. 2026Fast Cubical Persistent Homology on 2D and 3D Images via Union-Find, Pruning, and Lookup Tablescited by 1
  4. 2023Tumor-Centered Patching for Enhanced Medical Image Segmentationcited by 0
  5. 2025A Topological Data Analysis Framework for Quantifying Necrosis in Glioblastomascited by 0
  6. 2025Anatomica: Localized Control over Geometric and Topological Properties for Anatomical Diffusion Modelscited by 0
  7. 2026Non-negative Matrix Factorisation with Topological Regularisationcited by 0
  8. 2026Topology-Informed Neural Networks for Flood Detection in Optical and Synthetic Aperture Radar Imagerycited by 0
  9. 2026TopoFuse: Topology-Aware Tri-Planar Fusion for 3D Cryo-Electron Tomography Segmentationcited by 0
  10. 2026Sparse cubical complexes for efficient topology-preservation in image datacited by 0
  11. 2026GPU-Accelerated Computation of Persistent Homology for Topological Analysis of Image Datacited by 0