2007 IEEE/RSJ International Conference on Intelligent Robots and Systems 2007
DOI: 10.1109/iros.2007.4399506
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Global visual-motor estimation for uncalibrated visual servoing

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Cited by 34 publications
(33 citation statements)
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“…To do away with this dependence, one could optimize for the parameters in the image Jacobian while error in the image plane is being minimized. This is done for instance, using Gauss-Newton to minimize squared image error and nonlinear least squares optimization for the image Jacobian [9], [10]; using weighted recursive least squares (RLS), not to obtain the true parameters, but instead an approximation that still guarantees asymptotic stability of the control law in the sense of Lyaponov [11]; or using k-nearest neighbor regression to store previously estimated local models or previous movements, and estimating the Jacobian using local least squares (LLS) [12]. To provide robustness to outliers in the computation of the Jacobian, [13] proposes the use of an M-estimator.…”
Section: Related Workmentioning
confidence: 99%
“…To do away with this dependence, one could optimize for the parameters in the image Jacobian while error in the image plane is being minimized. This is done for instance, using Gauss-Newton to minimize squared image error and nonlinear least squares optimization for the image Jacobian [9], [10]; using weighted recursive least squares (RLS), not to obtain the true parameters, but instead an approximation that still guarantees asymptotic stability of the control law in the sense of Lyaponov [11]; or using k-nearest neighbor regression to store previously estimated local models or previous movements, and estimating the Jacobian using local least squares (LLS) [12]. To provide robustness to outliers in the computation of the Jacobian, [13] proposes the use of an M-estimator.…”
Section: Related Workmentioning
confidence: 99%
“…It is worth also mentioning the Kalman method where the system is modelled by its state variables which are updated using Kalman filter equations [15], the Broyden method that recursively update the Jacobian by using the last movement and the previous Jacobian [5]. Recently, it was presented two new methods of estimating the global visual-motor Jacobian [7], the first one is a K-nearest neighbourhood regressor over Jacobian that uses previously estimated local models, the second method stores previous movements and computes an estimate of the Jacobian by solving a local least squares problem.…”
Section: A Multiple View Jacobianmentioning
confidence: 99%
“…This nonparametric method fits the weighted best hyperplane in the neighborhood of the query point S and returnsF (S) (See Section 5.4 of [13]). See [14] and [15] for similar approaches.…”
Section: A Locally Linear Regression For Model Estimationmentioning
confidence: 99%