Ulrich Bauer

Comput. Geom., 2025

2024

Universal distances for extended persistence.

[BibT_eX]

[DOI]

Magnus Bakke Botnan

J. Appl. Comput. Topol., September, 2024

Efficient Betti Matching Enables Topology-Aware 3D Segmentation via Persistent Homology.

[BibT_eX]

[DOI]

CoRR, 2024

Topologically Faithful Multi-class Segmentation in Medical Images.

[BibT_eX]

[DOI]

Proceedings of the Medical Image Computing and Computer Assisted Intervention - MICCAI 2024, 2024

Wrapping Cycles in Delaunay Complexes: Bridging Persistent Homology and Discrete Morse Theory.

[BibT_eX]

[DOI]

Fabian Roll

Proceedings of the 40th International Symposium on Computational Geometry, 2024

2023

Topological Data Analysis and Applications (Dagstuhl Seminar 23192).

[BibT_eX]

[DOI]

Vijay Natarajan

Bei Wang

Dagstuhl Reports, 2023

On Computing Homological Hitting Sets.

[BibT_eX]

[DOI]

Meirav Zehavi

Proceedings of the 14th Innovations in Theoretical Computer Science Conference, 2023

Topologically Faithful Image Segmentation via Induced Matching of Persistence Barcodes.

[BibT_eX]

[DOI]

Proceedings of the International Conference on Machine Learning, 2023

Efficient Computation of Image Persistence.

[BibT_eX]

[DOI]

Maximilian Schmahl

Proceedings of the 39th International Symposium on Computational Geometry, 2023

Efficient Two-Parameter Persistence Computation via Cohomology.

[BibT_eX]

[DOI]

Fabian Lenzen

Proceedings of the 39th International Symposium on Computational Geometry, 2023

2022

Connecting Discrete Morse Theory and Persistence: Wrap Complexes and Lexicographic Optimal Cycles.

[BibT_eX]

[DOI]

Fabian Roll

CoRR, 2022

Keeping it sparse: Computing Persistent Homology revised.

[BibT_eX]

[DOI]

CoRR, 2022

Categorification of Extended Persistence Diagrams.

[BibT_eX]

[DOI]

CoRR, 2022

Gromov Hyperbolicity, Geodesic Defect, and Apparent Pairs in Vietoris-Rips Filtrations.

[BibT_eX]

[DOI]

Fabian Roll

Proceedings of the 38th International Symposium on Computational Geometry, 2022

Quasi-Universality of Reeb Graph Distances.

[BibT_eX]

[DOI]

Håvard Bakke Bjerkevik

Proceedings of the 38th International Symposium on Computational Geometry, 2022

2021

Ripser: efficient computation of Vietoris-Rips persistence barcodes.

[BibT_eX]

[DOI]

J. Appl. Comput. Topol., 2021

The Reeb Graph Edit Distance is Universal.

[BibT_eX]

[DOI]

Claudia Landi

Facundo Mémoli

Found. Comput. Math., 2021

The complexity of high-dimensional cuts.

[BibT_eX]

[DOI]

Meirav Zehavi

CoRR, 2021

Structure and Interleavings of Relative Interlevel Set Cohomology.

[BibT_eX]

[DOI]

Magnus Bakke Botnan

Juan Ángel Patino-Galindo

CoRR, 2021

Topology identifies emerging adaptive mutations in SARS-CoV-2.

[BibT_eX]

[DOI]

Michael Bleher

Lukas Hahn

CoRR, 2021

clDice - A Novel Topology-Preserving Loss Function for Tubular Structure Segmentation.

[BibT_eX]

[DOI]

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2021

2020

Čech-Delaunay gradient flow and homology inference for self-maps.

[BibT_eX]

[DOI]

J. Appl. Comput. Topol., 2020

The Structure of Morphisms in Persistent Homology, I. Functorial Dualities.

[BibT_eX]

[DOI]

Maximilian Schmahl

CoRR, 2020

Universality of the Bottleneck Distance for Extended Persistence Diagrams.

[BibT_eX]

[DOI]

Magnus Bakke Botnan

CoRR, 2020

2019

Autonomous intelligent transponder enabling adaptive network optimization in a live network field trial.

[BibT_eX]

[DOI]

JOCN, 2019

Hardness of Approximation for Morse Matching.

[BibT_eX]

[DOI]

Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2019

Parametrized Complexity of Expansion Height.

