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3,201
LeastSquare Fitting
"... Abstract: This paper presents a new approach in calibrating a light sectioning measurement system. The developed method permits the calibration of such a system without previous knowledge of the exact positions of camera and laser. The basic concepts of this new approach and its advantages compared ..."
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Abstract: This paper presents a new approach in calibrating a light sectioning measurement system. The developed method permits the calibration of such a system without previous knowledge of the exact positions of camera and laser. The basic concepts of this new approach and its advantages compared to common methods are discussed. Further, a possible implementation in an industrial process is given.
Direct least Square Fitting of Ellipses
, 1998
"... This work presents a new efficient method for fitting ellipses to scattered data. Previous algorithms either fitted general conics or were computationally expensive. By minimizing the algebraic distance subject to the constraint 4ac  b² = 1 the new method incorporates the ellipticity constraint ..."
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Cited by 430 (3 self)
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This work presents a new efficient method for fitting ellipses to scattered data. Previous algorithms either fitted general conics or were computationally expensive. By minimizing the algebraic distance subject to the constraint 4ac  b² = 1 the new method incorporates the ellipticity constraint
Penalized least squares fitting
 Serdica Math. J
, 2002
"... Abstract. Bounds on the error of certain penalized least squares data setting, more detailed results are included for several particularly interesting special cases, including splines in both one and several variables. 1. Introduction. We ..."
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Cited by 4 (0 self)
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Abstract. Bounds on the error of certain penalized least squares data setting, more detailed results are included for several particularly interesting special cases, including splines in both one and several variables. 1. Introduction. We
Least Squares Fitting of Ellipses
, 2014
"... In this section, we will detail the least squares method used to t an ellipse to given points in the plane. In analytic geometry, the ellipse is de ned as a collection of points (x, y) satisfying the following implicit equation [1]: Ãx 2 + ˜ Bxy + ˜ Cy 2 + ˜ Dx + ˜ Ey = ˜ F, where ˜ F ̸ = 0 and ˜ B ..."
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In this section, we will detail the least squares method used to t an ellipse to given points in the plane. In analytic geometry, the ellipse is de ned as a collection of points (x, y) satisfying the following implicit equation [1]: Ãx 2 + ˜ Bxy + ˜ Cy 2 + ˜ Dx + ˜ Ey = ˜ F, where ˜ F ̸ = 0
Least squares fitting of circles and lines
 Computer Vision and Pattern Recognition
, 2003
"... We study theoretical and computational aspects of the least squares fit (LSF) of circles and circular arcs. First we discuss the existence and uniqueness of LSF and various parametrization schemes. Then we evaluate several popular circle fitting algorithms and propose a new one that surpasses the ex ..."
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Cited by 9 (0 self)
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We study theoretical and computational aspects of the least squares fit (LSF) of circles and circular arcs. First we discuss the existence and uniqueness of LSF and various parametrization schemes. Then we evaluate several popular circle fitting algorithms and propose a new one that surpasses
An Algorithm for the Least SquareFitting of Ellipses
 Proceedings of IEEE International Conference on Tools with Artificial Intelligence (ICTAI
, 2010
"... AbstractIn this paper we propose a new algorithm for the least square fitting of ellipses from scattered data. Originally based on the one proposed by Fitzgibbon et Al in 1999, our procedure is able to overcome the numerical instability of that algorithm. We test our approach versus the latter and ..."
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Cited by 2 (1 self)
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AbstractIn this paper we propose a new algorithm for the least square fitting of ellipses from scattered data. Originally based on the one proposed by Fitzgibbon et Al in 1999, our procedure is able to overcome the numerical instability of that algorithm. We test our approach versus the latter
LeastSquares Fitting of a Hyperplane
, 2002
"... A method is developed for fitting a hyperplane to a set of data by leastsquares, allowing for independent uncertainties in all coordinates of each data point, and including an error analysis. ..."
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A method is developed for fitting a hyperplane to a set of data by leastsquares, allowing for independent uncertainties in all coordinates of each data point, and including an error analysis.
Estimating Errors in LeastSquares Fitting
, 1995
"... While leastsquares fltting procedures are commonly used in data analysis and are extensively discussed in the literature devoted to this subject, the proper assessment of errors resulting from such flts has received relatively little attention. The present work considers statistical errors in the ..."
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While leastsquares fltting procedures are commonly used in data analysis and are extensively discussed in the literature devoted to this subject, the proper assessment of errors resulting from such flts has received relatively little attention. The present work considers statistical errors
Least Squares Fitting of Circles and Ellipses
 BIT
, 1994
"... Fitting circles and ellipses to given points in the plane is a problem that arises in many application areas, e.g. computer graphics [1], coordinate metrology [2], petroleum engineering [11], statistics [7]. In the past, algorithms have been given which fit circles and ellipses in some least squares ..."
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Cited by 112 (0 self)
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Fitting circles and ellipses to given points in the plane is a problem that arises in many application areas, e.g. computer graphics [1], coordinate metrology [2], petroleum engineering [11], statistics [7]. In the past, algorithms have been given which fit circles and ellipses in some least
StateSpace Size Estimation By LeastSquares Fitting
"... We present a method for estimating the number of states in the continuous time Markov chains (CTMCs) underlying highlevel models using leastsquares fitting. Our work improves on existing techniques by producing a numerical estimate of the number of states rather than classifying the state space in ..."
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Cited by 1 (0 self)
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We present a method for estimating the number of states in the continuous time Markov chains (CTMCs) underlying highlevel models using leastsquares fitting. Our work improves on existing techniques by producing a numerical estimate of the number of states rather than classifying the state space
Results 1  10
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3,201