Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval

<p/> <p>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 pe...

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Main Authors: Marot Julien, Bourennane Salah
Format: Article
Language:English
Published: SpringerOpen 2007-01-01
Series:EURASIP Journal on Advances in Signal Processing
Online Access:http://asp.eurasipjournals.com/content/2007/057354
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author Marot Julien
Bourennane Salah
author_facet Marot Julien
Bourennane Salah
author_sort Marot Julien
collection DOAJ
description <p/> <p>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).</p>
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spelling doaj.art-642b8184f2c64a928d1b5a62b94ae7362022-12-22T01:21:55ZengSpringerOpenEURASIP Journal on Advances in Signal Processing1687-61721687-61802007-01-0120071057354Array Processing and Fast Optimization Algorithms for Distorted Circular Contour RetrievalMarot JulienBourennane Salah<p/> <p>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).</p>http://asp.eurasipjournals.com/content/2007/057354
spellingShingle Marot Julien
Bourennane Salah
Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval
EURASIP Journal on Advances in Signal Processing
title Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval
title_full Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval
title_fullStr Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval
title_full_unstemmed Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval
title_short Array Processing and Fast Optimization Algorithms for Distorted Circular Contour Retrieval
title_sort array processing and fast optimization algorithms for distorted circular contour retrieval
url http://asp.eurasipjournals.com/content/2007/057354
work_keys_str_mv AT marotjulien arrayprocessingandfastoptimizationalgorithmsfordistortedcircularcontourretrieval
AT bourennanesalah arrayprocessingandfastoptimizationalgorithmsfordistortedcircularcontourretrieval