[BibT_eX]

[DOI]

Jonathan Spreer

Proceedings of the 27th Annual European Symposium on Algorithms, 2019

On the Metric Distortion of Embedding Persistence Diagrams into Separable Hilbert Spaces.

[BibT_eX]

[DOI]

Mathieu Carrière

Proceedings of the 35th International Symposium on Computational Geometry, 2019

2018

On the Metric Distortion of Embedding Persistence Diagrams into Reproducing Kernel Hilbert Spaces.

[BibT_eX]

[DOI]

Mathieu Carrière

CoRR, 2018

Persistent Betti numbers of random Čech complexes.

[BibT_eX]

[DOI]

Florian Pausinger

CoRR, 2018

2017

Phat - Persistent Homology Algorithms Toolbox.

[BibT_eX]

[DOI]

J. Symb. Comput., 2017

Persistence Barcodes Versus Kolmogorov Signatures: Detecting Modes of One-Dimensional Signals.

[BibT_eX]

[DOI]

Found. Comput. Math., 2017

Persistence in sampled dynamical systems faster.

[BibT_eX]

[DOI]

CoRR, 2017

2016

Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem.

[BibT_eX]

[DOI]

CoRR, 2016

An Edit Distance for Reeb Graphs.

[BibT_eX]

[DOI]

Barbara Di Fabio

Claudia Landi

Proceedings of the 9th Eurographics Workshop on 3D Object Retrieval, 2016

2015

Induced matchings and the algebraic stability of persistence barcodes.

[BibT_eX]

[DOI]

J. Comput. Geom., 2015

Homological reconstruction and simplification in R<sup>3</sup>.

[BibT_eX]

[DOI]

Comput. Geom., 2015

Statistical Topological Data Analysis - A Kernel Perspective.

[BibT_eX]

[DOI]

Proceedings of the Advances in Neural Information Processing Systems 28: Annual Conference on Neural Information Processing Systems 2015, 2015

A stable multi-scale kernel for topological machine learning.

[BibT_eX]

[DOI]

Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, 2015

Strong Equivalence of the Interleaving and Functional Distortion Metrics for Reeb Graphs.

[BibT_eX]

[DOI]

Elizabeth Munch

Yusu Wang

Proceedings of the 31st International Symposium on Computational Geometry, 2015

2014

Persistent Homology meets Statistical Inference - A Case Study: Detecting Modes of One-Dimensional Signals.

[BibT_eX]

[DOI]

CoRR, 2014

Induced Matchings of Barcodes and the Algebraic Stability of Persistence.

[BibT_eX]

[DOI]

Proceedings of the 30th Annual Symposium on Computational Geometry, 2014

Measuring Distance between Reeb Graphs.

[BibT_eX]

[DOI]

Xiaoyin Ge

Yusu Wang

Proceedings of the 30th Annual Symposium on Computational Geometry, 2014

The Morse Theory of Čech and Delaunay Filtrations.

[BibT_eX]

[DOI]

Herbert Edelsbrunner

Proceedings of the 30th Annual Symposium on Computational Geometry, 2014

Distributed Computation of Persistent Homology.

[BibT_eX]

[DOI]

Michael Kerber

Jan Reininghaus

Proceedings of the 2014 Proceedings of the Sixteenth Workshop on Algorithm Engineering and Experiments, 2014

Clear and Compress: Computing Persistent Homology in Chunks.

[BibT_eX]

[DOI]

Michael Kerber

Jan Reininghaus

Proceedings of the Topological Methods in Data Analysis and Visualization III, 2014

2012

Optimal Topological Simplification of Discrete Functions on Surfaces.

[BibT_eX]

[DOI]

Carsten Lange

Max Wardetzky

Discret. Comput. Geom., 2012

2010

Uniform Convergence of Discrete Curvatures from Nets of Curvature Lines.

[BibT_eX]

[DOI]

Max Wardetzky

Discret. Comput. Geom., 2010

2009

Generating parametric models of tubes from laser scans.

[BibT_eX]

[DOI]

Comput. Aided Des., 2009

2008

Detection of Planar Regions in Volume Data for Topology Optimization.

[BibT_eX]

[DOI]

Proceedings of the Advances in Geometric Modeling and Processing, 2008

2007

Parametric Reconstruction of Bent Tube Surfaces.

[BibT_eX]

[DOI]