• Publications
  • Influence
Rigidity, computation, and randomization in network localization
TLDR
We provide a theoretical foundation for the problem of network localization in which some nodes know their locations and other nodes determine their locations by measuring the distances to their neighbors. Expand
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A Theory of Network Localization
TLDR
We construct grounded graphs to model network localization and apply graph rigidity theory to test the conditions for unique localizability and to construct uniquely localizable networks. Expand
  • 564
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The Union of Matroids and the Rigidity of Frameworks
  • W. Whiteley
  • Mathematics, Computer Science
  • SIAM J. Discret. Math.
  • 1 May 1988
TLDR
We show that a k-frame on a graph (or multigraph) has the matroid structure of the union of k copies of the cycle matroid of the graph. Expand
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Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks
TLDR
Method for joining a dielectric or semi-conductive element to a metallic layer employing a combination of heating techniques. Expand
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Rigidity and scene analysis
  • W. Whiteley
  • Computer Science
  • Handbook of Discrete and Computational Geometry…
  • 2004
  • 179
  • 13
The Orbit Rigidity Matrix of a Symmetric Framework
TLDR
We introduce a new tool, the orbit matrix, which connects these two areas and provides a matrix representation for fully symmetric infinitesimal flexes, and fully symmete stresses of symmetric frameworks, in all dimensions. Expand
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Operations on Rigid Formations of Autonomous Agents
TLDR
This paper focuses on developing techniques and strategies for the analysis and design of sensor and network topologies required to achieve a rigid formation of mobile au- tonomous agents. Expand
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Using Angle of Arrival (Bearing) Information in Network Localization
TLDR
In this paper, we consider using angle of arrival information (bearing) for sensor network localization. Expand
  • 64
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Sensor and network topologies of formations with direction, bearing, and angle information between agents
TLDR
Sensor and network topologies of formations of autonomous agents are considered. Expand
  • 90
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Information structures to secure control of rigid formations with leader-follower architecture
TLDR
This paper is concerned with rigid formations of mobile autonomous agents that have leader-follower architecture. Expand
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