Title :
Renormalization for unbiased estimation
Author :
Kanatani, Kenichi
Author_Institution :
Dept. of Comput. Sci., Gunma Univ., Kiryu, Gunma, Japan
Abstract :
In many computer vision problems, it is necessary to robustly estimate parameter values from a large quantity of image data. In such problems, least-squares minimization is computationally the most convenient and practical solution method. The author shows that the least-squares solution is in general statistically biased in the presence of noise. A scheme called renormalization that iteratively removes the statistical bias by automatically adjusting to the image noise is presented. It is applied to the problem of estimating vanishing points and focuses of expansion and conic fitting
Keywords :
computer vision; least squares approximations; motion estimation; parameter estimation; computer vision; conic fitting; expansion; image data; image noise; least-squares minimization; noise; parameter values estimation; renormalization; statistical bias; unbiased estimation; vanishing points estimation; Cameras; Computer science; Computer vision; Convergence; Covariance matrix; Equations; Focusing; Image analysis; Parameter estimation; Pixel;
Conference_Titel :
Computer Vision, 1993. Proceedings., Fourth International Conference on
Conference_Location :
Berlin
Print_ISBN :
0-8186-3870-2
DOI :
10.1109/ICCV.1993.378156