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Total least squares

Known as: Least products regression, Standardised major axis regression, Reduced major axis regression 
In applied statistics, total least squares is a type of errors-in-variables regression, a least squares data modeling technique in which… 
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Related topics

Related topics

13 relations
Curve fittingDirect linear transformationEight-point algorithmErrors-in-variables models

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Perturbation analysis for mixed least squares–total least squares problems
In many linear parameter estimation problems, one can use the mixed least squares–total least squares (MTLS) approach to solve… 
2010
2010
A Contribution to the Conditioning of the Total Least-Squares Problem
We derive closed formulas for the condition number of a linear function of the total least-squares solution. Given an… 
2009
2009
Perturbation analysis and condition numbers of scaled total least squares problems
The standard approaches to solving an overdetermined linear system Ax ≈ b find minimal corrections to the vector b and/or the… 
Highly Cited
2004
Highly Cited
2004
Robust Generalized Total Least Squares Iterative Closest Point Registration
This paper investigates the use of a total least squares approach in a generalization of the iterative closest point (ICP… 
Highly Cited
2000
Highly Cited
2000
Likelihood functions and confidence bounds for total-least-squares problems
This paper addresses the derivation of likelihood functions and confidence bounds for problems involving over-determined linear… 
Highly Cited
1998
Highly Cited
1998
The Role of Total Least Squares in Motion Analysis
The main goal of this paper is to put well-established techniques for two-view motion analysis in the context of the theory of… 
Highly Cited
1993
Highly Cited
1993
The total least squares problem
Incandescent source of visible radiations comprises a refractory support member having a thin, refractory material layer… 
Highly Cited
1991
Highly Cited
1991
Performance analysis of the total least squares ESPRIT algorithm
The asymptotic distribution of the estimation error for the total least squares (TLS) version of ESPRIT is derived. The… 
Highly Cited
1991
Highly Cited
1991
The constrained total least squares technique and its applications to harmonic superresolution
The constrained total least squares (CTLS) method is a natural extension of TLS to the case when the noise components of the… 
Highly Cited
1987
Highly Cited
1987
Total least squares approach for frequency estimation using linear prediction
The resolution of the estimated closely spaced frequencies of the multiple sinusoids degrades as the signal-to-noise ratio (SNR… 
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