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Weighted total least squares formulated by standard least squares theory [PDF]
Journal of Geodetic Science, 2012 Weighted total least squares formulated by standard least squares theoryThis contribution presents a simple, attractive, and flexible formulation for the weighted total least squares (WTLS) problem. It is simple because it is based on the well-known standard least squares theory; it is attractive because it allows one to directly use the existing body ...
Alireza Amiri-Simkooei
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Tikhonov regularization for weighted total least squares problems
Applied Mathematics Letters, 2007 A general version of Tikhonov's formulation for the linear weighted total least squares (WTLS) problem has been considered by \textit{G. H. Golub} and \textit{C. F. van Loan} [SIAM J. Numer. Anal. 17, 883--893 (1980; Zbl 0468.65011)]. The present paper focus on the regularized weighted total least squares (RWTLS) formulation. It is shown that the RWTLS
Yimin Wei, Michael Ng, Naimin Zhang
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Applying Monte Carlo Method for Straight-Line Model Sensor Calibration [PDF]
SensorsSensors are used in measurement systems to enable estimation of physical parameters. Their calibration is an essential requirement and to perform the overall system/sensor calibration, its input is changed while the output is measured. Parameters from an
Pedro M. Ramos, Fernando M. Janeiro
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On weighted total least squares adjustment for solving the nonlinear problems
Journal of Geodetic Science, 2014 In the classical geodetic data processing, a non- linear problem always can be converted to a linear least squares adjustment. However, the errors in Jacob matrix are often not being considered when using the least square method to estimate the optimal ...
Hu C., Chen Y., Peng Y.
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The element-wise weighted total least-squares problem [PDF]
Computational Statistics & Data Analysis, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Markovsky +4 more
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Robust denoising-oriented point cloud plane fitting method based on a combined model of improved Cook’s distance and WTLS [PDF]
Journal of Intelligent Manufacturing and Special Equipment, 2022 Purpose – In order to improve the robustness to noise in point cloud plane fitting, a combined model of improved Cook’s distance (ICOOK) and WTLS is proposed by setting a modified Cook’s increment, which could help adaptively remove the noise points that
Chongjun Wu +3 more
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PERFORMING IMPROVED TWO-STEP CAMERA CALIBRATION WITH WEIGHTED TOTAL LEAST-SQUARES [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2012 In order to improve the Tsai's two-step camera calibration method, we present a camera model which accounts for major sources of lens distortion, namely: radial, decentering, and thin prism distortions.
J. Lu
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An Efficient Algorithm for Infrared Earth Sensor with a Large Field of View
Sensors, 2022 Infrared Earth sensors with large-field-of-view (FOV) cameras are widely used in low-Earth-orbit satellites. To improve the accuracy and speed of Earth sensors, an algorithm based on modified random sample consensus (RANSAC) and weighted total least ...
Bendong Wang, Hao Wang, Zhonghe Jin
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Remote Sensing, 2022 Precise and rapid extraction of spherical target features from laser point clouds is critical for achieving high-precision registration of multiple point clouds.
Ronghua Yang +3 more
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Weighted Total Least Squares for Quadratic Errors-in-Variables Regression
2023 31st European Signal Processing Conference (EUSIPCO), 2023 In this paper, we present a study on using weightedtotal least squares method for parameter estimation of errorsin-variables models with quadratic regressors. The statistics oferror is analyzed to fill in the gap between basic assumptions inweighted total least squares and our case.
Liu, Peng +3 more
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