Persistent homology

Topological trajectory classification with filtrations of simplicial complexes and persistent homology

Florian T. Pokorny, Majd Hawasly, Subramanian Ramamoorthy

Citations: 46 • 2015

Grasping objects with holes: A topological approach

Florian T. Pokorny, Johannes A. Stork, Danica Kragić

Citations: 43 • 2013

Multiscale Topological Trajectory Classification with Persistent Homology

Florian T. Pokorny, Majd Hawasly, Subramanian Ramamoorthy

Citations: 35 • 2014

Topological trajectory clustering with relative persistent homology

Florian T. Pokorny, Ken Goldberg, Danica Kragić

Citations: 25 • 2016

Topological exploration of unknown and partially known environments

Soonkyum Kim, Subhrajit Bhattacharya, Robert Ghrist, Vijay Kumar

Citations: 22 • 2013

Persistent Homology for Effective Non-Prehensile Manipulation

Ewerton R. Vieira, Daniel Nakhimovich, Kai Gao, Rui Wang, Jingjin Yu, Kostas E. Bekris

Citations: 19 • 2022

Optimal trajectory generation under homology class constraints

Soonkyum Kim, Koushil Sreenath, Subhrajit Bhattacharya, Vijay Kumar

Citations: 19 • 2012

Homological sensing for mobile robot localization

Jason Derenick, Alberto Speranzon, Robert Ghrist

Citations: 16 • 2013

Persistent homology for automatic determination of human-data based cost of bipedal walking

Ram Vasudevan, Aaron D. Ames, Růžena Bajcsy

Citations: 16 • 2012

High-dimensional Winding-Augmented Motion Planning with 2D topological task projections and persistent homology

Florian T. Pokorny, Danica Kragić, Lydia E. Kavraki, Ken Goldberg

Citations: 16 • 2016

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

Ragesh K. Ramachandran, Sean Wilson, Spring Berman

Citations: 14 • 2017

Configuration spaces of thick particles on a metric graph

Kenneth Deeley

Citations: 8 • 2011

Homology of planar telescopic linkages

Michael Färber, Viktor Fromm

Citations: 7 • 2010

Human Based Cost from Persistent Homology for Bipedal Walking

Ram Vasudevan, Aaron D. Ames, Růžena Bajcsy

Citations: 4 • 2011

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

Ragesh K. Ramachandran, Sean Wilson, Spring Berman

Citations: 4 • 2018

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