Topological data analysis

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

David Kortenkamp, Terry E. Weymouth

引用数: 267 • 1994

Topological relationships between complex spatial objects

Markus Schneider, Thomas Behr

引用数: 212 • 2006

Topological mapping using spectral clustering and classification

Emma Brunskill, Thomas Kollar, Nicholas Roy

引用数: 108 • 2007

Topological trajectory classification with filtrations of simplicial complexes and persistent homology

Florian T. Pokorny, Majd Hawasly, Subramanian Ramamoorthy

引用数: 46 • 2015

Multiscale Topological Trajectory Classification with Persistent Homology

Florian T. Pokorny, Majd Hawasly, Subramanian Ramamoorthy

引用数: 35 • 2014

Incremental topological segmentation for semi-structured environments using discretized GVG

Ming Liu, Francis Colas, Luc Oth, Roland Siegwart

引用数: 31 • 2014

Topological exploration of unknown and partially known environments

Soonkyum Kim, Subhrajit Bhattacharya, Robert Ghrist, Vijay Kumar

引用数: 22 • 2013

Data driven MCMC for Appearance-based Topological Mapping

Ananth Ranganathan, Frank Dellaert

引用数: 20 • 2005

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

Ragesh K. Ramachandran, Sean Wilson, Spring Berman

引用数: 14 • 2017

Topological feature vectors for exploring topological relationships

Reasey Praing, Markus Schneider

引用数: 13 • 2008

Reliable topological place detection in bubble space

Hakan Karaoğuz, H. Işıl Bozma

引用数: 12 • 2014

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

Naoki Doteguchi, Naoyuki Kubota

引用数: 8 • 2022

TOPOLOGICAL MAPPING AND MAP MERGING WITH SENSING-LIMITED ROBOTS

Kristopher R. Beevers

引用数: 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

引用数: 5 • 2020

Topological characterization of mobile robot behavior

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

引用数: 4 • 2006

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

Ragesh K. Ramachandran, Sean Wilson, Spring Berman

引用数: 4 • 2018

Sequential Topological Representations for Predictive Models of Deformable Objects

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

引用数: 4 • 2020

Improving topological maps for safer and robust navigation

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

引用数: 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

引用数: 2 • 2021

Persistent homology as a universal metric for collective motion

Guillermo Legarda Herranz, Emanuele Garone

引用数: 2 • 2026