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https://hdl.handle.net/2440/33976
Type: | Conference paper |
Title: | Approximate maximum likelihood estimation of circle parameters using a phase-coded kernel |
Author: | Zelniker, Emanuel Emil Clarkson, V. L. |
Citation: | Approximate maximum likelihood estimation of circle parameters using a phase-coded kernel. Proceedings of EUSIPCO 2004 European Signal Processing Conference, 6 - 10 September 2004, Vienna, Austria: pp. 617 - 620 |
Issue Date: | 2004 |
Conference Name: | European Signal Processing Conference ( 12th : 2004 : Vienna, Austria) |
School/Discipline: | School of Computer Science |
Abstract: | The accurate fitting of a circle to noisy measurements of points on its circumference is an important and much-studied problem in statistics. ATHERTON & KERBYSON (Image and Vision Computing 17, 1999, 795-803) have proposed a complex convolutional circle parameter estimator. One of the estimators proposed is a ‘Phase-Coded Annulus’ to estimate for the centre and radius. ZELNIKER & CLARKSON (Digital Image Computing: Tech. and Appl. 2003, 509-518) have shown that it is possible to exactly describe the Maximum Likelihood Estimator (MLE) in terms of convolution under a certain model for ideal images formed from noisy circle points. In this paper, we investigate the relationship between the convolution of an ideal image with a Phase-Coded Kernel and the MLE. We compare our approximate MLE (AMLE) method to the DELOGNE-K°A SA Estimator which uses a least squares approach to solve for the circle parameters, the MLE as well as the theoretical CRAM´ER-RAO Lower Bound. |
Appears in Collections: | Computer Science publications |
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