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New results in linear filtering and prediction theory
 TRANS. ASME, SER. D, J. BASIC ENG
, 1961
"... A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary sta ..."
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Cited by 607 (0 self)
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A nonlinear differential equation of the Riccati type is derived for the covariance matrix of the optimal filtering error. The solution of this "variance equation " completely specifies the optimal filter for either finite or infinite smoothing intervals and stationary or nonstationary
MonoSLAM: Realtime single camera SLAM
 IEEE Transactions on Pattern Analysis and Machine Intelligence
, 2007
"... Abstract—We present a realtime algorithm which can recover the 3D trajectory of a monocular camera, moving rapidly through a previously unknown scene. Our system, which we dub MonoSLAM, is the first successful application of the SLAM methodology from mobile robotics to the “pure vision ” domain of ..."
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Cited by 490 (26 self)
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an active approach to mapping and measurement, the use of a general motion model for smooth camera movement, and solutions for monocular feature initialization and feature orientation estimation. Together, these add up to an extremely efficient and robust algorithm which runs at 30 Hz with standard PC
A path independent integral and the approximate analysis of strain concentration by notches and cracks
, 1967
"... An integral is exhibited which has the same value for all paths surrounding a class of notches in twodimensional deformation fields of linear or nonlinear elastic materials. The integral may be evaluated almost by inspection for a few notch configurations. Also, for materials of the elasticplasti ..."
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Cited by 419 (11 self)
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to: 1) Approximate estimates of strain concentrations at smooth ended notch tips in elastic and elasticplastic materials, 2) A general solution for crack tip separation in the BarenblattDugdale crack model, leading to a proof of the identity of the Griffith theory and Barenblatt cohesive theory
Restoration of a Single Superresolution Image from Several Blurred, Noisy, and Undersampled Measured Images
, 1997
"... The three main tools in the single image restoration theory are the maximum likelihood (ML) estimator, the maximum a posteriori probability (MAP) estimator, and the set theoretic approach using projection onto convex sets (POCS). This paper utilizes the above known tools to propose a unified methodo ..."
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Cited by 267 (22 self)
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The three main tools in the single image restoration theory are the maximum likelihood (ML) estimator, the maximum a posteriori probability (MAP) estimator, and the set theoretic approach using projection onto convex sets (POCS). This paper utilizes the above known tools to propose a unified
A tutorial on particle filtering and smoothing: fifteen years later
 OXFORD HANDBOOK OF NONLINEAR FILTERING
, 2011
"... Optimal estimation problems for nonlinear nonGaussian statespace models do not typically admit analytic solutions. Since their introduction in 1993, particle filtering methods have become a very popular class of algorithms to solve these estimation problems numerically in an online manner, i.e. r ..."
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Cited by 214 (15 self)
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Optimal estimation problems for nonlinear nonGaussian statespace models do not typically admit analytic solutions. Since their introduction in 1993, particle filtering methods have become a very popular class of algorithms to solve these estimation problems numerically in an online manner, i
DECAY ESTIMATES AND SMOOTHNESS FOR SOLUTIONS OF THE DISPERSION MANAGED NONLINEAR SCHRÖDINGER EQUATION
"... Abstract. We study the decay and smoothness of solutions of the dispersion managed nonlinear Schrödinger equation in the critical case of zero residual dispersion. Using new xspace versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying. 1. ..."
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Cited by 12 (6 self)
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Abstract. We study the decay and smoothness of solutions of the dispersion managed nonlinear Schrödinger equation in the critical case of zero residual dispersion. Using new xspace versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying. 1.
Distributed Subgradient Methods for Multiagent Optimization
, 2007
"... We study a distributed computation model for optimizing a sum of convex objective functions corresponding to multiple agents. For solving this (not necessarily smooth) optimization problem, we consider a subgradient method that is distributed among the agents. The method involves every agent minimiz ..."
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Cited by 240 (25 self)
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We study a distributed computation model for optimizing a sum of convex objective functions corresponding to multiple agents. For solving this (not necessarily smooth) optimization problem, we consider a subgradient method that is distributed among the agents. The method involves every agent
iSAM: Incremental Smoothing and Mapping
, 2008
"... We present incremental smoothing and mapping (iSAM), a novel approach to the simultaneous localization and mapping problem that is based on fast incremental matrix factorization. iSAM provides an efficient and exact solution by updating a QR factorization of the naturally sparse smoothing informatio ..."
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Cited by 153 (35 self)
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We present incremental smoothing and mapping (iSAM), a novel approach to the simultaneous localization and mapping problem that is based on fast incremental matrix factorization. iSAM provides an efficient and exact solution by updating a QR factorization of the naturally sparse smoothing
Supergravity flows and Dbrane stability
, 2000
"... We investigate the correspondence between existence/stability of BPS states in type II string theory compactified on a CalabiYau manifold and BPS solutions of four dimensional N=2 supergravity. Some paradoxes emerge, and we propose a resolution by considering composite configurations. This in turn ..."
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Cited by 207 (14 self)
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gives a smooth effective field theory description of decay at marginal stability. We also discuss the connection with 3pronged strings, the Joyce transition of special Lagrangian submanifolds,
Boundary decay estimates for solutions of elliptic equations
, 2008
"... We obtain integral boundary decay estimates for solutions of second and fourthorder elliptic equations on a bounded domain with smooth boundary. These improve upon previous results of this type in the secondorder case and, we believe, are new in the fourth order case. We apply these estimates to ..."
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We obtain integral boundary decay estimates for solutions of second and fourthorder elliptic equations on a bounded domain with smooth boundary. These improve upon previous results of this type in the secondorder case and, we believe, are new in the fourth order case. We apply these estimates
Results 1  10
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2,500