Homology (biology)

On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds

Jacob T. Schwartz, Micha Sharir

Citations: 807 • 1983

Topological constraints in search-based robot path planning

Subhrajit Bhattacharya, Maxim Likhachev, Vijay Kumar

Citations: 177 • 2012

Novel Src Homology 3 Domain-binding Motifs Identified from Proteomic Screen of a Pro-rich Region

Christina Y. H. Jia, Jing Nie, Chenggang Wu, Chengjun Li, Shawn S.‐C. Li

Citations: 65 • 2005

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

Invariants for homology classes with application to optimal search and planning problem in robotics

Subhrajit Bhattacharya, David B. Lipsky, Robert Ghrist, Vijay Kumar

Citations: 31 • 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

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

Gene discovery in the embryonic chick retina.

Abigail S. Hackam, Rebecca L. Bradford, Rita N. Bakhru, Raza M. Shah, Ronald H. Farkas, Donald J. Zack, Ruben Adler

Citations: 14 • 2003

Persistent Homology Meets Object Unity: Object Recognition in Clutter

Ekta U. Samani, Ashis G. Banerjee

Citations: 9 • 2023

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

Topological duality in humanoid robot dynamics

V. Ivancevic, C. E. M. Pearce

Citations: 4 • 2001

Homology-Rank-Informed Geometry Score for Configuration Space Reconstruction

Jorge Ocampo Jimenez, Wael Suleiman

Citations: 2 • 2023

Invariants for Homology Classes with Application to Optimal Search and Planning Problem in Robotics

Subhrajit Bhattacharya

Citations: 2 • 2012