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A Note on Error Metrics and Optimization Criteria in 3D Vision (1999)  (Make Corrections)  
Matthias Mühlich, Dirk Feiden, Rudolf Mester



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Abstract: All computer vision algorithms applied to real data have to deal with input data corrupted by errors, which leads to the necessity to select an appropriate loss function and to minimize it. The fact that the errors in di#erent components can be of individual size or even be correlated, makes a statistical analysis of an algorithm absolutely necessary. A statistically justified loss function can only be obtained by a statistical consideration of errors, or, in other words,... (Update)

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0.5:   A Note on Error Metrics and Optimization Criteria in 3D Vision - Mühlich, Feiden, Mester (1999)   (Correct)
0.3:   A System-Theoretical View on Local Motion Estimation - Mester (2002)   (Correct)

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BibTeX entry:   (Update)

@misc{ hlich-note,
  author = "Matthias Mühlich and Dirk Feiden and Rudolf Mester",
  title = "A Note on Error Metrics and Optimization Criteria in 3D Vision",
  url = "citeseer.ist.psu.edu/744451.html" }
Citations (may not include all citations):
196   Linear Algebra and its Applications (context) - Strang - 1988
94   Shape and Motion from Image Streams: a Factorization Method - Tomasi, Kanade - 1992
25   Minimizing Algebraic Error (context) - Hartley - 1998
22   The Role of Total Least Squares in Motion Analysis (context) - Muhlich, Mester - 1998
16   the Optimization Criteria Used in Two-View Motion Analysis (context) - Zhang - 1998
15   Subspace Methods and Equilibration in Computer Vision - Muhlich, Mester - 1999
15   Subspace Methods and Equilibration in Computer Vision - Muhlich, Mester - 1999
10   Prentice Hall (context) - Papoulis - 1990
2   Factorization without Factorization: From Orthographic to Pe.. (context) - Kanatani - 1998
2   Robust Bayesian Motion Estimation in Planar Worlds using Mon.. (context) - Feiden, Muhlich et al. - 1999

Documents on the same site (http://www.vsi.cs.uni-frankfurt.de/research/publications.html):   More
Unbiased Errors-in-Variables Estimation Using Generalized.. - Mühlich, Mester   (Correct)
The Generalization, Optimization, and Information-Theoretic.. - Mester (2003)   (Correct)
A System-Theoretical View on Local Motion Estimation - Mester (2002)   (Correct)

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