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Global Optimization with Polynomials and the Problem of Moments

by Jean B. Lasserre - SIAM Journal on Optimization , 2001
"... We consider the problem of finding the unconstrained global minimum of a realvalued polynomial p(x) : R R, as well as the global minimum of p(x), in a compact set K defined by polynomial inequalities. It is shown that this problem reduces to solving an (often finite) sequence of convex linear mat ..."
Abstract - Cited by 569 (47 self) - Add to MetaCart
We consider the problem of finding the unconstrained global minimum of a realvalued polynomial p(x) : R R, as well as the global minimum of p(x), in a compact set K defined by polynomial inequalities. It is shown that this problem reduces to solving an (often finite) sequence of convex linear

Detection and Tracking of Point Features

by Carlo Tomasi, Takeo Kanade - International Journal of Computer Vision , 1991
"... The factorization method described in this series of reports requires an algorithm to track the motion of features in an image stream. Given the small inter-frame displacement made possible by the factorization approach, the best tracking method turns out to be the one proposed by Lucas and Kanade i ..."
Abstract - Cited by 622 (2 self) - Add to MetaCart
algorithm, and expresses how well a feature can be tracked. As a result, the criterion is optima...

Space-time Interest Points

by Ivan Laptev, Tony Lindeberg - IN ICCV , 2003
"... Local image features or interest points provide compact and abstract representations of patterns in an image. In this paper, we propose to extend the notion of spatial interest points into the spatio-temporal domain and show how the resulting features often reflect interesting events that can be use ..."
Abstract - Cited by 791 (22 self) - Add to MetaCart
Local image features or interest points provide compact and abstract representations of patterns in an image. In this paper, we propose to extend the notion of spatial interest points into the spatio-temporal domain and show how the resulting features often reflect interesting events that can

How Iris Recognition Works

by John Daugman , 2003
"... Algorithms developed by the author for recogniz-ing persons by their iris patterns have now been tested in six field and laboratory trials, producing no false matches in several million comparison tests. The recognition principle is the failure of a test of statis-tical independence on iris phase st ..."
Abstract - Cited by 495 (4 self) - Add to MetaCart
structure encoded by multi-scale quadrature wavelets. The combinatorial complexity of this phase information across different persons spans about 244 degrees of freedom and gen-erates a discrimination entropy of about 3.2 bits/mm over the iris, enabling real-time decisions about per-sonal identity

How bad is selfish routing?

by Tim Roughgarden, Éva Tardos - JOURNAL OF THE ACM , 2002
"... We consider the problem of routing traffic to optimize the performance of a congested network. We are given a network, a rate of traffic between each pair of nodes, and a latency function for each edge specifying the time needed to traverse the edge given its congestion; the objective is to route t ..."
Abstract - Cited by 678 (27 self) - Add to MetaCart
. In this article, we quantify the degradation in network performance due to unregulated traffic. We prove that if the latency of each edge is a linear function of its congestion, then the total latency of the routes chosen by selfish network users is at most 4/3 times the minimum possible total latency (subject

Reflectance and texture of real-world surfaces

by Kristin J. Dana, Bram van Ginneken, Shree K. Nayar, Jan J. Koenderink - ACM TRANS. GRAPHICS , 1999
"... In this work, we investigate the visual appearance of real-world surfaces and the dependence of appearance on scale, viewing direction and illumination direction. At ne scale, surface variations cause local intensity variation or image texture. The appearance of this texture depends on both illumina ..."
Abstract - Cited by 586 (23 self) - Add to MetaCart
of the BRDF measurements, we t the measurements to two recent models and obtain a BRDF parameter database. These parameters can be used directly in image analysis and synthesis of a wide variety of surfaces. The BTF, BRDF, and BRDF parameter databases have important implications for computer vision

Interior Point Methods in Semidefinite Programming with Applications to Combinatorial Optimization

by Farid Alizadeh - SIAM Journal on Optimization , 1993
"... We study the semidefinite programming problem (SDP), i.e the problem of optimization of a linear function of a symmetric matrix subject to linear equality constraints and the additional condition that the matrix be positive semidefinite. First we review the classical cone duality as specialized to S ..."
Abstract - Cited by 557 (12 self) - Add to MetaCart
to SDP. Next we present an interior point algorithm which converges to the optimal solution in polynomial time. The approach is a direct extension of Ye's projective method for linear programming. We also argue that most known interior point methods for linear programs can be transformed in a

Breaking and Fixing the Needham-Schroeder Public-Key Protocol using FDR

by Gavin Lowe , 1996
"... In this paper we analyse the well known Needham-Schroeder Public-Key Protocol using FDR, a refinement checker for CSP. We use FDR to discover an attack upon the protocol, which allows an intruder to impersonate another agent. We adapt the protocol, and then use FDR to show that the new protocol is s ..."
Abstract - Cited by 716 (13 self) - Add to MetaCart
is secure, at least for a small system. Finally we prove a result which tells us that if this small system is secure, then so is a system of arbitrary size. 1 Introduction In a distributed computer system, it is necessary to have some mechanism whereby a pair of agents can be assured of each other

QSplat: A Multiresolution Point Rendering System for Large Meshes

by Szymon Rusinkiewicz, Marc Levoy , 2000
"... Advances in 3D scanning technologies have enabled the practical creation of meshes with hundreds of millions of polygons. Traditional algorithms for display, simplification, and progressive transmission of meshes are impractical for data sets of this size. We describe a system for representing and p ..."
Abstract - Cited by 500 (8 self) - Add to MetaCart
Advances in 3D scanning technologies have enabled the practical creation of meshes with hundreds of millions of polygons. Traditional algorithms for display, simplification, and progressive transmission of meshes are impractical for data sets of this size. We describe a system for representing

The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue

by Roelof Koekoek, René F. Swarttouw , 1998
"... We list the so-called Askey-scheme of hypergeometric orthogonal polynomials and we give a q- analogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order di#erent ..."
Abstract - Cited by 580 (6 self) - Add to MetaCart
We list the so-called Askey-scheme of hypergeometric orthogonal polynomials and we give a q- analogue of this scheme containing basic hypergeometric orthogonal polynomials. In chapter 1 we give the definition, the orthogonality relation, the three term recurrence relation, the second order di
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