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On using Directional Information for Parameter Space Decomposition in Ellipse Detection

On using Directional Information for Parameter Space Decomposition in Ellipse Detection
On using Directional Information for Parameter Space Decomposition in Ellipse Detection
In this paper we use the parametric polar representation to extend the application of edge directional information from circle to ellipse extraction. As a result we obtain a mapping which decomposes the parameter space required for ellipse extraction into two independent sub-spaces and one final histogram accumulator. The mapping includes the tangent of the angle of the first and second directional derivatives. These tangents are computed by considering edge direction at two border points. We show that the use of gradient information for parameter space decomposition avoids the intensive point labelling imposed by geometric constraints used by other approaches.
0031-3203
369--381
Aguado, A.S.
ad7e99c5-47ab-4f88-849a-c6e6d77e4200
Montiel, M.E.
4aefa43d-aeb9-4151-83f5-31fbab5664ba
Nixon, M.S.
2b5b9804-5a81-462a-82e6-92ee5fa74e12
Aguado, A.S.
ad7e99c5-47ab-4f88-849a-c6e6d77e4200
Montiel, M.E.
4aefa43d-aeb9-4151-83f5-31fbab5664ba
Nixon, M.S.
2b5b9804-5a81-462a-82e6-92ee5fa74e12

Aguado, A.S., Montiel, M.E. and Nixon, M.S. (1996) On using Directional Information for Parameter Space Decomposition in Ellipse Detection Pattern Recognition, 29, (3), 369--381.

Record type: Article

Abstract

In this paper we use the parametric polar representation to extend the application of edge directional information from circle to ellipse extraction. As a result we obtain a mapping which decomposes the parameter space required for ellipse extraction into two independent sub-spaces and one final histogram accumulator. The mapping includes the tangent of the angle of the first and second directional derivatives. These tangents are computed by considering edge direction at two border points. We show that the use of gradient information for parameter space decomposition avoids the intensive point labelling imposed by geometric constraints used by other approaches.

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Published date: 1996
Organisations: Southampton Wireless Group

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Local EPrints ID: 250059
URI: http://eprints.soton.ac.uk/id/eprint/250059
ISSN: 0031-3203
PURE UUID: 2dc6332e-d156-4385-860a-73375ac601d0

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Date deposited: 04 May 1999
Last modified: 18 Jul 2017 10:44

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Contributors

Author: A.S. Aguado
Author: M.E. Montiel
Author: M.S. Nixon

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