Topological data analysis

Topological mapping for mobile robots using a combination of sonar and vision sensing

David Kortenkamp, Terry E. Weymouth

Citations: 267 • 1994

Topological relationships between complex spatial objects

Markus Schneider, Thomas Behr

Citations: 212 • 2006

Topological mapping using spectral clustering and classification

Emma Brunskill, Thomas Kollar, Nicholas Roy

Citations: 108 • 2007

Topological trajectory classification with filtrations of simplicial complexes and persistent homology

Florian T. Pokorny, Majd Hawasly, Subramanian Ramamoorthy

Citations: 46 • 2015

Multiscale Topological Trajectory Classification with Persistent Homology

Florian T. Pokorny, Majd Hawasly, Subramanian Ramamoorthy

Citations: 35 • 2014

Incremental topological segmentation for semi-structured environments using discretized GVG

Ming Liu, Francis Colas, Luc Oth, Roland Siegwart

Citations: 31 • 2014

Topological exploration of unknown and partially known environments

Soonkyum Kim, Subhrajit Bhattacharya, Robert Ghrist, Vijay Kumar

Citations: 22 • 2013

Data driven MCMC for Appearance-based Topological Mapping

Ananth Ranganathan, Frank Dellaert

Citations: 20 • 2005

A Probabilistic Approach to Automated Construction of Topological Maps Using a Stochastic Robotic Swarm

Ragesh K. Ramachandran, Sean Wilson, Spring Berman

Citations: 14 • 2017

Topological feature vectors for exploring topological relationships

Reasey Praing, Markus Schneider

Citations: 13 • 2008

Reliable topological place detection in bubble space

Hakan Karaoğuz, H. Işıl Bozma

Citations: 12 • 2014

Topological Tracking for Mobility Support Robots Based on Multi-scale Batch Learning Growing Neural Gas

Naoki Doteguchi, Naoyuki Kubota

Citations: 8 • 2022

TOPOLOGICAL MAPPING AND MAP MERGING WITH SENSING-LIMITED ROBOTS

Kristopher R. Beevers

Citations: 7 • 2004

Spatial Topological Relation Analysis for Cluttered Scenes

Yu Fu, Mantian Li, Xinyi Zhang, Sen Zhang, Chunyu Wei, Wei Guo, Hegao Cai, Lining Sun, Pengfei Wang, Fusheng Zha

Citations: 5 • 2020

Topological characterization of mobile robot behavior

Aurélien Hazan, Frédéric Davesne, Vincent Vigneron, H. Mâaref

Citations: 4 • 2006

A Probabilistic Topological Approach to Feature Identification Using a Stochastic Robotic Swarm

Ragesh K. Ramachandran, Sean Wilson, Spring Berman

Citations: 4 • 2018

Sequential Topological Representations for Predictive Models of Deformable Objects

Rika Antonova, Anastasiia Varava, Peiyang Shi, J. Frederico Carvalho, Danica Kragić

Citations: 4 • 2020

Improving topological maps for safer and robust navigation

Ana C. Murillo, Paula Abad, J.J. Guerrero, Carlos Sagüés

Citations: 3 • 2009

Monitoring Weeder Robots and Anticipating Their Functioning by Using Advanced Topological Data Analysis

Tarek Frahi, Abel Sancarlos, Mathieu Galle, Xavier Beaulieu, Anne Chambard, Antonio Falcó, Elías Cueto, Francisco Chinesta

Citations: 2 • 2021

Persistent homology as a universal metric for collective motion

Guillermo Legarda Herranz, Emanuele Garone

Citations: 2 • 2026