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Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval

EURASIP Journal on Advances in Signal Processing volume 2007, Article number: 057354 (2007) Cite this article

Abstract

A specific formalism for virtual signal generation permits to transpose an image processing problem to an array processing problem. The existing method for straight-line characterization relies on the estimation of orientations and offsets of expected lines. This estimation is performed thanks to a subspace-based algorithm called subspace-based line detection (SLIDE). In this paper, we propose to retrieve circular and nearly circular contours in images. We estimate the radius of circles and we extend the estimation of circles to the retrieval of circular-like distorted contours. For this purpose we develop a new model for virtual signal generation; we simulate a circular antenna, so that a high-resolution method can be employed for radius estimation. An optimization method permits to extend circle fitting to the segmentation of objects which have any shape. We evaluate the performances of the proposed methods, on hand-made and real-world images, and we compare them with generalized Hough transform (GHT) and gradient vector flow (GVF).

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Authors and Affiliations

  1. GSM, Institut Fresnel, CNRS-UMR 6133, Ecole Centrale Marseille, Université Aix-Marseille III, D.U. de Saint Jérôme, Marseille Cedex 20, 13397, France

    Julien Marot & Salah Bourennane

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  1. Julien Marot
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  2. Salah Bourennane
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Correspondence to Julien Marot.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://doi.org/creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Marot, J., Bourennane, S. Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval. EURASIP J. Adv. Signal Process. 2007, 057354 (2007). https://doi.org/10.1155/2007/57354

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  • DOI: https://doi.org/10.1155/2007/57354

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