W. Whiteley

Publications
Influence

Rigidity, computation, and randomization in network localization

Tolga Eren, D. K. Goldenberg, +4 authors P. Belhumeur
Computer Science
IEEE INFOCOM
7 March 2004

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

A Theory of Network Localization

J. Aspnes, Tolga Eren, +5 authors P. Belhumeur
Computer Science
IEEE Transactions on Mobile Computing
1 December 2006

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

The Union of Matroids and the Rigidity of Frameworks

W. Whiteley
Mathematics, Computer Science
SIAM J. Discret. Math.
1 May 1988

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

Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks

R. Connelly, W. Whiteley
Mathematics, Computer Science
SIAM J. Discret. Math.
1 August 1996

Method for joining a dielectric or semi-conductive element to a metallic layer employing a combination of heating techniques. Expand

Rigidity and scene analysis

W. Whiteley
Computer Science
Handbook of Discrete and Computational Geometry…
2004

The Orbit Rigidity Matrix of a Symmetric Framework

Bernd Schulze, W. Whiteley
Mathematics, Computer Science
Discret. Comput. Geom.
4 June 2010

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

Operations on Rigid Formations of Autonomous Agents

B. D. Anderson, P. Belhumeur, T. Eren, A. Morse, W. Whiteley
Computer Science
Commun. Inf. Syst.
2003

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

Using Angle of Arrival (Bearing) Information in Network Localization

T. Eren, W. Whiteley, P.N. Belhumeur
Mathematics, Computer Science
Proceedings of the 45th IEEE Conference on…
1 December 2006

In this paper, we consider using angle of arrival information (bearing) for sensor network localization. Expand

Sensor and network topologies of formations with direction, bearing, and angle information between agents

T. Eren, W. Whiteley, A. Morse, P. Belhumeur, B. D. Anderson
Mathematics
42nd IEEE International Conference on Decision…
9 December 2003

Sensor and network topologies of formations of autonomous agents are considered. Expand

Information structures to secure control of rigid formations with leader-follower architecture

T. Eren, W. Whiteley, B. Anderson, A. Morse, P.N. Belhumeur
Engineering
Proceedings of the , American Control Conference…
8 June 2005

This paper is concerned with rigid formations of mobile autonomous agents that have leader-follower architecture. Expand

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