Delaunay-Rips filtration: a study and an algorithm
Fuente:
arXiv
Saved in:
| Main Authors: | Clémot, Mattéo, Digne, Julie, Tierny, Julien |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Topological Autoencoders++: Fast and Accurate Cycle-Aware Dimensionality Reduction
by: Clémot, Mattéo, et al.
Published: (2025)
by: Clémot, Mattéo, et al.
Published: (2025)
Robust Barycenters of Persistence Diagrams
by: Sisouk, Keanu, et al.
Published: (2025)
by: Sisouk, Keanu, et al.
Published: (2025)
Localized Evaluation for Constructing Discrete Vector Fields
by: Finken, Tanner, et al.
Published: (2024)
by: Finken, Tanner, et al.
Published: (2024)
Continuous Edit Distance, Geodesics and Barycenters of Time-varying Persistence Diagrams
by: Tchitchek, Sebastien, et al.
Published: (2025)
by: Tchitchek, Sebastien, et al.
Published: (2025)
External Incremental Delaunay Triangulation
by: Cai, Yifeng
Published: (2025)
by: Cai, Yifeng
Published: (2025)
On $\ell_p$-Vietoris-Rips complexes
by: Ivanov, Sergei O., et al.
Published: (2024)
by: Ivanov, Sergei O., et al.
Published: (2024)
A Practical Solver for Scalar Data Topological Simplification
by: Kissi, Mohamed, et al.
Published: (2024)
by: Kissi, Mohamed, et al.
Published: (2024)
The Exact Spanning Ratio of the Parallelogram Delaunay Graph
by: Bose, Prosenjit, et al.
Published: (2023)
by: Bose, Prosenjit, et al.
Published: (2023)
Delaunay Triangulations with Predictions
by: Cabello, Sergio, et al.
Published: (2026)
by: Cabello, Sergio, et al.
Published: (2026)
Generating Cofaces in Vietoris--Rips Filtration Order
by: Bauer, Ulrich, et al.
Published: (2024)
by: Bauer, Ulrich, et al.
Published: (2024)
Computing the Intrinsic Delaunay Triangulation of a Closed Polyhedral Surface
by: Dubois, Loïc
Published: (2026)
by: Dubois, Loïc
Published: (2026)
GPU-Accelerated Computation of Vietoris-Rips Persistence Barcodes
by: Zhang, Simon, et al.
Published: (2020)
by: Zhang, Simon, et al.
Published: (2020)
Optimization of a Triangular Delaunay Mesh Generator using Reinforcement Learning
by: Thacher, Will, et al.
Published: (2025)
by: Thacher, Will, et al.
Published: (2025)
Tight Routing and Spanning Ratios of Arbitrary Triangle Delaunay Graphs
by: Bose, Prosenjit, et al.
Published: (2025)
by: Bose, Prosenjit, et al.
Published: (2025)
Vietoris--Rips Shadow for Euclidean Graph Reconstruction
by: Komendarczyk, Rafal, et al.
Published: (2025)
by: Komendarczyk, Rafal, et al.
Published: (2025)
Simplicial approximation to CW complexes with spherical Delaunay triangulations
by: Tinarrage, Raphaël
Published: (2021)
by: Tinarrage, Raphaël
Published: (2021)
The Tight Spanning Ratio of the Rectangle Delaunay Triangulation
by: van Renssen, Andrè, et al.
Published: (2022)
by: van Renssen, Andrè, et al.
Published: (2022)
Sparse Approximation of the Subdivision-Rips Bifiltration for Doubling Metrics
by: Lesnick, Michael, et al.
Published: (2024)
by: Lesnick, Michael, et al.
Published: (2024)
The metric Rips filtration, universal quasigeodesic cones, and hierarchically hyperbolic spaces
by: Tang, Robert
Published: (2025)
by: Tang, Robert
Published: (2025)
When alpha-complexes collapse onto codimension-1 submanifolds
by: Attali, Dominique, et al.
Published: (2024)
by: Attali, Dominique, et al.
Published: (2024)
IsUMap: Manifold Learning and Data Visualization leveraging Vietoris-Rips filtrations
by: Barth, Lukas Silvester, et al.
Published: (2024)
by: Barth, Lukas Silvester, et al.
