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Multiscale Topological Trajectory Classification with Persistent Homology
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/11008941_5openalex-snapshot
Current Issues in Sampling-Based Motion Planning
inferredcites →https://doi.org/10.1007/978-0-387-87363-3_22openalex-snapshot
Finding the Homology of Submanifolds with High Confidence from Random Samples
inferredcites →https://doi.org/10.1007/978-1-4614-1629-6openalex-snapshot
Computing with Spatial Trajectories
inferredcites →https://doi.org/10.1007/978-3-540-30301-5_60openalex-snapshot
Robot Programming by Demonstration
inferredcites →https://doi.org/10.1007/978-3-540-33259-6_7openalex-snapshot
Computational Topology: An Introduction
inferredcites →https://doi.org/10.1007/978-3-540-68405-3_2openalex-snapshot
Path Deformation Roadmaps
inferredcites →https://doi.org/10.1007/bf02574053openalex-snapshot
The union of balls and its dual shape
inferredcites →https://doi.org/10.1007/s00454-008-9053-2openalex-snapshot
Finding the Homology of Submanifolds with High Confidence from Random Samples
inferredcites →https://doi.org/10.1007/s10472-013-9357-7openalex-snapshot
Invariants for homology classes with application to optimal search and planning problem in robotics
inferredcites →https://doi.org/10.1016/0196-8858(83)90014-3openalex-snapshot
On the “piano movers” problem. II. General techniques for computing topological properties of real algebraic manifolds
inferredcites →https://doi.org/10.1109/70.508439openalex-snapshot
Probabilistic roadmaps for path planning in high-dimensional configuration spaces
inferredcites →https://doi.org/10.1109/cdc.2012.6425970openalex-snapshot
Optimal trajectory generation under homology class constraints
inferredcites →https://doi.org/10.1109/cvpr.2009.5206559openalex-snapshot
Learning trajectory patterns by clustering: Experimental studies and comparative evaluation
inferredcites →https://doi.org/10.1109/cvprw.2009.5206559openalex-snapshot
Learning trajectory patterns by clustering: Experimental studies and comparative evaluation
inferredcites →https://doi.org/10.1109/iros.2007.4399064openalex-snapshot
A hybrid approach for complete motion planning
inferredcites →https://doi.org/10.1109/robot.2000.844111openalex-snapshot
Real-time re-planning in high-dimensional configuration spaces using sets of homotopic paths
inferredcites →https://doi.org/10.1112/s0025579300002850openalex-snapshot
The maximum numbers of faces of a convex polytope
inferredcites →https://doi.org/10.1145/235815.235821openalex-snapshot
The quickhull algorithm for convex hulls
inferredcites →https://doi.org/10.1177/0278364908098411openalex-snapshot
Path Deformation Roadmaps: Compact Graphs with Useful Cycles for Motion Planning
inferredcites →https://doi.org/10.1177/0278364911406761openalex-snapshot
Sampling-based algorithms for optimal motion planning
inferredcites →https://doi.org/10.1177/0278364911430418openalex-snapshot
Toward a deeper understanding of motion alternatives via an equivalence relation on local paths
inferredcites →https://doi.org/10.1201/9781439864135-43openalex-snapshot
Rapidly-Exploring Random Trees: Progress and Prospects
inferredcites →https://doi.org/10.15607/rss.2011.vii.002openalex-snapshot
Identification and Representation of Homotopy Classes of Trajectories for Search-based Path Planning in 3D
inferredcites →https://doi.org/10.1609/aaai.v24i1.7735openalex-snapshot
Search-Based Path Planning with Homotopy Class Constraints
inferredcites →https://doi.org/10.1609/socs.v1i1.18155openalex-snapshot
Search-Based Path Planning with Homotopy Class Constraints
inferredcites →https://doi.org/10.5281/zenodo.1074971openalex-snapshot
Classic And Heuristic Approaches In Robot Motion Planning A Chronological Review
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/978-3-030-27538-9_62openalex-snapshot
An Online Motion Planning Approach of Mobile Robots in Distinctive Homotopic Classes by a Sparse Roadmap
inferred← citeshttps://doi.org/10.1007/978-3-030-41188-6_9openalex-snapshot
Persistent Homology for Dimensionality Reduction
inferred← citeshttps://doi.org/10.1007/978-3-030-43089-4_27openalex-snapshot
Synthesis of Energy-Bounded Planar Caging Grasps using Persistent Homology
inferred← citeshttps://doi.org/10.1007/978-3-319-68445-1_32openalex-snapshot
Multi-scale Activity Estimation with Spatial Abstractions
inferred← citeshttps://doi.org/10.1007/s41468-025-00217-9openalex-snapshot
Topology-aware planning under linear temporal logic constraints
