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Relax and Unfold: Microphone Localization with Euclidean Distance Matrices

Related publications (46)

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Distributed Sensor Network Localization from Local Connectivity: Performance Analysis for the HOP-TERRAIN Algorithm

Amin Karbasi

This paper addresses the problem of determining the node locations in ad-hoc sensor networks when only connectivity information is available. In previous work, we showed that the localization algorithm MDS-MAP proposed by Y. Shang \textit{et al} is able to ...

2010

Differential geometry applied to crystallography

Philippe Kocian

The mathematical facet of modern crystallography is essentially based on analytical geometry, linear algebra as well as group theory. This study endeavours to approach the geometry and symmetry of crystals using the tools furnished by differential geometry ...

EPFL2009

On the Hodge decomposition in $\mathbb{R}^n$

Marc Troyanov

We prove a version of the

L^p

hodge decomposition for differential forms in Euclidean space and a generalization to the class of Lizorkin currents. We also compute the

L_{qp}-

cohomology of

\mathbb{R}^n

. ...

2009

Partial and approximate symmetry detection for 3D geometry

Mark Pauly

"Symmetry is a complexity-reducing concept [...]; seek it every-where." - Alan J. Perlis Many natural and man-made objects exhibit significant symmetries or contain repeated substructures. This paper presents a new algorithm that processes geometric models ...

2006

The diffusion of Radon Shape

Victor Panaretos

In 1977, D. G. Kendall [J. Appl. Probab. 28 (1991), no. 1, 225--230; MR1090460 (92f:60135)] considered diffusions of shape induced by independent Brownian motions in Euclidean space. In this paper, we consider a different class of diffusions of shape, indu ...

2006

Laplacian Operator, Diffusion Flow and Active Contour on non-Euclidean Images

Jean-Philippe Thiran, Pierre Vandergheynst, Xavier Bresson, Iva Bogdanova Vandergheynst

We propose here some basic approaches to direct processing of the

360^o

-images as we take into consideration the geometry of each one. Obviously, the geometry of each of these images is a consequence of the geometry of the sensor's mirror used. This tech ...

2005

Registration and visualization of transcranial magnetic stimulation on magnetic resonance images

Olivier Cuisenaire, Benoît Macq

We propose a method for the registration of MRI brain images with the physical space. Points on the patients scalp are acquired using a magnetic-field digitizer. The registration transform is the rigid transform that minimizes the mean square distance bet ...

IEEE2001

Geometrical Behaviours: An Architectural Mise-en-scène for a Reenactment of Lewis Carroll's Alice's Adventures in Wonderland

Caroline Dionne

The content of this thesis is two-fold. The first part takes the form of an essay while the second part presents a theoretical project for an architectural installation. Using these two modes as different ways to address similar issues, the present work pr ...

McGill University, Post-Graduate Masters (M.Arch) Theory of Architecture1999

Error-energy bounds for adaptive gradient algorithms

Ali H. Sayed

The paper establishes robustness, optimality, and convergence properties of the widely used class of instantaneous-gradient adaptive algorithms. The analysis is carried out in a purely deterministic framework and assumes no a priori statistical information ...

IEEE1996

New results about 3D digital lines

The current definition of 3D digital lines, which uses the 2D digital lines of closest integer points (Bresenham's lines) of two projections, has several drawbacks: the discrete topology of this 3D digital line notion is not clear; its third projection is, ...

SPIE-Int. Soc. Opt. Eng1996