Title
Hyper Least Squares and Its Applications
Abstract
We present a new form of least squares (LS), called ``hyper LS'', for geometric problems that frequently appear in computer vision applications. Doing rigorous error analysis, we maximize the accuracy by introducing a normalization that eliminates statistical bias up to second order noise terms. Our method yields a solution comparable to maximum likelihood (ML) without iterations, even in large noise situations where ML computation fails.
Year
DOI
Venue
2010
10.1109/ICPR.2010.10
Pattern Recognition
Keywords
Field
DocType
least mean squares methods,statistical analysis,geometric problem,hyper least squares method,statistical bias,ellipse fitting,fundamental matrix,geometric fitting,homography,least squares,maximum likelihood
Least squares,Normalization (statistics),Maximum likelihood,Homography,Artificial intelligence,Fundamental matrix (computer vision),Computation,Mathematical optimization,Pattern recognition,Algorithm,Geometric problems,Covariance matrix,Mathematics
Conference
ISSN
ISBN
Citations 
1051-4651
978-1-4244-7542-1
1
PageRank 
References 
Authors
0.37
11
4
Name
Order
Citations
PageRank
Prasanna Rangarajan1342.97
Kenichi Kanatani21468320.07
Hirotaka Niitsuma341.45
Yasuyuki Sugaya426725.45