inferred← citeshttps://doi.org/10.1016/j.matcom.2021.01.013openalex-snapshot
Parameter estimation in systems exhibiting spatially complex solutions via persistent homology and machine learning
inferred← citeshttps://doi.org/10.1016/j.mlwa.2025.100719openalex-snapshot
Topological data analysis for driver behavior classification driven by vehicle trajectory data
inferred← citeshttps://doi.org/10.1016/j.robot.2016.11.007openalex-snapshot
Integrated online trajectory planning and optimization in distinctive topologies
inferred← citeshttps://doi.org/10.1093/imaiai/iaad022openalex-snapshot
Topological information retrieval with dilation-invariant bottleneck comparative measures
inferred← citeshttps://doi.org/10.1101/2023.07.13.547329openalex-snapshot
Deconstructing Complexity: A Computational Topology Approach to Trajectory Inference in the Human Thymus with tviblindi
inferred← citeshttps://doi.org/10.1109/ecmr.2015.7324179openalex-snapshot
Planning of multiple robot trajectories in distinctive topologies
inferred← citeshttps://doi.org/10.1109/icra.2015.7139774openalex-snapshot
A heuristic approach to finding diverse short paths
inferred← citeshttps://doi.org/10.1109/icra.2016.7487092openalex-snapshot
Topological trajectory clustering with relative persistent homology
inferred← citeshttps://doi.org/10.1109/icra.2016.7487479openalex-snapshot
Unsupervised trajectory compression
inferred← citeshttps://doi.org/10.1109/iros40897.2019.8968148openalex-snapshot
Approximating Cfree Space Topology by Constructing Vietoris-Rips Complex
inferred← citeshttps://doi.org/10.1109/lra.2016.2602240openalex-snapshot
A Fast Random Walk Approach to Find Diverse Paths for Robot Navigation
inferred← citeshttps://doi.org/10.1109/smc.2017.8122657openalex-snapshot
Topology-aware RRT* for parallel optimal sampling in topologies
inferred← citeshttps://doi.org/10.1109/tase.2015.2475121openalex-snapshot
Planning Curvature and Torsion Constrained Ribbons in 3D With Application to Intracavitary Brachytherapy
inferred← citeshttps://doi.org/10.1109/tase.2018.2831724openalex-snapshot
Synthesis of Energy-Bounded Planar Caging Grasps Using Persistent Homology
inferred← citeshttps://doi.org/10.1109/tro.2015.2412051openalex-snapshot
Persistent Homology for Path Planning in Uncertain Environments
inferred← citeshttps://doi.org/10.1137/1.9781611976472.16openalex-snapshot
Fast Minimal Presentations of Bi-graded Persistence Modules
inferred← citeshttps://doi.org/10.1177/0278364915586713openalex-snapshot
Topological trajectory classification with filtrations of simplicial complexes and persistent homology
inferred← citeshttps://doi.org/10.15607/rss.2015.xi.049openalex-snapshot
Data-Driven Topological Motion Planning with Persistent Cohomology
inferred← citeshttps://doi.org/10.3390/s16122203openalex-snapshot
Topological Path Planning in GPS Trajectory Data
inferred← citeshttps://doi.org/10.7287/peerj-cs.1195v0.1/reviews/1openalex-snapshot
Peer Review #1 of "Persistent homology classification algorithm (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.1195v0.1/reviews/2openalex-snapshot
Peer Review #2 of "Persistent homology classification algorithm (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.1195v0.2/reviews/1openalex-snapshot
Peer Review #1 of "Persistent homology classification algorithm (v0.2)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.1195v0.2/reviews/2openalex-snapshot
Peer Review #2 of "Persistent homology classification algorithm (v0.2)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.1195v0.3/reviews/1openalex-snapshot
Peer Review #1 of "Persistent homology classification algorithm (v0.3)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.1195v0.4/reviews/1openalex-snapshot
Peer Review #1 of "Persistent homology classification algorithm (v0.4)"
inferred← citeshttps://doi.org/10.7554/elife.95861openalex-snapshot
Deconstructing Complexity: A Computational Topology Approach to Trajectory Inference in the Human Thymus with tviblindi
inferred← citeshttps://doi.org/10.7554/elife.95861.1openalex-snapshot
Deconstructing Complexity: A Computational Topology Approach to Trajectory Inference in the Human Thymus with tviblindi
inferred← citeshttps://doi.org/10.7554/elife.95861.2openalex-snapshot
Deconstructing Complexity: A Computational Topology Approach to Trajectory Inference in the Human Thymus with tviblindi
inferred← citeshttps://doi.org/10.7717/peerj-cs.1195openalex-snapshot
Persistent homology classification algorithm
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