On the conic section fitting problem
Shklyar, S., Kukush, A., Markovsky, I. and Van Huffel, S (2007) On the conic section fitting problem. Journal of Multivariate Analysis, 98, (3), 588-624.
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Description/Abstract
Adjusted least squares (ALS) estimators for the conic section problem are considered. Consistency of the translation invariant version of ALS estimator is proved. The similarity invariance of the ALS estimator with estimated noise variance is shown. The conditions for consistency of the ALS estimator are relaxed compared with the ones of the paper Kukush et al. [Consistent estimation in an implicit quadratic measurement error model, Comput. Statist. Data Anal. 47(1) (2004) 123–147].
| Item Type: | Article |
|---|---|
| Keywords: | Adjusted least squares; Conic fitting; Consistent estimator; Ellipsoid fitting; Quadratic measurement error model |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 263303 |
| Date Deposited: | 06 Jan 2007 |
| Last Modified: | 21 Aug 2012 03:42 |
| Contributors: | Shklyar, S. (Author) Kukush, A. (Author) Markovsky, I. (Author) Van Huffel, S (Author) |
| Date: | 2007 |
| Status: | Published |
| Further Information: | Google Scholar |
| ISI Citation Count: | 0 |
| URI: | http://eprints.soton.ac.uk/id/eprint/263303 |
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