Results 1 - 10 of 2,500

New results in linear filtering and prediction theory

by R. E. Kalman, R. S. Bucy - 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 ..."
Abstract - Cited by 607 (0 self) - Add to MetaCart
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

by Andrew J. Davison, Ian D. Reid, Nicholas D. Molton, Olivier Stasse - IEEE Transactions on Pattern Analysis and Machine Intelligence , 2007
"... Abstract—We present a real-time 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 ..."
Abstract - Cited by 490 (26 self) - Add to MetaCart
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

by James R. Rice , 1967
"... An integral is exhibited which has the same value for all paths surrounding a class of notches in two-dimensional deformation fields of linear or non-linear elastic materials. The integral may be evaluated almost by inspection for a few notch configurations. Also, for materials of the elastic-plasti ..."
Abstract - Cited by 419 (11 self) - Add to MetaCart
to: 1) Approximate estimates of strain concentrations at smooth ended notch tips in elastic and elastic-plastic materials, 2) A general solution for crack tip separation in the Barenblatt-Dugdale 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

by Michael Elad, Arie Feuer , 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 ..."
Abstract - Cited by 267 (22 self) - Add to MetaCart
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

by Arnaud Doucet, Adam M. Johansen - OXFORD HANDBOOK OF NONLINEAR FILTERING , 2011
"... Optimal estimation problems for non-linear non-Gaussian state-space 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 ..."
Abstract - Cited by 214 (15 self) - Add to MetaCart
Optimal estimation problems for non-linear non-Gaussian state-space 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 NON-LINEAR SCHRÖDINGER EQUATION

by Dirk Hundertmark, Young-ran Lee
"... Abstract. We study the decay and smoothness of solutions of the dispersion managed non-linear Schrödinger equation in the critical case of zero residual dispersion. Using new x-space versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying. 1. ..."
Abstract - Cited by 12 (6 self) - Add to MetaCart
Abstract. We study the decay and smoothness of solutions of the dispersion managed non-linear Schrödinger equation in the critical case of zero residual dispersion. Using new x-space versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying. 1.

Distributed Subgradient Methods for Multi-agent Optimization

by Angelia Nedić, Asuman Ozdaglar , 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 ..."
Abstract - Cited by 240 (25 self) - Add to MetaCart
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

by Michael Kaess, Ananth Ranganathan, Frank Dellaert , 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 ..."
Abstract - Cited by 153 (35 self) - Add to MetaCart
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 D-brane stability

by Frederik Denef , 2000
"... We investigate the correspondence between existence/stability of BPS states in type II string theory compactified on a Calabi-Yau 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 ..."
Abstract - Cited by 207 (14 self) - Add to MetaCart
gives a smooth effective field theory description of decay at marginal stability. We also discuss the connection with 3-pronged strings, the Joyce transition of special Lagrangian submanifolds,

Boundary decay estimates for solutions of elliptic equations

by G. Barbatis , 2008
"... We obtain integral boundary decay estimates for solutions of second- and fourth-order elliptic equations on a bounded domain with smooth boundary. These improve upon previous results of this type in the second-order 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 fourth-order elliptic equations on a bounded domain with smooth boundary. These improve upon previous results of this type in the second-order case and, we believe, are new in the fourth order case. We apply these estimates
Results 1 - 10 of 2,500