Published: (2024)
Order-2 Delaunay Triangulations Optimize Angles
by: Edelsbrunner, Herbert, et al.
Published: (2023)
by: Edelsbrunner, Herbert, et al.
Published: (2023)
Vietoris-Rips Persistent Homology, Injective Metric Spaces, and The Filling Radius
by: Lim, Sunhyuk, et al.
Published: (2020)
by: Lim, Sunhyuk, et al.
Published: (2020)
Delaunay hypersurfaces in spheres
by: Zhang, Yongsheng
Published: (2024)
by: Zhang, Yongsheng
Published: (2024)
Randomized HyperSteiner: A Stochastic Delaunay Triangulation Heuristic for the Hyperbolic Steiner Minimal Tree
by: Medbouhi, Aniss Aiman, et al.
Published: (2025)
by: Medbouhi, Aniss Aiman, et al.
Published: (2025)
TTK is Getting MPI-Ready
by: Guillou, Eve Le, et al.
Published: (2023)
by: Guillou, Eve Le, et al.
Published: (2023)
Better Sampling Bounds for Restricted Delaunay Triangulations and a Star-Shaped Property for Restricted Voronoi Cells
by: Shewchuk, Jonathan Richard
Published: (2026)
by: Shewchuk, Jonathan Richard
Published: (2026)
Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory
by: Bauer, Ulrich, et al.
Published: (2022)
by: Bauer, Ulrich, et al.
Published: (2022)
Delaunay decompositions minimizing energy of weighted toroidal graphs
by: Lam, Wai Yeung
Published: (2022)
by: Lam, Wai Yeung
Published: (2022)
Weighted Voronoi-Delaunay dual on polyhedral surfaces and its finiteness
by: Zhu, Xiang
Published: (2024)
by: Zhu, Xiang
Published: (2024)
Monoidal Rips: Stable Multiparameter Filtrations of Directed Networks
by: Blaser, Nello, et al.
Published: (2025)
by: Blaser, Nello, et al.
Published: (2025)
A (Hilbert) geometric algorithm for approximating the halfspace depth of a point in a convex body
by: Gupta, Purvi, et al.
Published: (2024)
by: Gupta, Purvi, et al.
Published: (2024)
Anti-Vietoris--Rips metric thickenings and Borsuk graphs
by: Adams, Henry, et al.
Published: (2025)
by: Adams, Henry, et al.
Published: (2025)
On the number of iterations of the DBA algorithm
by: Brüning, Frederik, et al.
Published: (2024)
by: Brüning, Frederik, et al.
Published: (2024)
Constant Q-curvature metrics with Delaunay ends: the nondegenerate case
by: Andrade, João Henrique, et al.
Published: (2021)
by: Andrade, João Henrique, et al.
Published: (2021)
A deterministic algorithm for Harder-Narasimhan filtrations for representations of acyclic quivers
by: Cheng, chi-yu
Published: (2021)
by: Cheng, chi-yu
Published: (2021)
A greedy maximal sweepline algorithm for a Jordan curve
by: Mudgal, Apurva
Published: (2026)
by: Mudgal, Apurva
Published: (2026)
Weight filtration and generating level
by: Dakin, Henry
Published: (2025)
by: Dakin, Henry
Published: (2025)
Local multiplicativity of perverse filtrations
by: Zhang, Zili
Published: (2025)
by: Zhang, Zili
Published: (2025)
Singular Lie filtrations and weightings
by: Loizides, Yiannis, et al.
Published: (2022)
by: Loizides, Yiannis, et al.
Published: (2022)
Similar Items
-
Topological Autoencoders++: Fast and Accurate Cycle-Aware Dimensionality Reduction
by: Clémot, Mattéo, et al.
Published: (2025) -
Robust Barycenters of Persistence Diagrams
by: Sisouk, Keanu, et al.
Published: (2025) -
Localized Evaluation for Constructing Discrete Vector Fields
by: Finken, Tanner, et al.
Published: (2024) -
Continuous Edit Distance, Geodesics and Barycenters of Time-varying Persistence Diagrams
by: Tchitchek, Sebastien, et al.
Published: (2025) -
External Incremental Delaunay Triangulation
by: Cai, Yifeng
Published: (2025)