CRAMER-RAO LOWER BOUNDS FOR ESTIMATION OF A CIRCULAR ARC CENTER AND ITS RADIUS

Authors
CHAN YT THOMAS SM
Citation
Yt. Chan et Sm. Thomas, CRAMER-RAO LOWER BOUNDS FOR ESTIMATION OF A CIRCULAR ARC CENTER AND ITS RADIUS, Graphical models and image processing, 57(6), 1995, pp. 527-532
Citations number
7
Categorie Soggetti
Computer Sciences, Special Topics","Computer Science Software Graphycs Programming
Journal title
Graphical models and image processing → ACNP
ISSN journal
10773169
Volume
57
Issue
6
Year of publication
1995
Pages
527 - 532
Database
ISI
SICI code
1077-3169(1995)57:6<527:CLBFEO>2.0.ZU;2-H
Abstract
The problem of determining the coordinates of a circle and its radius from a set of measurements of its are is of practical interest. We der ive the expression that gives the Cramer-Rao lower bounds of these est imates. These bounds are a function of the noise factor, the number of measurements, and the are length. Simulation results have corroborate d the derivations and shown that the estimator of [S. M. Thomas and Y. T. Chan, Comput. Vision Graphics Image Process. 45, 1989, 362-370] ac hieve the lower bounds. (C) 1995 Academic Press, Inc.