Arbitrary shape Hough transform by invariant geometric features
Arbitrary shape Hough transform by invariant geometric features
The Hough transform (HT) is an established technique which evidences a shape by mapping image edge points into a parameter space. Previously, the formulation of the HT has been extended to extract analytic arbitrary shapes which change their appearance according to similarity transformations. In this paper, we discuss a more general formulation which incorporates the extraction of arbitrary shapes under more general transformations than similarity mappings. The main contributions of this paper are: we show that, in general, the complexity of the HT mapping does not depend on the complexity or irregularity of the shape to be located; and we demonstrate that the concept of invariance can provide a general principle to avoid increase in computational complexity when the HT is extended to arbitrary shapes and general transformations.
2661-2664
Aguado, A.S.
ad7e99c5-47ab-4f88-849a-c6e6d77e4200
Montiel, M.E.
4aefa43d-aeb9-4151-83f5-31fbab5664ba
Nixon, M.S.
2b5b9804-5a81-462a-82e6-92ee5fa74e12
1997
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.
(1997)
Arbitrary shape Hough transform by invariant geometric features.
IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation, , Orlando, FL, United States.
12 - 15 Oct 1997.
.
(doi:10.1109/ICSMC.1997.635337).
Record type:
Conference or Workshop Item
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Abstract
The Hough transform (HT) is an established technique which evidences a shape by mapping image edge points into a parameter space. Previously, the formulation of the HT has been extended to extract analytic arbitrary shapes which change their appearance according to similarity transformations. In this paper, we discuss a more general formulation which incorporates the extraction of arbitrary shapes under more general transformations than similarity mappings. The main contributions of this paper are: we show that, in general, the complexity of the HT mapping does not depend on the complexity or irregularity of the shape to be located; and we demonstrate that the concept of invariance can provide a general principle to avoid increase in computational complexity when the HT is extended to arbitrary shapes and general transformations.
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Published date: 1997
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Organisation: IEEE Address: Orlando, Florida
Venue - Dates:
IEEE International Conference on Systems, Man, and Cybernetics. Computational Cybernetics and Simulation, , Orlando, FL, United States, 1997-10-12 - 1997-10-15
Organisations:
Vision, Learning and Control
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Local EPrints ID: 250029
URI: http://eprints.soton.ac.uk/id/eprint/250029
PURE UUID: 624c0b25-9e1a-4bdd-bb0f-897c8b342c21
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Date deposited: 01 May 2000
Last modified: 15 Mar 2024 02:34
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Author:
A.S. Aguado
Author:
M.E. Montiel
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