NONPOSITIVE CURVATURE AND PARETO-OPTIMAL COORDINATION OF ROBOTS∗ ROBERT GHRIST† AND STEVEN M. LAVALLE‡ Abstract. Given a collection of robots sharing a common environment, assume that each possesses a graph (a 1-d

Source URL: msl.cs.uiuc.edu

• Metric geometry
• Algebraic topology
• Homotopy theory
• General topology
• Motion planning
• Pareto efficiency
• Covering space
• Fundamental group
• Mathematical optimization
• Topology
• Mathematics
• Geometry

Minimalist Multiple Target Tracking Using Directional Sensor Beams Leonardo Bobadilla, Oscar Sanchez, Justin Czarnowski, Steven M. LaValle Abstract— We consider the problem of determining the paths of multiple, unpredi

Source URL: msl.cs.uiuc.edu

• Mathematical optimization
• Models of computation
• Multi-agent systems
• Dynamic programming
• Operations research
• Optimal control
• Algorithm
• Agent-based model
• Wireless sensor network
• Mathematics
• Systems theory
• Science

45th Association of Surveyors PNG Congress, Madang, 19-22 July[removed]Connecting a Survey to PNG94 and MSL using GNSS

Source URL: www.quickclose.com.au

• Cartography
• GPS
• Engineering
• Satellite navigation systems
• Aircraft instruments
• Datum
• Satellite navigation
• LORAN
• Global Positioning System
• Geodesy
• Technology
• Navigation

On Time: Clocks, Chronometers, and Open-Loop Control Steven M. LaValle [removed] Department of Computer Science University of Illinois Urbana, IL[removed]USA

Source URL: msl.cs.uiuc.edu

• Dynamical system
• Systems
• Systems theory
• State space
• Spectral theory
• Spectral theory of ordinary differential equations
• Μ operator
• Mathematical analysis
• Mathematics
• Operator theory

Space-Filling Trees: A New Perspective on Incremental Search for Motion Planning James J. Kuffner†‡ Steven M. LaValle§ † The Robotics Institute

Source URL: msl.cs.uiuc.edu

• Fractals
• Space-filling tree
• Graph connectivity
• Tree
• Path
• Degree
• Path decomposition
• Binary tree
• Graph theory
• Mathematics
• Combinatorics

Shortest Path Set Induced Vertex Ordering and its Application to Distributed Distance Optimal Formation Path Planning and Control on Graphs Jingjin Yu Steven M. LaValle

Source URL: msl.cs.uiuc.edu

• Routing algorithms
• Network theory
• Shortest path problem
• Distance
• Matching
• Edge disjoint shortest pair algorithm
• Hopcroft–Karp algorithm
• Mathematics
• Graph theory
• Theoretical computer science

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Source URL: msl.cs.uiuc.edu

Sensor Beams, Obstacles, and Possible Paths Benjamin Tovar1 , Fred Cohen2 , and Steven M. LaValle1 1 2 Department of Computer Science, University of Illinois. Urbana, IL[removed]USA. {btovar,lavalle}@uiuc.edu

Source URL: msl.cs.uiuc.edu

• Baseball at the Summer Olympics
• Baseball in China
• 2010–11 Australian Baseball League regular season
• Baseball
• Sports
• Baseball at the 2008 Summer Olympics

(Pre-draft, to be submitted to Atmospheric Environment) Observation of Ozone, Trace Gases, UV radiation, TSP and Aerosol, its composition and Optical Depth at Darjeeling (27.010N, 880 15”E, msl=7204 feet) and associat

Source URL: cgc.nplindia.org

• Chemistry
• Oxygen
• Environmental chemistry
• Disinfectants
• Gases
• Ozone
• Ultraviolet
• Air pollution
• Sunlight
• Atmospheric sciences
• Environment
• Ozone depletion